Evertse, Jan-Hendrik Orders with few rational monogenizations. (English) Zbl 07771577 Acta Arith. 210, 307-335 (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 11R04 11D61 11J87 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Acta Arith. 210, 307--335 (2023; Zbl 07771577) Full Text: DOI arXiv
Evertse, Jan-Hendrik; Győry, Kálmán Effective results and methods for Diophantine equations over finitely generated domains. (English) Zbl 1498.11004 London Mathematical Society Lecture Note Series 475. Cambridge: Cambridge University Press (ISBN 978-1-00-900585-2/pbk; 978-1-00-904210-9/ebook). xxiv, 216 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11Dxx PDFBibTeX XMLCite \textit{J.-H. Evertse} and \textit{K. Győry}, Effective results and methods for Diophantine equations over finitely generated domains. Cambridge: Cambridge University Press (2022; Zbl 1498.11004) Full Text: DOI
Bugeaud, Yann; Evertse, Jan-Hendrik; Győry, Kálmán \(S\)-parts of values of univariate polynomials, binary forms and decomposable forms at integral points. (English) Zbl 1410.11025 Acta Arith. 184, No. 2, 151-185 (2018). MSC: 11D45 11D57 11D59 11J86 11J87 PDFBibTeX XMLCite \textit{Y. Bugeaud} et al., Acta Arith. 184, No. 2, 151--185 (2018; Zbl 1410.11025) Full Text: DOI arXiv
Evertse, Jan-Hendrik; Győry, Kálmán Unit equations in Diophantine number theory. (English) Zbl 1339.11001 Cambridge Studies in Advanced Mathematics 146. Cambridge: Cambridge University Press (ISBN 978-1-107-09760-5/hbk; 978-1-316-16074-9/ebook). xv, 363 p. (2015). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 11-02 11D57 11D75 13P15 PDFBibTeX XMLCite \textit{J.-H. Evertse} and \textit{K. Győry}, Unit equations in Diophantine number theory. Cambridge: Cambridge University Press (2015; Zbl 1339.11001) Full Text: DOI
Evertse, Jan-Hendrik; Győry, Kálmán Effective results for Diophantine equations over finitely generated domains: a survey. (English) Zbl 1367.11039 Pintz, János (ed.) et al., Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22–26, 2011. Berlin: De Gruyter (ISBN 978-3-11-028242-9/ebook; 978-3-11-028237-5/hbk). De Gruyter Proceedings in Mathematics, 63-73 (2014). MSC: 11D61 11J86 11-02 PDFBibTeX XMLCite \textit{J.-H. Evertse} and \textit{K. Győry}, in: Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22--26, 2011. Berlin: De Gruyter. 63--73 (2014; Zbl 1367.11039)
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán Effective results for Diophantine equations over finitely generated domains. (English) Zbl 1312.11019 Acta Arith. 163, No. 1, 71-100 (2014). Reviewer: Volker Ziegler (Salzburg) MSC: 11D41 11D59 11D61 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Acta Arith. 163, No. 1, 71--100 (2014; Zbl 1312.11019) Full Text: DOI arXiv
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán Effective results for hyper- and superelliptic equations over number fields. (English) Zbl 1274.11085 Publ. Math. Debr. 82, No. 3-4, 727-756 (2013). MSC: 11D41 11D61 11J86 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Publ. Math. Debr. 82, No. 3--4, 727--756 (2013; Zbl 1274.11085) Full Text: DOI arXiv
Evertse, Jan-Hendrik; Győry, Kálmán Effective results for unit equations over finitely generated domains. arXiv:1107.5756 Preprint, arXiv:1107.5756 [math.NT] (2011). MSC: 11D61 11J86 BibTeX Cite \textit{J.-H. Evertse} and \textit{K. Győry}, ``Effective results for unit equations over finitely generated domains'', Preprint, arXiv:1107.5756 [math.NT] (2011) Full Text: arXiv OA License
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán Effective results for linear equations in two unknowns from a multiplicative division group. (English) Zbl 1234.11034 Acta Arith. 136, No. 4, 331-349 (2009). MSC: 11D61 11J68 11D57 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Acta Arith. 136, No. 4, 331--349 (2009; Zbl 1234.11034) Full Text: DOI
Evertse, Jan-Hendrik; Zannier, Umberto Linear equations with unknowns from a multiplicative group in a function field. (English) Zbl 1185.11022 Acta Arith. 133, No. 2, 159-170 (2008). Reviewer: Roberto Dvornicich (Pisa) MSC: 11D72 11D45 11D04 PDFBibTeX XMLCite \textit{J.-H. Evertse} and \textit{U. Zannier}, Acta Arith. 133, No. 2, 159--170 (2008; Zbl 1185.11022) Full Text: DOI arXiv
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán Diophantine problems related to discriminants and resultants of binary forms. (English) Zbl 1190.11024 Zannier, Umberto (ed.), Diophantine geometry. Selected papers of a the workshop, Pisa, Italy, April 12–July 22, 2005. Pisa: Edizioni della Normale (ISBN 978-88-7642-206-5/pbk). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) 4, 45-63 (2007). Reviewer: István Gaál (Debrecen) MSC: 11D57 11D72 11D45 11J87 PDFBibTeX XMLCite \textit{A. Bérczes} et al., CRM Ser. (N.S.) 4, 45--63 (2007; Zbl 1190.11024)
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán On the number of pairs of binary forms with given degree and given resultant. (English) Zbl 1152.11015 Acta Arith. 128, No. 1, 19-54 (2007). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D57 11D59 11D72 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Acta Arith. 128, No. 1, 19--54 (2007; Zbl 1152.11015) Full Text: DOI
Evertse, Jan-Hendrik Linear equations with unknowns from a multiplicative group whose solutions lie in a small number of subspaces. (English) Zbl 1086.11019 Indag. Math., New Ser. 15, No. 3, 347-355 (2004). Reviewer: Istvan Gaál (Debrecen) MSC: 11D61 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Indag. Math., New Ser. 15, No. 3, 347--355 (2004; Zbl 1086.11019) Full Text: DOI arXiv
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán On the number of equivalence classes of binary forms of given degree and given discriminant. (English) Zbl 1050.11035 Acta Arith. 113, No. 4, 363-399 (2004). Reviewer: Istvan Gaál (Debrecen) MSC: 11D57 11D72 11E76 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Acta Arith. 113, No. 4, 363--399 (2004; Zbl 1050.11035) Full Text: DOI arXiv Link
Evertse, J.-H.; Moree, P.; Stewart, C. L.; Tijdeman, R. Multivariate Diophantine equations with many solutions. (English) Zbl 1026.11041 Acta Arith. 107, No. 2, 103-125 (2003). Reviewer: I.Gaál (Debrecen) MSC: 11D57 11D61 11D45 PDFBibTeX XMLCite \textit{J. H. Evertse} et al., Acta Arith. 107, No. 2, 103--125 (2003; Zbl 1026.11041) Full Text: DOI arXiv
Evertse, Jan-Hendrik Points on subvarieties of tori. (English) Zbl 1040.11047 Wüstholz, Gisbert (ed.), A panorama in number theory or The view from Baker’s garden. Based on a conference in honor of Alan Baker’s 60th birthday, Zürich, Switzerland, 1999. Cambridge: Cambridge University Press (ISBN 0-521-80799-9/hbk). 214-230 (2002). Reviewer: Michel Waldschmidt (Paris) MSC: 11G35 11D61 11J13 11G50 14G25 PDFBibTeX XMLCite \textit{J.-H. Evertse}, in: A panorama in number theory or The view from Baker's garden. Based on a conference in honor of Alan Baker's 60th birthday, Zurich, Switzerland, 1999. Cambridge: Cambridge University Press. 214--230 (2002; Zbl 1040.11047)
Evertse, J.-H.; Schlickewei, H. P.; Schmidt, W. M. Linear equations in variables which lie in a multiplicative group. (English) Zbl 1026.11038 Ann. Math. (2) 155, No. 3, 807-836 (2002). Reviewer: Roberto Dvornicich (Pisa) MSC: 11D45 11D04 PDFBibTeX XMLCite \textit{J. H. Evertse} et al., Ann. Math. (2) 155, No. 3, 807--836 (2002; Zbl 1026.11038) Full Text: DOI arXiv
Evertse, Jan-Hendrik The number of solutions of linear equations in roots of unity. (English) Zbl 0974.11012 Acta Arith. 89, No. 1, 45-51 (1999). Reviewer: Roberto Dvornicich (Pisa) MSC: 11D45 11D04 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Acta Arith. 89, No. 1, 45--51 (1999; Zbl 0974.11012) Full Text: DOI EuDML
Evertse, Jan-Hendrik; Schlickewei, Hans Peter The absolute subspace theorem and linear equations with unknowns from a multiplicative group. (English) Zbl 0953.11025 Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 121-142 (1999). Reviewer: A.J.van der Poorten (North Ryde) MSC: 11J68 11D61 11D04 PDFBibTeX XMLCite \textit{J.-H. Evertse} and \textit{H. P. Schlickewei}, in: Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30--July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 121--142 (1999; Zbl 0953.11025)
Evertse, J.-H. The number of solutions of the Thue-Mahler equation. (English) Zbl 0861.11021 J. Reine Angew. Math. 482, 121-149 (1997). Reviewer: J.-H.Evertse (Leiden) MSC: 11D41 11D61 11D75 PDFBibTeX XMLCite \textit{J. H. Evertse}, J. Reine Angew. Math. 482, 121--149 (1997; Zbl 0861.11021) Full Text: DOI Crelle EuDML
Evertse, J.-H.; Győry, K. The number of families of solutions of decomposable form equations. (English) Zbl 0886.11015 Acta Arith. 80, No. 4, 367-394 (1997). Reviewer: I.Gaál (Debrecen) MSC: 11D57 11D75 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{K. Győry}, Acta Arith. 80, No. 4, 367--394 (1997; Zbl 0886.11015) Full Text: DOI EuDML Link
Evertse, J.-H.; Tijdeman, R. Singular differences of powers of \(2 \times 2\)-matrices. (English) Zbl 0869.11023 Compos. Math. 104, No. 2, 199-216 (1996). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11C20 11D61 15B36 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{R. Tijdeman}, Compos. Math. 104, No. 2, 199--216 (1996; Zbl 0869.11023) Full Text: Numdam EuDML
Evertse, Jan-Hendrik An improvement of the quantitative subspace theorem. (English) Zbl 0856.11030 Compos. Math. 101, No. 3, 225-311 (1996). Reviewer: A.J.van der Poorten (North Ryde) MSC: 11H46 11J13 11R27 11D57 11J25 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Compos. Math. 101, No. 3, 225--311 (1996; Zbl 0856.11030) Full Text: Numdam EuDML
Evertse, Jan-Hendrik The number of solutions of decomposable form equations. (English) Zbl 0851.11019 Invent. Math. 122, No. 3, 559-601 (1995). Reviewer: I.Gaál (Debrecen) MSC: 11D57 11D75 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Invent. Math. 122, No. 3, 559--601 (1995; Zbl 0851.11019) Full Text: DOI EuDML
Evertse, Jan-Hendrik Estimates for reduced binary forms. (English) Zbl 0763.11012 J. Reine Angew. Math. 434, 159-190 (1993). Reviewer: J.-H.Evertse (Leiden) MSC: 11D57 11D75 11E76 PDFBibTeX XMLCite \textit{J.-H. Evertse}, J. Reine Angew. Math. 434, 159--190 (1993; Zbl 0763.11012) Full Text: DOI Crelle EuDML
Evertse, Jan-Hendrik The Subspace Theorem of W. M. Schmidt. (English) Zbl 0812.11039 Edixhoven, Bas (ed.) et al., Diophantine approximation and abelian varieties. Introductory lectures. Papers of the conference, held in Soesterberg, Netherlands, April 12-16, 1992. Berlin: Springer-Verlag. Lect. Notes Math. 1566, 31-50 (1993). Reviewer: W.Kleinert (Berlin) MSC: 11J25 11D75 11D72 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Lect. Notes Math. 1566, 31--50 (1993; Zbl 0812.11039)
Evertse, J. H.; Györy, K. Effective finiteness theorems for decomposable forms of given discriminant. (English) Zbl 0746.11019 Acta Arith. 60, No. 3, 233-277 (1992). Reviewer: István Gaál (Debrecen) MSC: 11D57 11D75 11E76 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{K. Györy}, Acta Arith. 60, No. 3, 233--277 (1992; Zbl 0746.11019) Full Text: DOI EuDML
Evertse, J.-H.; Györy, K. Discriminants of decomposable forms. (English) Zbl 0767.11017 Analytic and probabilistic methods in number theory. Proc. Int. Conf. in Honour of J. Kubilius, Palanga/Lith. 1991, New Trends Probab. Stat. 2, 39-56 (1992). Reviewer: István Gaál (Debrecen) MSC: 11D57 11D75 11E76 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{K. Györy}, New Trends Probab. Stat. 2, 39--56 (1992; Zbl 0767.11017)
Evertse, J. H.; Györy, K. Some results on Thue equations and Thue-Mahler equations. (English) Zbl 0733.11008 Computational number theory, Proc. Colloq., Debrecen/Hung. 1989, 295-302 (1991). Reviewer: I.Gaál (Debrecen) MSC: 11D41 11D57 11D75 PDFBibTeX XML
Brindza, B.; Evertse, J. H.; Györy, K. Bounds for the solutions of some diophantine equations in terms of discriminants. (English) Zbl 0746.11018 J. Aust. Math. Soc., Ser. A 51, No. 1, 8-26 (1991). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11D41 11D61 PDFBibTeX XMLCite \textit{B. Brindza} et al., J. Aust. Math. Soc., Ser. A 51, No. 1, 8--26 (1991; Zbl 0746.11018)
Evertse, J.-H.; Györy, K. Thue inequalities with a small number of solutions. (English) Zbl 0767.11018 The mathematical heritage of C. F. Gauss, Collect. Pap. Mem. C. F. Gauss, 204-224 (1991). Reviewer: I.Gaál (Debrecen) MSC: 11D57 11D75 11E76 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{K. Györy}, in: The mathematical heritage of C. F. Gauss. A collection of papers in memory of C. F. Gauss. London: World Scientific. 204--224 (1991; Zbl 0767.11018)
Evertse, J. H.; Györy, K. Effective finiteness results for binary forms with given discriminant. (English) Zbl 0746.11020 Compos. Math. 79, No. 2, 169-204 (1991). Reviewer: B.Richter (Berlin) MSC: 11D57 11E76 11D75 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{K. Györy}, Compos. Math. 79, No. 2, 169--204 (1991; Zbl 0746.11020) Full Text: Numdam EuDML
Evertse, J.-H.; Györy, K.; Stewart, C. L.; Tijdeman, R. S-unit equations and their applications. (English) Zbl 0658.10023 New advances in transcendence theory, Proc. Symp., Durham/UK 1986, 110-174 (1988). Reviewer: I.Gaál MSC: 11D57 11-02 11D61 PDFBibTeX XML
Evertse, J. H.; Györy, K. On the number of polynomials and integral elements of given discriminant. (English) Zbl 0653.13005 Acta Math. Hung. 51, No. 3-4, 341-362 (1988). Reviewer: H.Yokoi MSC: 13B25 13G05 13F20 11D99 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{K. Györy}, Acta Math. Hung. 51, No. 3--4, 341--362 (1988; Zbl 0653.13005) Full Text: DOI
Evertse, J.-H.; Györy, K. On the numbers of solutions of weighted unit equations. (English) Zbl 0644.10015 Compos. Math. 66, No. 3, 329-354 (1988). Reviewer: I.Gaál MSC: 11D57 11D75 11D61 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{K. Györy}, Compos. Math. 66, No. 3, 329--354 (1988; Zbl 0644.10015) Full Text: Numdam EuDML
Evertse, J.-H.; Györy, K.; Shorey, T. N.; Tijdeman, R. Equal values of binary forms at integral points. (English) Zbl 0636.10014 Acta Arith. 48, 379-396 (1987). Reviewer: Attila Pethő (Debrecen) MSC: 11D45 11D59 PDFBibTeX XMLCite \textit{J. H. Evertse} et al., Acta Arith. 48, 379--396 (1987; Zbl 0636.10014) Full Text: DOI EuDML
Evertse, Jan-Hendrik On equations in two S-units over function fields of characteristic 0. (English) Zbl 0632.10015 Acta Arith. 47, 233-253 (1986). Reviewer: K.Györy MSC: 11D41 11R58 11D57 11R27 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Acta Arith. 47, 233--253 (1986; Zbl 0632.10015) Full Text: DOI EuDML
Evertse, J. H.; Györy, K. On unit equations and decomposable form equations. (English) Zbl 0552.10010 J. Reine Angew. Math. 358, 6-19 (1985). MSC: 11D99 11D57 11D61 11D41 PDFBibTeX XMLCite \textit{J. H. Evertse} and \textit{K. Györy}, J. Reine Angew. Math. 358, 6--19 (1985; Zbl 0552.10010) Full Text: EuDML
Evertse, Jan-Hendrik On sums of S-units and linear recurrences. (English) Zbl 0547.10008 Compos. Math. 53, 225-244 (1984). Reviewer: F.Beukers MSC: 11B37 11D61 11J81 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Compos. Math. 53, 225--244 (1984; Zbl 0547.10008) Full Text: Numdam EuDML
Evertse, J. H. Erratum: On the representation of integers by binary cubic forms of positive discriminant. (English) Zbl 0526.10012 Invent. Math. 75, 379 (1984). MSC: 11D25 11E76 11D85 11D75 PDFBibTeX XMLCite \textit{J. H. Evertse}, Invent. Math. 75, 379 (1984; Zbl 0526.10012) Full Text: DOI EuDML
Evertse, J.-H. On equations in S-units and the Thue-Mahler equation. (English) Zbl 0521.10015 Invent. Math. 75, 561-584 (1984). MSC: 11D57 11D61 11R27 11D88 PDFBibTeX XMLCite \textit{J. H. Evertse}, Invent. Math. 75, 561--584 (1984; Zbl 0521.10015) Full Text: DOI EuDML
Evertse, J. H. Upper bounds for the numbers of solutions of diophantine equations. (English) Zbl 0517.10016 Mathematical Centre Tracts, 168. Amsterdam: Mathematisch Centrum. v, 125 p. Dfl. 16.50 (1983). Reviewer: A. Pethő MSC: 11D45 11D59 11D25 11D61 11D75 11R27 11-02 PDFBibTeX XML
Evertse, J.-H. On the representation of integers by binary cubic forms of positive discriminant. (English) Zbl 0494.10009 Invent. Math. 73, 117-138 (1983). MSC: 11D25 11E76 11D75 11D85 PDFBibTeX XMLCite \textit{J. H. Evertse}, Invent. Math. 73, 117--138 (1983; Zbl 0494.10009) Full Text: DOI EuDML
Evertse, Jan-Hendrik On the equation \(ax^n-by^n=c\). (English) Zbl 0498.10014 Compos. Math. 47, 289-315 (1982). Reviewer: Bengt Stolt (Stockholm) MSC: 11D41 11D45 PDFBibTeX XMLCite \textit{J.-H. Evertse}, Compos. Math. 47, 289--315 (1982; Zbl 0498.10014) Full Text: Numdam EuDML