# Publication List of Volker Ziegler

1. Heuberger C., Togbe A. and Ziegler V.:
Automatic solutions of families of Thue equations and an example of degree 8,
Journal of Symbolic Computations 38 (2004), 1145-1163. (Preprint)

2. Knopfmacher A., Tichy R., Wagner S. and Ziegler V.:
Graphs, Partitions and Fibonacci Numbers,
Discrete Applied Mathematics 155 (2007), no. 10, 1175-1187. (Preprint)

3. Ziegler V.:
On a family of cubics over imaginary quadratic fields,
Periodica Mathematica Hungarica 51 (2005), no. 2, 109-130. (Preprint)

4. Ziegler V.:
On a family of relative quartic Thue inequalities,
Journal of Number Theory 120 (2006), no. 2, 303-325. (Preprint)

5. Fuchs C. and Ziegler V.:
On a Family of Thue Equations over Function Fields,
Monatsh. Math. 147 (2006) 11-23. (Preprint)

6. Fuchs C. and Ziegler V.:
Thomas' Family of Thue equations over Function Fields,
Quart. J. Math. Oxford 57 (2006), 81-91. (Preprint)

7. Hartinger J., Kainhofer R. and Ziegler V.:
On the corner avoidance properties of various low-discrepancy sequences,
INTEGERS, Electronic Journal of Combinatorial Number Theory 5 (2005), no. 3, A10. (Preprint)

8. Jadrijević B. and Ziegler V.:
A system of relative Pellian equations and a related family of relative Thue equations,
Int. J. Number Theory 2 (2006), no. 4, 569-590. (Preprint)

9. Ziegler V.:
On a certain Family of quartic Thue Equations with three Parameters,
Glasnik Mathematički 41(61) (2006), no. 1, 9-30. (Preprint)

10. Bérczes A., Pethő A. and Ziegler V.:
Parameterized Norm Form Equations with Arithmetic Progressions,
Journal of Symbolic Computations 41 (2006), 790-810. (Preprint)

11. Hartinger J. and Ziegler V.:
On corner avoidance properties of random-start Halton sequences,
SIAM J. Numer. Anal. 45 (2007), no. 3, 1109-1121. (Preprint)

12. Ziegler V.:
Thomas' conjecture over Function Fields,
J. Theor. Nombres Bordeaux, 19 (2007), no. 1, 289-309. (Preprint)

13. Pethő A. and Ziegler V.:
Arithmetic progressions on Pell equations,
J. Number Theory 128 (2008), no. 6, 1389-1409. (Preprint)

14. Tichy R. and Ziegler V.:
Units generating the ring of integers of complex cubic fields,
Colloq. Math. 109 (2007), no. 1, 71-83. (Preprint)

15. Ziegler V.:
On the distribution of the order of number field elements modulo prime ideals,
Unif. Distrib. Theory 1 (2006), no. 1, 65-85. (Preprint)

16. Ziegler V.:
Glasnik Matematički 43 (2008), no. 2, 293-307. (Preprint)

17. Filipin A., Tichy R. and Ziegler V.:
The additive unit structure of purely quartic complex fields,
Funct. Approx. Comment. Math. 39 (2008), no. 6, 113-131. (Preprint)

18. Filipin A., Tichy R. and Ziegler V.:
On the quantitative unit sum number problem - an application of the Subspace Theorem,
Acta Arithmetica 133 (2008), no. 4, 297-308. (Preprint)

19. Ziegler V.:
On Thue equations of splitting type over function fields,
Rocky Mountain Journal of Mathematics 40 (2010), no. 2, 723-747. (Preprint)

20. Ziegler V.:
On a family of Thue equations of degree 16,
Mathematics of Computations 79 (2010), no. 272, 2407-2429. (Preprint)

21. Fuchs C., Tichy R. and Ziegler V.:
On quantitative aspects of the unit sum number problem,
Arch. Math. (Basel) 93 (2009), no. 3, 259-268. (Preprint)

22. Aistleitner C., Mayer P., Ziegler V.:
Metric discrepancy theory, functions of bounded variation and GCD sums,
Unif. Distrib. Theory 5 (2010), no. 1, 95-109. (Preprint)

23. Ziegler V.:
Int. J. Number Theory 7 (2011) no.3 1-10. (Preprint)

24. Pintér A. and Ziegler V.:
On Arithmetic Progressions in Recurrences - A new characterization of the Fibonacci sequence,
J. Number Theory 132 (2012) no. 8 1686-1706. (Preprint)

25. Ziegler V.:
On unit power integral bases of $\mathbb Z[\sqrt[4]m]$,
Period. Math. Hungar. 63 (2011) no. 1, 101-112. (Preprint)

26. Thuswaldner J. and Ziegler V.:
On linear combinations of units with bounded coefficients,
Mathematika 57 (2011), no. 2, 247-262. (Preprint)

27. Pethő A. and Ziegler V.:
Acta Math. Hungar. 133 (2011), no. 3, 221-241. (Preprint)

28. Bérczes A. and Ziegler V.:
On Geometric Progressions on Pell Equations and Lucas sequences,
Glasnik Matematički 48 (2013) no. 1, 1-22. (Preprint)

29. Szalay L. and Ziegler V.:
On an $S$-unit variant of Diophantine $m$-tuples,
Publicationes Mathematicae Debrecen 83 (2013) no. 1-2, 97-121. (Preprint)

30. Krenn D., Thuswaldner J. and Ziegler V.:
On linear combinations of units with bounded coefficients and double-base digit expansions,
Monatshefte für Mathematik 171 (2013) no. 3-4, 377-394. (Preprint)

31. Hajdu L. and Ziegler V.:
Distinct unit generated totally complex quartic fields,
Mathematics of Computation 83 (2014) no. 283, 1495-1512. (Preprint)

32. Aistleitner C., Hofer M. and Ziegler V.:
On the uniform distribution modulo 1 of multidimensional $LS$-sequences,
Ann. Mat. Pura Appl. (4) 193 (2014), no. 5, 1329–1344. (Preprint)

33. Luca F. and Ziegler V.:
Multiplicative relations on binary recurrences,
Acta Arithmetica 161 (2013) no. 2, 183-199. (Preprint)

34. Szalay L. and Ziegler V.:
$S$-Diophantine quadruples with two primes congruent 3 modulo 4,
INTEGERS, Electronic Journal of Combinatorial Number Theory 13 (2013) A80. (Preprint)

35. Frei C., Tichy R. and Ziegler V.:
A note on sums of S-integers of bounded norm,
Monatsh. Math. 175 (2014), no. 2, 241–247. (Preprint)

36. Bérczes A. and Ziegler V.:
On Simultaneous Palindromes,
J. Comb. Number Theory 6 (2014) no. 1, (Preprint)

37. Madritsch M. and Ziegler V.:
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. (Preprint)

38. Dombek D., Masáková Z. and Ziegler V.:
On distinct unit generated fields that are totally complex,
J. Number Theory 148 (2015), 311-327. (Preprint)

39. Luca F. and Ziegler V.:
A note on the number of $S$-Diophantine quadruples,
Communications in Mathematics 22 (2014), 49-55. (Preprint)

40. Szalay L. and Ziegler V.:
$S$-Diophantine quadruples with $S=\{2,q\}$,
Int. J. Number Theory 11 (2015), no. 3, 849-868. (Preprint)

41. Hofer M. and Ziegler V.:
On corner avoidance of $\boldsymbol \beta$-adic Halton sequences,
Ann. Mat. Pura Appl. (4) 195 (2016), no. 3, 957–975. (Preprint)

42. Winterhof A., Yala O. and Ziegler V.:
Non-Existence of Some Nearly Perfect Sequences, Near Butson-Hadamard Matrices, and Near Conference Matrices,
to appear. (Preprint)

43. Madritsch M. and Ziegler V.:
On multiplicatively independent bases in cyclotomic number fields,
Acta Math. Hungar. 146 (2015), no. 1, 224–239 (Preprint)

44. Bérczes A., Luca F., Pink I., and Ziegler V.:
Finiteness results for Diophantine triples with repdigit values,
Acta Arith. 172 (2016), no. 2, 133-148. (Preprint)

45. Iacò M.R. and Ziegler V.:
Discrepancy of generalized $LS$-sequences,
Uniform Distribution Theory 12 (2017), no. 2, 37-63. (Preprint)

46. Chim K.C., Pink I. and Ziegler V.:
On a Variant of Pillai’s Problem,
Int. J. Number Theory 13 (2017), no. 7, 1711--1727. (Preprint)

47. Pink I. and Ziegler V.:
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. (Preprint)

48. Krenn D. and Ziegler V.:
Non-Minimality of the Width-$w$ Non-adjacent Form in Conjunction with Trace One $\tau$-adic Digit Expansions and Koblitz Curves in Characteristic Two,
Math. Comp. 87 (2018), no. 310, 821–854.(Preprint)

49. Madritsch M., Surer P. and Ziegler V.:
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. (Preprint).

50. He B., Togbe A. and Ziegler V.:
There is no Diophantine Quintuple,
to appear in the Transactions of the AMS. (Preprint)

51. Chim K.C., Pink I. and Ziegler V.:
On a Variant of Pillai’s Problem II,
J. Number Theory 183 (2018), 269-290. (Preprint)

52. Bérczes A., Luca F., Pink I. and Ziegler V.:
Trinomials with integral $S$-unit coefficients having a quadratic factor,
Indag. Math. (N.S.) 28 (2017), no. 6, 1200-1209(Preprint)

53. Hajdu L., Szikszai M. and Ziegler V.:
On arithmetic progressions in Lucas sequences,
J. Integer Seq. 20 (2017), no. 8, Art. 17.8.6, 18 pp. (Preprint)

54. Chim K.C. and Ziegler V.:
On Diophantine equations involving sums of Fibonacci numbers and powers of $2$,
submitted. (Preprint)

55. Odjoumani J., Togbe A. and Ziegler V.:
On a family of biquadratic fields that do not admit a unit power integral basis,
submitted. (Preprint)

56. Ziegler V.:
Effective results for linear Equations in Members of two Recurrence Sequences
submitted. (Preprint)

57. Ziegler V.:
On the existence of $S$-Diophantine quadruples,
submitted. (Preprint)

58. Szikszai M. and Ziegler V.:
On arithmetic progressions in Lucas sequences - II,
submitted. (Preprint)