Bell, Jason; Ghioca, Dragos Intersections of orbits of self-maps with subgroups in semiabelian varieties. (English) Zbl 07813489 Bull. Lond. Math. Soc. 56, No. 2, 783-795 (2024). MSC: 14K12 37P55 PDFBibTeX XMLCite \textit{J. Bell} and \textit{D. Ghioca}, Bull. Lond. Math. Soc. 56, No. 2, 783--795 (2024; Zbl 07813489) Full Text: DOI arXiv
Bell, Jason P.; Gunn, Keira; Nguyen, Khoa D.; Saunders, J. C. A general criterion for the Pólya-Carlson dichotomy and application. (English) Zbl 07686404 Trans. Am. Math. Soc. 376, No. 6, 4361-4382 (2023). MSC: 11M41 11D61 11Z05 37P20 13J05 30B10 PDFBibTeX XMLCite \textit{J. P. Bell} et al., Trans. Am. Math. Soc. 376, No. 6, 4361--4382 (2023; Zbl 07686404) Full Text: DOI arXiv
Fuchs, Clemens; Heintze, Sebastian A polynomial variant of diophantine triples in linear recurrences. (English) Zbl 07672191 Period. Math. Hung. 86, No. 1, 289-299 (2023). Reviewer: István Gaál (Debrecen) MSC: 11B37 11D61 PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{S. Heintze}, Period. Math. Hung. 86, No. 1, 289--299 (2023; Zbl 07672191) Full Text: DOI arXiv
Rout, Sudhansu Sekhar The orbit intersection problem in positive characteristic. (English) Zbl 1510.37134 Acta Arith. 206, No. 3, 277-290 (2022). MSC: 37P55 11B37 11D61 PDFBibTeX XMLCite \textit{S. S. Rout}, Acta Arith. 206, No. 3, 277--290 (2022; Zbl 1510.37134) Full Text: DOI arXiv
Fuchs, Clemens; Heintze, Sebastian On the growth of multi-recurrences. (English) Zbl 1514.11021 Arch. Math. 119, No. 5, 489-494 (2022). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11B37 11J87 PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{S. Heintze}, Arch. Math. 119, No. 5, 489--494 (2022; Zbl 1514.11021) Full Text: DOI arXiv
Bell, Jason P. Support of an algebraic series as the range of a recursive sequence. (English) Zbl 1498.11082 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 437-449 (2021). MSC: 11B85 68Q45 PDFBibTeX XMLCite \textit{J. P. Bell}, Springer Proc. Math. Stat. 373, 437--449 (2021; Zbl 1498.11082) Full Text: DOI
Ghioca, Dragos; Saleh, Sina Zariski dense orbits for regular self-maps of tori in positive characteristic. (English) Zbl 1490.14077 New York J. Math. 27, 1274-1304 (2021). Reviewer: David McKinnon (Waterloo) MSC: 14K15 14G05 PDFBibTeX XMLCite \textit{D. Ghioca} and \textit{S. Saleh}, New York J. Math. 27, 1274--1304 (2021; Zbl 1490.14077) Full Text: Link
Ghioca, Dragos; Ostafe, Alina; Saleh, Sina; Shparlinski, Igor E. A sparsity result for the dynamical Mordell-Lang conjecture in positive characteristic. (English) Zbl 1485.11105 Bull. Aust. Math. Soc. 104, No. 3, 381-390 (2021). MSC: 11G25 37P55 11B37 PDFBibTeX XMLCite \textit{D. Ghioca} et al., Bull. Aust. Math. Soc. 104, No. 3, 381--390 (2021; Zbl 1485.11105) Full Text: DOI arXiv
Fuchs, Clemens; Heintze, Sebastian Norm form equations with solutions taking values in a multi-recurrence. (English) Zbl 1476.11068 Acta Arith. 198, No. 4, 427-438 (2021). Reviewer: Günter Lettl (Graz) MSC: 11D57 11B37 11J87 PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{S. Heintze}, Acta Arith. 198, No. 4, 427--438 (2021; Zbl 1476.11068) Full Text: DOI arXiv
Fuchs, Clemens; Heintze, Sebastian Integral zeros of a polynomial with linear recurrences as coefficients. (English) Zbl 1470.11054 Indag. Math., New Ser. 32, No. 3, 691-703 (2021). Reviewer: István Gaál (Debrecen) MSC: 11D61 11B39 12D10 PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{S. Heintze}, Indag. Math., New Ser. 32, No. 3, 691--703 (2021; Zbl 1470.11054) Full Text: DOI arXiv
Corvaja, Pietro; Ghioca, Dragos; Scanlon, Thomas; Zannier, Umberto The dynamical Mordell-Lang conjecture for endomorphisms of semiabelian varieties defined over fields of positive characteristic. (English) Zbl 1465.11150 J. Inst. Math. Jussieu 20, No. 2, 669-698 (2021). Reviewer: Riccardo Pengo (Lyon) MSC: 11G10 37P55 PDFBibTeX XMLCite \textit{P. Corvaja} et al., J. Inst. Math. Jussieu 20, No. 2, 669--698 (2021; Zbl 1465.11150) Full Text: DOI arXiv
Nguyen, Khoa D. A new mean ergodic theorem for tori and recurrences. (English) Zbl 1455.37005 Ergodic Theory Dyn. Syst. 41, No. 2, 570-577 (2021). MSC: 37A30 37A05 37A44 37A46 11D45 PDFBibTeX XMLCite \textit{K. D. Nguyen}, Ergodic Theory Dyn. Syst. 41, No. 2, 570--577 (2021; Zbl 1455.37005) Full Text: DOI
Philippon, Patrice; Rath, Purusottam A note on trace of powers of algebraic numbers. (English) Zbl 1456.11132 J. Number Theory 219, 198-211 (2021). Reviewer: Riccardo Pengo (Lyon) MSC: 11J87 11R06 PDFBibTeX XMLCite \textit{P. Philippon} and \textit{P. Rath}, J. Number Theory 219, 198--211 (2021; Zbl 1456.11132) Full Text: DOI
Conant, Gabriel; Laskowski, Michael C. Weakly minimal groups with a new predicate. (English) Zbl 1485.03093 J. Math. Log. 20, No. 2, Article ID 2050011, 27 p. (2020). MSC: 03C45 03C60 11U09 PDFBibTeX XMLCite \textit{G. Conant} and \textit{M. C. Laskowski}, J. Math. Log. 20, No. 2, Article ID 2050011, 27 p. (2020; Zbl 1485.03093) Full Text: DOI arXiv
Conant, Gabriel Stability and sparsity in sets of natural numbers. (English) Zbl 07055706 Isr. J. Math. 230, No. 1, 471-508 (2019). MSC: 03C45 11U05 11B05 PDFBibTeX XMLCite \textit{G. Conant}, Isr. J. Math. 230, No. 1, 471--508 (2019; Zbl 07055706) Full Text: DOI arXiv Backlinks: MO
Ghioca, Dragos The dynamical Mordell-Lang conjecture in positive characteristic. (English) Zbl 1461.11092 Trans. Am. Math. Soc. 371, No. 2, 1151-1167 (2019). MSC: 11G10 37P55 PDFBibTeX XMLCite \textit{D. Ghioca}, Trans. Am. Math. Soc. 371, No. 2, 1151--1167 (2019; Zbl 1461.11092) Full Text: DOI arXiv
Gómez-Pérez, Domingo; Sha, Min; Tirkel, Andrew On the linear complexity for multidimensional sequences. (English) Zbl 1420.94029 J. Complexity 49, 46-55 (2018). MSC: 94A55 65Y20 40B05 PDFBibTeX XMLCite \textit{D. Gómez-Pérez} et al., J. Complexity 49, 46--55 (2018; Zbl 1420.94029) Full Text: DOI arXiv
Gomez-Perez, Domingo; Gomez, Ana-Isabel; Tirkel, Andrew Arrays composed from the extended rational cycle. (English) Zbl 1404.94151 Adv. Math. Commun. 11, No. 2, 313-327 (2017). MSC: 94B25 11T71 PDFBibTeX XMLCite \textit{D. Gomez-Perez} et al., Adv. Math. Commun. 11, No. 2, 313--327 (2017; Zbl 1404.94151) Full Text: DOI
Derksen, H.; Masser, D. Linear equations over multiplicative groups, recurrences, and mixing. II. (English) Zbl 1314.11070 Indag. Math., New Ser. 26, No. 1, 113-136 (2015). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11S05 11D04 11B37 03D35 PDFBibTeX XMLCite \textit{H. Derksen} and \textit{D. Masser}, Indag. Math., New Ser. 26, No. 1, 113--136 (2015; Zbl 1314.11070) Full Text: DOI
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
Corvaja, Pietro; Noguchi, Junjiro A new unicity theorem and Erdös’ problem for polarized semi-abelian varieties. (English) Zbl 1315.14058 Math. Ann. 353, No. 2, 439-464 (2012). Reviewer: Herbert Lange (Erlangen) MSC: 14K10 14K20 32H30 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{J. Noguchi}, Math. Ann. 353, No. 2, 439--464 (2012; Zbl 1315.14058) Full Text: DOI arXiv
Corvaja, Pietro; Zannier, Umberto Applications of the subspace theorem to certain Diophantine problems. A survey of some recent results. (English) Zbl 1245.11086 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 161-174 (2008). Reviewer: Günter Lettl (Graz) MSC: 11J87 11G35 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{U. Zannier}, Dev. Math. 16, 161--174 (2008; Zbl 1245.11086) Full Text: DOI
Schlickewei, Hans Peter The mathematical work of Wolfgang Schmidt. (English) Zbl 1207.11002 Schlickewei, Hans Peter et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 1-20 (2008). MSC: 11-02 11-03 01A70 PDFBibTeX XMLCite \textit{H. P. Schlickewei}, Dev. Math. 16, 1--20 (2008; Zbl 1207.11002) Full Text: DOI
Fuchs, Clemens; Pethő, Attila Effective bounds for the zeros of linear recurrences in function fields. (English) Zbl 1153.11303 J. Théor. Nombres Bordx. 17, No. 3, 749-766 (2005). MSC: 11B37 11D61 11D88 PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{A. Pethő}, J. Théor. Nombres Bordx. 17, No. 3, 749--766 (2005; Zbl 1153.11303) Full Text: DOI Numdam Numdam EuDML
Zannier, Umberto Diophantine equations with linear recurrences. An overview of some recent progress. (English) Zbl 1162.11330 J. Théor. Nombres Bordx. 17, No. 1, 423-435 (2005). MSC: 11D99 11B37 11D75 11J25 PDFBibTeX XMLCite \textit{U. Zannier}, J. Théor. Nombres Bordx. 17, No. 1, 423--435 (2005; Zbl 1162.11330) Full Text: DOI Numdam EuDML
Zannier, Umberto On the integer solutions of exponential equations in function fields. (English) Zbl 1080.11028 Ann. Inst. Fourier 54, No. 4, 849-874 (2004). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D45 11D61 11D99 PDFBibTeX XMLCite \textit{U. Zannier}, Ann. Inst. Fourier 54, No. 4, 849--874 (2004; Zbl 1080.11028) Full Text: DOI Numdam Numdam EuDML