Faye, Bernadette; Luca, Florian; Ziegler, Volker On a variant of Pillai’s problem with factorials and \(S\)-units. (English) Zbl 07812010 Ramanujan J. 63, No. 3, 773-802 (2024). MSC: 11D61 11D45 11Y50 PDFBibTeX XMLCite \textit{B. Faye} et al., Ramanujan J. 63, No. 3, 773--802 (2024; Zbl 07812010) Full Text: DOI OA License
Ziegler, Volker Effective results for linear equations in members of two recurrence sequences. (English) Zbl 1457.11024 Acta Arith. 190, No. 2, 139-169 (2019). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B37 11B39 11A67 PDFBibTeX XMLCite \textit{V. Ziegler}, Acta Arith. 190, No. 2, 139--169 (2019; Zbl 1457.11024) Full Text: DOI arXiv
He, Bo; Togbé, Alain; Ziegler, Volker There is no Diophantine quintuple. (English) Zbl 1430.11044 Trans. Am. Math. Soc. 371, No. 9, 6665-6709 (2019). MSC: 11D09 11J86 11Y50 11J68 PDFBibTeX XMLCite \textit{B. He} et al., Trans. Am. Math. Soc. 371, No. 9, 6665--6709 (2019; Zbl 1430.11044) Full Text: DOI arXiv
Madritsch, Manfred G.; Surer, Paul; Ziegler, Volker On multiplicative independent bases for canonical number systems in cyclotomic number fields. (English) Zbl 1427.11115 Elsholtz, Christian (ed.) et al., Number theory – Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy’s 60th birthday. Cham: Springer. 313-332 (2017). MSC: 11R18 11Y40 11A63 PDFBibTeX XMLCite \textit{M. G. Madritsch} et al., in: Number theory -- Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy's 60th birthday. Cham: Springer. 313--332 (2017; Zbl 1427.11115) Full Text: DOI
Bérczes, Attila; Luca, Florian; Pink, István; Ziegler, Volker Trinomials with integral \(S\)-unit coefficients having a quadratic factor. (English) Zbl 1391.11057 Indag. Math., New Ser. 28, No. 6, 1200-1209 (2017). Reviewer: Lajos Hajdu (Debrecen) MSC: 11C08 12D05 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Indag. Math., New Ser. 28, No. 6, 1200--1209 (2017; Zbl 1391.11057) Full Text: DOI
Bérczes, Attila; Luca, Florian; Pink, István; Ziegler, Volker Finiteness results for Diophantine triples with repdigit values. (English) Zbl 1402.11013 Acta Arith. 172, No. 2, 133-148 (2016). MSC: 11A63 11D61 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Acta Arith. 172, No. 2, 133--148 (2016; Zbl 1402.11013) Full Text: DOI arXiv Link
Frei, Christopher; Tichy, Robert; Ziegler, Volker On sums of \(S\)-integers of bounded norm. (English) Zbl 1321.11037 Monatsh. Math. 175, No. 2, 241-247 (2014). Reviewer: István Gaál (Debrecen) MSC: 11D45 11N45 PDFBibTeX XMLCite \textit{C. Frei} et al., Monatsh. Math. 175, No. 2, 241--247 (2014; Zbl 1321.11037) Full Text: DOI arXiv
Pintér, Ákos; Ziegler, Volker On arithmetic progressions in recurrences – a new characterization of the Fibonacci sequence. (English) Zbl 1276.11024 J. Number Theory 132, No. 8, 1686-1706 (2012). Reviewer: Lajos Hajdu (Debrecen) MSC: 11B39 11J87 11B25 PDFBibTeX XMLCite \textit{Á. Pintér} and \textit{V. Ziegler}, J. Number Theory 132, No. 8, 1686--1706 (2012; Zbl 1276.11024) Full Text: DOI arXiv
Ziegler, Volker Thomas’ conjecture over function fields. (English) Zbl 1193.11030 J. Théor. Nombres Bordx. 19, No. 1, 289-309 (2007). Reviewer: Alain S. Togbe (Westville) MSC: 11D59 11D25 11Y50 PDFBibTeX XMLCite \textit{V. Ziegler}, J. Théor. Nombres Bordx. 19, No. 1, 289--309 (2007; Zbl 1193.11030) Full Text: DOI Numdam EuDML