Univ.-Prof. Dr. Clemens Fuchs

  • C. Fuchs, C. Karolus, and D. Kreso, Decomposable polynomials in second order linear recurrence sequences. Manuscripta Math. 159 (2019), no. 3-4, 321–346
  • C. Fuchs, C. Hutle, F. Luca, and L. Szalay, Diophantine triples and k-generalized Fibonacci sequences. Bull. Malays. Math. Sci. Soc. 41 (2018), no. 3, 1449–1465
  • C. Fuchs, Clemens, C. Hutle, and F. Luca, Diophantine triples in linear recurrences of Pisot type. Res. Number Theory 4 (2018), no. 3, Art. 29, 22 pp
  • C. Fuchs, V. Mantova, and U. Zannier, On fewnomials, integral points, and a toric version of Bertini's theorem. J. Amer. Math. Soc. 31 (2018), no. 1, 107–134. doi: https://doi.org/10.1090/jams/878
  • C. Fuchs, C. Hutle, N. Irmak, F. Luca, and L. Szalay, Only finitely many Tribonacci Diophantine triples exist. Math. Slovaca 67 (2017), no. 4, 853–862
  • C. Fuchs and L. Hajdu, 30 years of collaboration… between the Austrian Diophantine Number Theory Research Group and the Number Theory and Cryptography School of Debrecen. Period. Math. Hungar. 74 (2017), no. 2, 255–274
  • C. Fuchs and D. H. Pham, Some applications of the p-adic analytic subgroup theorem. Glas. Mat. Ser. III 51 (71) (2016), no. 2, 335–343
  • C. Fuchs, A. Jurasić, and R. Paulin, Elementary resolution of a family of quartic Thue equations over function fields. Monatsh. Math. 180 (2016), 205-211, doi: 10.1007/s00605-015-0864-y
  • C. Fuchs and D. H. Pham, Commutative algebraic groups and p-adic linear forms. Acta Arith. 169 (2015), no. 2, 115–147
  • C. Fuchs and D. H. Pham, The p-adic analytic subgroup theorem revisited. p-Adic Numbers Ultrametric Anal. Appl. 7 (2015), no. 2, 143–156
  • C. Fuchs and D. H. Pham, Commutative algebraic groups and p-adic linear forms.  Acta Arith. 169 (2015), no. 2, 115-147
  • U. Zannier (ed.), On Some Applications of Diophantine Aproximations - A translation of C.L. Siegel's "Über einige Anwendungen diophantischer Approximationen", with a commentary by C. Fuchs and U. Zannier. Edizioni della Normale, Scuola Normale Superiore Pisa, 2014
  • C. Fuchs and G. Wüstholz, Übungen zur Algebra. Aufgaben - Lösungen - Probeklausuren. Aufbaukurs Mathematik. Springer Spektrum, Wiesbaden, 2014
  • Y. F. Bilu, C. Fuchs, F. Luca, and Á. Pintér,  Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations. Publ. Math. Debrecen 82 (2013), no. 1, 219–254
  • C. Fuchs and T. N. Shorey, Divisibility properties of hypergeometric polynomials. J. Comb. Number Theory 4 (2012), no. 2, 77–86
  • A. Dujella and C. Fuchs, On a problem of Diophantus for rationals. J. Number Theory 132 (2012), no. 10, 2075–2083
  • C. Fuchs and U. Zannier, Composite rational functions expressible with few terms. J. Eur. Math. Soc. (JEMS) 14 (2012), no. 1, 175–208
  • C. Fuchs, Angle trisection with origami and related topics. Elem. Math. 66 (2011), no. 3, 121–131
  • C. Fuchs, R. von Känel, and G. Wüstholz, An effective Shafarevich theorem for elliptic curves. Acta Arith. 148 (2011), no. 2, 189–203
  • C. Fuchs and A. Pethő, Composite rational functions having a bounded number of zeros and poles. Proc. Amer. Math. Soc. 139 (2011), no. 1, 31–38
  • C. Fuchs, Polynomial-exponential equations involving multi-recurrences. Studia Sci. Math. Hungar. 46 (2009), no. 3, 377–398
  • C. Fuchs and T. N. Shorey, Divisibility properties of generalized Laguerre polynomials. Indag. Math. (N.S.) 20 (2009), no. 2, 217–231
  • C. Fuchs, R. Tichy, and V. Ziegler, On quantitative aspects of the unit sum number problem. Arch. Math. (Basel) 93 (2009), no. 3, 259–268
  • C. Fuchs, F. Luca, and L. Szalay, Diophantine triples with values in binary recurrences. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7 (2008), no. 4, 579–608
  • C. Fuchs, A. Pethö, and R. F. Tichy, On the Diophantine equation G_n(x)=G_m(y) with Q(x,y)=0. Developments in Mathematics 16 (2008), 199-209. In: ''Diophantine Approximation. Festschrift for Wolfgang Schmidt'' (H.P. Schlickewei, K. Schmidt, R.F. Tichy, eds.), Springer-Verlag, Wien, 2008
  • A. Dujella, C. Fuchs, and F. Luca, A polynomial variant of a problem of Diophantus for pure powers. Int. J. Number Theory 4 (2008), no. 1, 57–71
  • C. Fuchs and B. Jadrijević, On a parametric family of Thue inequalities over function fields. Math. Proc. Cambridge Philos. Soc. 143 (2007), no. 1, 9–23
  • A. Dujella, A. Filipin, and C. Fuchs, Effective solution of the D(−1)-quadruple conjecture. Acta Arith. 128 (2007), no. 4, 319–338
  • C. Fuchs and R. Tijdeman, Substitutions, abstract number systems and the space filling property. Numération, pavages, substitutions. Ann. Inst. Fourier (Grenoble) 56 (2006), no. 7, 2345–2389
  • A. Dujella, C. Fuchs, and G. Walsh, Diophantine m-tuples for linear polynomials. II. Equal degrees. J. Number Theory 120 (2006), no. 2, 213–228
  • C. Fuchs and V. Ziegler, Thomas's family of Thue equations over function fields. Q. J. Math. 57 (2006), no. 1, 81–91
  • C. Fuchs and V. Ziegler, On a family of Thue equations over function fields. Monatsh. Math. 147 (2006), no. 1, 11–23
  • C. Fuchs and  A. Pethö, Effective bounds for the zeros of linear recurrences in function fields. J. Théor. Nombres Bordeaux 17 (2005), no. 3, 749–766
  • C. Fuchs,  Diophantine problems with linear recurrences via the subspace theorem. Integers: Electronic Journal of Combinatorial Number Theory 5(3) (2005), #A08
  • A. Dujella and C. Fuchs,  Complete solution of a problem of Diophantus and Euler. J. London Math. Soc. (2) 71 (2005), no. 1, 33–52
  • C. Fuchs and A. Scremin,  Diophantine inequalities involving several power sums. Manuscripta Math. 115 (2004), no. 2, 163–178
  • C. Fuchs and A. Scremin,  Polynomial-exponential equations involving several linear recurrences. Publ. Math. Debrecen 65 (2004), no. 1-2, 149–172
  • A. Dujella and C. Fuchs, Complete solution of the polynomial version of a problem of Diophantus. J. Number Theory 106 (2004), no. 2, 326–344
  • C. Fuchs, On the Diophantine equation G_n(x)=G_m(P(x)) for third order linear recurring sequences. Port. Math. (N.S.) 61 (2004), no. 1, 1–24
  • C. Fuchs, Polynomial-exponential equations and linear recurrences. Glas. Mat. Ser. III 38(58) (2003), no. 2, 233–252
  • A. Dujella and C. Fuchs, A polynomial variant of a problem of Diophantus and Euler. Rocky Mountain J. Math. 33 (2003), no. 3, 797–811
  • C. Fuchs, A. Pethő and R. F. Tichy, On the Diophantine equation G_n(x)=G_m(P(x)): higher-order recurrences. Trans. Amer. Math. Soc. 355 (2003), no. 11, 4657–4681
  • C. Fuchs, An upper bound for the G.C.D. of two linear recurring sequences. Math. Slovaca 53 (2003), no. 1, 21–42
  • C. Fuchs and R. F. Tichy, Perfect powers in linear recurring sequences. Acta Arith. 107 (2003), no. 1, 9–25
  • A. Dujella, C. Fuchs and R. F. Tichy, Diophantine m-tuples for linear polynomials. Period. Math. Hungar. 45 (2002), no. 1-2, 21–33
  • C. Fuchs, A. Pethő and R. F. Tichy, On the Diophantine equation G_n(x)=G_m(P(x)). Monatsh. Math. 137 (2002), no. 3, 173–196

Ao.Univ.-Prof. Dr. Peter Hellekalek

  • P. Hellekalek, P. Kritzer and F. Pillichshammer, Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. J. Complexity 33 (2016), 169–189.
  • G. Barat, P. J. Grabner and P. Hellekalek, Pierre Liardet (1943–2014) in memoriam. Obituary: Liardet, Pierre-Yvon. Eur. Math. Soc. Newsl. No. 97 (2015), 52–58.
  • P. Hellekalek, On an important family of inequalities of Niederreiter involving exponential sums. Applied algebra and number theory, 144–163, Cambridge Univ. Press, Cambridge, 2014
  • P. Hellekalek, The hybrid spectral test: a unifying concept. Uniform distribution and quasi-Monte Carlo methods, 127–145, Radon Ser. Comput. Appl. Math., 15, De Gruyter, Berlin, 2014
  • P. Hellekalek, A hybrid inequality of Erdös–Turán–Koksma for digital sequences. Monatsh. Math. 173 (2014), no. 1, 55–66
  • C. Fuchs, P. Hellekalek and M. Thaler: Mathematik in Salzburg, Internat. Math. Nachrichten 222 (2013), 33-42
  • P. Hellekalek, Hybrid function systems in the theory of uniform distribution of sequences. Monte Carlo and quasi-Monte Carlo methods 2010, 435–449, Springer Proc. Math. Stat., 23, Springer, Heidelberg, 2012
  • P. Hellekalek and P. Kritzer, On the diaphony of some finite hybrid point sets. Acta Arith. 156 (2012), no. 3, 257–282
  • P. J. Grabner, P. Hellekalek and P. Liardet, The dynamical point of view of low-discrepancy sequences. Unif. Distrib. Theory 7 (2012), no. 1, 11–70
  • P. Hellekalek and H. Niederreiter, Constructions of uniformly distributed sequences using the b-adic method. Unif. Distrib. Theory 6 (2011), no. 1, 185–200
  • P. Hellekalek, A notion of diaphony based on p-adic arithmetic. Acta Arith. 145 (2010), no. 3, 273–284
  • P. Hellekalek, A general discrepancy estimate based on p-adic arithmetics. Acta Arith. 139 (2009), no. 2, 117–129
  • P. Hellekalek and P. Liardet, The dynamics associated with certain digital sequences. Probability and number theory—Kanazawa 2005, 105–131, Adv. Stud. Pure Math., 49, Math. Soc. Japan, Tokyo, 2007
  • P. Hellekalek, Digital (t,m,s)-nets and the spectral test. Acta Arith. 105 (2002), no. 2, 197–204
  • K. Entacher, P. Hellekalek and P. L'Ecuyer, Quasi-Monte Carlo node sets from linear congruential generators. Monte Carlo and quasi-Monte Carlo methods 1998 (Claremont, CA), 188–198, Springer, Berlin, 2000
  • P. L'Ecuyer and P. Hellekalek, Random number generators: selection criteria and testing. Random and quasi-random point sets, 223–265, Lecture Notes in Statist., 138, Springer, New York, 1998
  • P. Hellekalek, On the assessment of random and quasi-random point sets. Random and quasi-random point sets, 49–108, Lecture Notes in Statist., 138, Springer, New York, 1998
  • P. Hellekalek, On correlation analysis of pseudorandom numbers. Monte Carlo and quasi-Monte Carlo methods 1996 (Salzburg), 251–265, Lecture Notes in Statist., 127, Springer, New York, 1998
  • P. Hellekalek and H. Leeb, Dyadic diaphony. Acta Arith. 80 (1997), no. 2, 187–196P. Hellekalek, General discrepancy estimates. III. The Erdős-Turán-Koksma inequality for the Haar function system. Monatsh. Math. 120 (1995), no. 1, 25–45
  • P. Hellekalek, General discrepancy estimates. II. The Haar function system. Acta Arith. 67 (1994), no. 4, 313–322
  • P. Hellekalek, General discrepancy estimates: The Walsh function system. Acta Arith. 67 (1994), no. 3, 209–218 
  • P. Hellekalek, Weyl sums over irrational rotations. Österreichisch-Ungarisch-Slowakisches Kolloquium über Zahlentheorie (Maria Trost, 1992), 29–44, Grazer Math. Ber., 318, Karl-Franzens-Univ. Graz, Graz, 1993
  • P. Hellekalek, On the boundedness of Weyl sums. Monatsh. Math. 114 (1992), no. 3-4, 199–208P. Hellekalek, Ergodicity of a class of cylinder flows related to irregularities of distribution. Compositio Math. 61 (1987), no. 2, 129–136
  • P. Hellekalek, Regularities in the distribution of special sequences. J. Number Theory 18 (1984), no. 1, 41–55
  • P. Hellekalek, On regularities of the distribution of special sequences. Monatsh. Math. 90 (1980), no. 4, 291–295
  • P. Hellekalek, Über das Wachstum von Lp-Normen. (German) Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 188 (1979), no. 4-7, 189–199
  • P. Hellekalek, Zur Konvergenz der Ln-Diskrepanz gegen die extreme Diskrepanz. (German) Monatsh. Math. 88 (1979), no. 1, 1–6

Ao.Univ.-Prof. Dr. Wolfgang Schmid

  • G. Larcher and W. Ch. Schmid, Harald Niederreiter at 70. Unif. Distrib. Theory 10 (2015), no. 1, i–v
  • F. Pausinger and W. Ch. Schmid, On the asymptotics of a lower bound for the diaphony of generalized van der Corput sequences. Monte Carlo methods and applications, 163–169, De Gruyter Proc. Math., De Gruyter, Berlin, 2013
  • F. Pausinger and W. Ch. Schmid, A lower bound for the diaphony of generalised van der Corput sequences in arbitrary base b. Unif. Distrib. Theory 6 (2011), no. 2, 31–46
  • T. Müller-Gronbach, L. Plaskota and W. Ch. Schmid, Guest editors' preface [Dagstuhl 2009—Seminar "Algorithms and Complexity for Continuous Problems'']. Held at Schloss Dagstuhl, September 2009. J. Complexity 27 (2011), no. 3-4, 263. 65-06
  • F. Pausinger and W. Ch. Schmid, A good permutation for one-dimensional diaphony. Monte Carlo Methods Appl. 16 (2010), no. 3-4, 307–322
  • R. Schürer and W. Ch. Schmid, MinT—architecture and applications of the (t,m,s)-net and OOA database. Math. Comput. Simulation 80 (2010), no. 6, 1124–1132
  • H. Faure, F. Pillichshammer, G. Pirsic and W. Ch. Schmid, L2 discrepancy of generalized two-dimensional Hammersley point sets scrambled with arbitrary permutations. Acta Arith. 141 (2010), no. 4, 395–418
  • R. Schürer and W. Ch. Schmid, MinT—new features and new results. Monte Carlo and quasi-Monte Carlo methods 2008, 171–189, Springer, Berlin, 2009
  • A. Hinrichs, F. Pillichshammer and W. Ch. Schmid, Tractability properties of the weighted star discrepancy. J. Complexity 24 (2008), no. 2, 134–143
  • J. Dick, P. Kritzer, F. Pillichshammer and W. Ch. Schmid, On the existence of higher order polynomial lattices based on a generalized figure of merit. J. Complexity 23 (2007), no. 4-6, 581–593
  • R. Schürer and W. Ch. Schmid, MinT: a database for optimal net parameters. Monte Carlo and quasi-Monte Carlo methods 2004, 457–469, Springer, Berlin, 2006
  • J. Bierbrauer and W. Ch. Schmid, An asymptotic Gilbert-Varshamov bound for (T,M,S)-nets. Integers 5 (2005), no. 3, A4, 11 pp
  • K. Entacher, T. Schell, W. Ch. Schmid and A. Uhl, Defects in parallel Monte Carlo and quasi-Monte Carlo integration using the leap-frog technique. Algorithms and applications of parallel numerics (Bratislava, 2000). Parallel Algorithms Appl. 18 (2003), no. 1-2, 13–26
  • J. Bierbrauer, Y. Edel and W. Ch. Schmid, Coding-theoretic constructions for (t,m,s)-nets and ordered orthogonal arrays. J. Combin. Des. 10 (2002), no. 6, 403–418
  • G. Pirsic and W. Ch. Schmid, Calculation of the quality parameter of digital nets and application to their construction. Complexity of multivariate problems (Kowloon, 1999). J. Complexity 17 (2001), no. 4, 827–839
  • W. Ch. Schmid and A. Uhl, Techniques for parallel quasi-Monte Carlo integration with digital sequences and associated problems. The Second IMACS Seminar on Monte Carlo Methods (Varna, 1999). Math. Comput. Simulation 55 (2001), no. 1-3, 249–257
  • W. Ch. Schmid, Projections of digital nets and sequences. The Second IMACS Seminar on Monte Carlo Methods (Varna, 1999). Math. Comput. Simulation 55 (2001), no. 1-3, 239–247
  • C. Lécot and W. Ch. Schmid, Particle approximation of convection-diffusion equations. The Second IMACS Seminar on Monte Carlo Methods (Varna, 1999). Math. Comput. Simulation 55 (2001), no. 1-3, 123–130
  • W. Ch. Schmid, Improvements and extensions of the "Salzburg tables'' by using irreducible polynomials. Monte Carlo and quasi-Monte Carlo methods 1998 (Claremont, CA), 436–447, Springer, Berlin, 2000
  • W. Ch. Schmid, The exact quality parameter of nets derived from Sobolʹ and Niederreiter sequences. Recent advances in numerical methods and applications, II (Sofia, 1998), 296–304, World Sci. Publ., River Edge, NJ, 1999
  • W. Ch. Schmid, Shift-nets: a new class of binary digital (t,m,s)-nets. Monte Carlo and quasi-Monte Carlo methods 1996 (Salzburg), 369–381, Lecture Notes in Statist., 127, Springer, New York, 1998
  • W. Ch. Schmid and R. Wolf, Bounds for digital nets and sequences. Acta Arith. 78 (1997), no. 4, 377–399
  • K. M. Lawrence, A. Mahalanabis, G. L. Mullen and W. Ch. Schmid, Construction of digital (t,m,s)-nets from linear codes. Finite fields and applications (Glasgow, 1995), 189–208, London Math. Soc. Lecture Note Ser., 233, Cambridge Univ. Press, Cambridge, 1996
  • G. M. Mullen and W. Ch. Schmid, An equivalence between (t,m,s)-nets and strongly orthogonal hypercubes. J. Combin. Theory Ser. A 76 (1996), no. 1, 164–174
  • G. Larcher, H. Niederreiter and W. Ch. Schmid, Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration. Monatsh. Math. 121 (1996), no. 3, 231–253
  • G. Larcher and W. Ch. Schmid, Multivariate Walsh series, digital nets and quasi-Monte Carlo integration. Monte Carlo and quasi-Monte Carlo methods in scientific computing (Las Vegas, NV, 1994), 252–262, Lecture Notes in Statist., 106, Springer, New York, 1995
  • G. Larcher, W. Ch. Schmid and R. Wolf, Representation of functions as Walsh series to different bases and an application to the numerical integration of high-dimensional Walsh series. Math. Comp. 63 (1994), no. 208, 701–716

Ass.-Prof. Dr. Volker Ziegler

  • M. Szikszai and V. Ziegler, On arithmetic progressions in Lucas sequences—II. J. Number Theory 201 (2019), 354–376
  • B. He, A. Togbé,  and V. Ziegler, There is no Diophantine quintuple. Trans. Amer. Math. Soc. 371 (2019), no. 9, 6665–6709
  • J. Odjoumani, A. Togbé, and V. Ziegler, On a family of biquadratic fields that do not admit a unit power integral basis. Publ. Math. Debrecen 94 (2019), no. 1-2, 1–19
  • K. C. Chim and V. Ziegler, On Diophantine equations involving sums of Fibonacci numbers and powers of 2. Integers 18 (2018), Paper No. A99, 30 pp.
  • I. Pink and V. Ziegler, Effective resolution of Diophantine equations of the form u_n+u_m=wp_1^{z_1}\cdots p_s^{z_s}. Monatsh. Math. 185 (2018), no. 1, 103–131
  • D. Krenn and V. Ziegler, Non-minimality of the width-w non-adjacent form in conjunction with trace one τ-adic digit expansions and Koblitz curves in characteristic two. Math. Comp. 87 (2018), no. 310, 821–854
  • K. C. Chim, I. Pink and V. Ziegler, On a variant of Pillai's problem II. J. Number Theory 183 (2018), 269–290
  • M. R. Iacò and V. Ziegler, Discrepancy of generalized LS-sequences. Unif. Distrib. Theory 12 (2017), no. 2, 37–63
  • A. Bérczes, F. Luca, I. Pink and V. Ziegler, Trinomials with integral S-unit coefficients having a quadratic factor. Indag. Math. (N.S.) 28 (2017), no. 6, 1200–1209
  • L. Hajdu, M. Szikszai and V. Ziegler, On arithmetic progressions in Lucas sequences. J. Integer Seq. 20 (2017), no. 8, Art. 17.8.6, 18 pp
  • M. G. Madritsch, P. Surer and V. Ziegler, On multiplicative independent bases for canonical number systems in cyclotomic number fields. Number theory - Diophantine problems, uniform distribution and applications, 313–332, Springer, Cham, 2017
  • K. C. Chim, I. Pink and V. Ziegler, On a variant of Pillai's problem. Int. J. Number Theory 13 (2017), no. 7, 1711–1727
  • M. Hofer and V. Ziegler, On corner avoidance of β-adic Halton sequences. Ann. at. Pura Appl. (4) 195 (2016), no. 3, 957–975
  • A. Bérczes, F. Luca, I. Pink and V. Ziegler, Finiteness results for Diophantine triples with repdigit values. Acta Arith. 172 (2016), no. 2, 133–148
  • M. Madritsch and V. Ziegler, An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields. Acta Sci. Math. (Szeged) 81 (2015), no. 1-2, 33–44
  • M. G. Madritsch and V. Ziegler, On multiplicatively independent bases in cyclotomic number fields. Acta Math. Hungar. 146 (2015), no. 1, 224–239
  • L. Szalay and V. Ziegler, S-Diophantine quadruples with S={2,q}. Int. J. Number Theory 11 (2015), no. 3, 849–868
  • D. Dombek, Z. Masáková and V. Ziegler, On distinct unit generated fields that are totally complex. J. Number Theory 148 (2015), 311–327
  • A. Bérczes and V. Ziegler, On simultaneous palindromes. J. Comb. Number Theory 6 (2014), no. 1, 37–49
  • C. Aistleitner, M. Hofer and V. Ziegler, On the uniform distribution modulo 1 of multidimensional LS-sequences. Ann. Mat. Pura Appl. (4) 193 (2014), no. 5, 1329–1344
  • C. Frei, R. Tichy and V. Ziegler, On sums of S-integers of bounded norm. Monatsh. Math. 175 (2014), no. 2, 241–247
  • F. Luca and V. Ziegler, A note on the number of S-Diophantine quadruples. Commun. Math. 22 (2014), no. 1, 49–55
  • L. Hajdu and V. Ziegler, Distinct unit generated totally complex quartic fields. Math. Comp. 83 (2014), no. 287, 1495–1512
  • L. Szalay and V. Ziegler, S-Diophantine quadruples with two primes congruent to 3 modulo 4. Integers 13 (2013), Paper No. A80, 9 pp
  • F. Luca and V. Ziegler, Multiplicative relations on binary recurrences. Acta Arith. 161 (2013), no. 2, 183–199
  • D. Krenn, J. Thuswaldner and V. Ziegler, On linear combinations of units with bounded coefficients and double-base digit expansions. Monatsh. Math. 171 (2013), no. 3-4, 377–394
  • L. Szalay and V. Ziegler, On an S-unit variant of Diophantine m-tuples. Publ. Math. Debrecen 83 (2013), no. 1-2, 97–121
  • A. Bérczes and V. Ziegler, On geometric progressions on Pell equations and Lucas sequences. Glas. Mat. Ser. III 48(68) (2013), no. 1, 1–22
  • Á. Pintér and V. Ziegler, On arithmetic progressions in recurrences—a new characterization of the Fibonacci sequence. J. Number Theory 132 (2012), no. 8, 1686–1706
  • V. Ziegler, On unit power integral bases of Z[4√m]. Period. Math. Hungar. 63 (2011), no. 1, 101–112
  • A. Pethő and V. Ziegler, On biquadratic fields that admit unit power integral basis. Acta Math. Hungar. 133 (2011), no. 3, 221–241
  • J. Thuswaldner and V. Ziegler, On linear combinations of units with bounded coefficients. Mathematika 57 (2011), no. 2, 247–262
  • V. Ziegler, The additive S-unit structure of quadratic fields. Int. J. Number Theory 7 (2011), no. 3, 635–644
  • C. Aistleitner, P. A. Mayer and V. Ziegler, Metric discrepancy theory, functions of bounded variation and gcd sums. Unif. Distrib. Theory 5 (2010), no. 1, 95–109
  • V. Ziegler, On a family of Thue equations of degree 16. Math. Comp. 79 (2010), no. 272, 2407–2429
  • V. Ziegler, On Thue equations of splitting type over function fields. Rocky Mountain J. Math. 40 (2010), no. 2, 723–747
  • C. Fuchs, R. Tichy and V. Ziegler, On quantitative aspects of the unit sum number problem. Arch. Math. (Basel) 93 (2009), no. 3, 259–268
  • A. Filipin, R. Tichy and V. Ziegler, The additive unit structure of pure quartic complex fields. Funct. Approx. Comment. Math. 39 (2008), part 1, 113–131
  • V. Ziegler: The additive unit structure of complex biquadratic fields. Glas. Mat. Ser. III 43(63) (2008), no. 2, 293–307
  • A. Filipin, R. Tichy and V. Ziegler, On the quantitative unit sum number problem—an application of the subspace theorem. Acta Arith. 133 (2008), no. 4, 297–308
  • A. Pethő and V. Ziegler, Arithmetic progressions on Pell equations. J. Number Theory 128 (2008), no. 6, 1389–1409
  • J. Hartinger and V. Ziegler, On corner avoidance properties of random-start Halton sequences. SIAM J. Numer. Anal. 45 (2007), no. 3, 1109–1121 (electronic)
  • A. Knopfmacher, R. F. Tichy, S. Wagner and V. Ziegler, Graphs, partitions and Fibonacci numbers. Discrete Appl. Math. 155 (2007), no. 10, 1175–1187
  • V. Ziegler, Thomas' conjecture over function fields. J. Théor. Nombres Bordeaux 19 (2007), no. 1, 289–309
  • R. F. Tichy and V. Ziegler, Units generating the ring of integers of complex cubic fields. Colloq. Math. 109 (2007), no. 1, 71–83
  • V. Ziegler, On the distribution of the order of number field elements modulo prime ideals. Unif. Distrib. Theory 1 (2006), no. 1, 65–85
  • B. Jadrijević and V. Ziegler, A system of relative Pellian equations and a related family of relative Thue equations. Int. J. Number Theory 2 (2006), no. 4, 569–590
  • V. Ziegler, On a family of relative quartic Thue inequalities. J. Number Theory 120 (2006), no. 2, 303–325
  • V. Ziegler, On a certain family of quartic Thue equations with three parameters. Glas. Mat. Ser. III 41(61) (2006), no. 1, 9–30
  • A. Bérczes, A. Pethő and V. Ziegler, Parameterized norm form equations with arithmetic progressions. J. Symbolic Comput. 41 (2006), no. 7, 790–810
  • C. Fuchs and V. Ziegler, Thomas's family of Thue equations over function fields. Q. J. Math. 57 (2006), no. 1, 81–91
  • C. Fuchs and V. Ziegler, On a family of Thue equations over function fields. Monatsh. Math. 147 (2006), no. 1, 11–23
  • V. Ziegler, On a family of cubics over imaginary quadratic fields. Period. Math. Hungar. 51 (2005), no. 2, 109–130
  • J. Hartinger, R. Kainhofer and V. Ziegler, On the corner avoidance properties of various low-discrepancy sequences. Integers 5 (2005), no. 3, A10, 16 pp
  • C. Heuberger, A. Togbé and V. Ziegler, Automatic solution of families of Thue equations and an example of degree 8. J. Symbolic Comput. 38 (2004), no. 3, 1145–1163
  • News
    The new edition of the journal for practical philosophy is now online, with its finger on the pulse is also takes into account one topic that is shaping us like no other:the Corona pandemic. It is one of the two main focuses of the issue and its considerable scope not only reflects the importance of this topic, but also the real need to reflect philosophically and ethically on the diverse consequences of this pandemic.
    On Monday, 25. January 2021 at 6:00 pm, the online event "Infected Democracy" will take place as part of the course "Change- News in the Context of Politics, Economics and Technology“ under the leadership of Josef Trappel and Stefan Gadringer.
    With the PLUS Talk, a new form of communication was introduced to the Paris Lodron University of Salzburg in 2020. Within the framework of this format members of the rectorate discuss certain key issues with employees of the PLUS, students and public representatives. The discussions take place LIVE and offer participants the opportunity to ask questions on current topics.
    On Wednesday 17th March 2021 PLUS is holding a virtual open day and warmly invites all interested pupils and final year classes offenen. Further information can be found under www.uni-salzburg.at/openday.
    After talks with the ministry and intensive consultation with the deans, the rectorate of the Paris Lodron University of Salzburg has decided that exams should generally only be conducted online at the moment. The following points apply here:
    There are numerous challenges in everyday elementary education, not only in Corona times. The art lies in dealing constructively with challenging situations. The fourth day of elementary education in Salzburg on 22nd January 2021, which will take place in digital form due to the pandemic-related measures, is dedicated to the topic of "Dealing with challenges in a solution-oriented way - competently and safely".
    Dialogue and Liberation in a Digital Future - Place and time: Paris Lodron University Salzburg; 14-16 October 2021 - Contact: markus.maier@stud.sbg.ac.at
    INTERDISCIPLINARY CONGRESS under the leadership of Reinhard Heinisch, Reinhard Klaushofer, Christoph Kühberger and Margit Reiter
    As part of the series „MUSIC & MEDICINE“ the cooperation focus group science and art is organising another online lecture on the 27th January 2021.
    10 am /Online-Matinee with lecture and discussion „Artes“ series with Robert Brennan and Wolf-Dietrich Löhr.
    As part of the series „MUSIC & MEDICINE“ the cooperation focus group science and culture is organising another online lecture on the 3rd February 2021.
    The Law Academy at the University of Salzburg is offering three online seminars in January 2021 on the topics of an update to competition law (antitrust law and UWG) on Friday, 15 January 2021, an update to company law on Friday, 22 January 2021 and an update to warranty law on Friday, 29th January 2021.
    We would like to remind you of the Call for Lectures, which is still open until 28th February. Apply to be a lecturer at the ditact_women‘s IT summer studies, which will take place from the 23rd August.- 04th September 2021 at the University of Salzburg. It is very important to us to also support young female lecturers. E
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  • 22.01.21 Friderike ›Zweig‹ und weibliche Intellektualität im frühen 20. Jahrhundert
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    28.01.21 Making Art Modern? Views from the Italian Renaissance.
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    28.01.21 Performing under pressure: Mechanisms and interventions.
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