Edit Profile (opens in new tab) Győry, Kálmán Co-Author Distance Author ID: gyory.kalman Published as: Györy, K.; Győry, Kálmán; Győry, K.; Györy, Kálmán; Györy, Kalman; Győry, K more...less Homepage: https://www.ae-info.org/ae/Member/Gy%C5%91ry_K%C3%A1lm%C3%A1n External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef Videos: carmin.tv Documents Indexed: 188 Publications since 1963, including 4 Books and 2 Additional arXiv Preprints 7 Contributions as Editor Reviewing Activity: 3 Reviews Biographic References: 1 Publication Co-Authors: 62 Co-Authors with 115 Joint Publications 1,867 Co-Co-Authors all top 5 Co-Authors 77 single-authored 39 Evertse, Jan-Hendrik 15 Pintér, Ákos 13 Bérczes, Attila 13 Hajdu, Lajos 13 Tijdeman, Robert 7 Pethő, Attila 7 Sárközy, András 6 Bugeaud, Yann 6 Stewart, Cameron L. 4 Brindza, Béla 4 Gaál, István 4 Schinzel, Andrzej 3 Bennett, Michael A. 3 Everest, Graham Robert 3 Mignotte, Maurice 3 Papp, Z. Z. 3 Shorey, Tarlok Nath 3 Voorhoeve, Marc 2 Bazsó, András 2 Bruin, Nils 2 Dujella, Andrej 2 Iwaniec, Henryk 2 Mello, Jorge 2 Ostafe, Alina 2 Sha, Min 2 Urbanowicz, Jerzy 1 Bertók, Csanád 1 Bhargava, Manjul 1 Bilu, Yuri F. 1 Biró, András 1 Buchmann, Johannes A. 1 Daróczy, Zoltán 1 Erdős, Pál 1 Harcos, Gergely 1 Kanemitsu, Shigeru 1 Kiss, Péter 1 Kovács, Béla 1 Kovács, Tünde 1 Le Fourn, Samuel 1 Lovász, László 1 Michaud-Jacobs, Philippe 1 Papp, Zoltan 1 Péter, Gyöngyvér 1 Pethö, Árpad 1 Pink, István 1 Pintz, Janos 1 Pontreau, Corentin 1 Remete, László 1 Riman, Janos 1 Röttger, Christian 1 Ru, Min 1 Saradha, N. 1 Simonovits, Miklós 1 Smyth, Christopher J. 1 Sós, Vera Turán 1 Swaminathan, Ashvin Anand 1 Szabados, Jozsef 1 Szalay, László 1 Tengely, Szabolcs 1 Thuswaldner, Jörg Maximilian 1 Tzanakis, Nikos 1 Yu, Kunrui all top 5 Serials 38 Acta Arithmetica 33 Publicationes Mathematicae Debrecen 7 Compositio Mathematica 6 Matematikai Lapok 5 Journal für die Reine und Angewandte Mathematik 5 Acta Mathematica Hungarica 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Indagationes Mathematicae. New Series 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 Journal of Number Theory 3 RIMS Kokyuroku 2 Periodica Mathematica Hungarica 2 Acta Mathematica 2 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 2 Archiv der Mathematik 2 Colloquium Mathematicum 2 Inventiones Mathematicae 2 Monatshefte für Mathematik 2 Studia Scientiarum Mathematicarum Hungarica 2 Mathematica Pannonica 2 Colloquia Mathematica Societatis János Bolyai 1 Lithuanian Mathematical Journal 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Functiones et Approximatio. Commentarii Mathematici 1 Indagationes Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Mathematica Japonica 1 Proceedings of the London Mathematical Society. Third Series 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Forum Mathematicum 1 L’Enseignement Mathématique. 2e Série 1 Journal of the Australian Mathematical Society. Series A 1 Grazer Mathematische Berichte 1 Journal of Mathematical Sciences (New York) 1 Documenta Mathematica 1 Acta Academiae Paedagogicae Agriensis. Nova Series. Sectio Matematicae 1 Journal of Integer Sequences 1 Integers 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Cambridge Studies in Advanced Mathematics 1 London Mathematical Society Lecture Note Series 1 Developments in Mathematics 1 New Mathematical Monographs 1 De Gruyter Proceedings in Mathematics all top 5 Fields 186 Number theory (11-XX) 10 Combinatorics (05-XX) 7 General and overarching topics; collections (00-XX) 6 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 141 Publications have been cited 997 times in 481 Documents Cited by ▼ Year ▼ Unit equations in Diophantine number theory. Zbl 1339.11001 Evertse, Jan-Hendrik; Győry, Kálmán 58 2015 Bounds for the solutions of Thue-Mahler equations and norm form equations. Zbl 0861.11024 Bugeaud, Yann; Györy, Kálmán 35 1996 Sur les polynômes à coefficients entiers et de discriminant donne. III. Zbl 0354.10041 Györy, K. 32 1976 Discriminant equations in Diophantine number theory. Zbl 1361.11002 Evertse, Jan-Hendrik; Győry, Kálmán 29 2017 Bounds for the solutions of \(S\)-unit equations and decomposable form equations. Zbl 1163.11026 Győry, Kálmán; Yu, Kunrui 28 2006 On the number of solutions of linear equations in units of an algebraic number field. Zbl 0437.12004 Györy, K. 25 1979 Powers from products of consecutive terms in arithmetic progression. Zbl 1178.11033 Bennett, M. A.; Bruin, N.; Győry, K.; Hajdu, L. 24 2006 On S-unit equations in two unknowns. Zbl 0662.10012 Evertse, J.-H.; Györy, K.; Stewart, C. L.; Tijdeman, R. 23 1988 Index form equations in sextic fields: a hard computation. Zbl 1064.11084 Bilu, Yuri; Gaál, István; Győry, Kálmán 22 2004 Index form equations in quintic fields. Zbl 0930.11091 Gaál, István; Győry, Kálmán 21 1999 Bounds for the solutions of unit equations. Zbl 0861.11023 Bugeaud, Yann; Györy, Kálmán 21 1996 On the Diophantine equation \(1^k+ 2^k+\cdots+ x^k= y^n\). Zbl 1066.11013 Bennett, Michael A.; Győry, Kálmán; Pintér, Ákos 21 2004 S-unit equations and their applications. Zbl 0658.10023 Evertse, J.-H.; Györy, K.; Stewart, C. L.; Tijdeman, R. 21 1988 Sur les polynômes à coefficients entiers et de discriminant donné. Zbl 0269.12001 Győry, K. 21 1973 Perfect powers from products of consecutive terms in arithmetic progression. Zbl 1194.11043 Győry, K.; Hajdu, L.; Pintér, Á. 19 2009 Effective finiteness results for binary forms with given discriminant. Zbl 0746.11020 Evertse, J. H.; Györy, K. 16 1991 On the diophantine equation \({n\choose k}=x^ \ell\). Zbl 0871.11022 Györy, K. 16 1997 Effective results for hyper- and superelliptic equations over number fields. Zbl 1274.11085 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 14 2013 Bounds for the solutions of norm form, discriminant form and index form equations in finitely generated integral domains. Zbl 0528.10014 Győry, K. 14 1983 On the numbers of solutions of weighted unit equations. Zbl 0644.10015 Evertse, J.-H.; Györy, K. 13 1988 On the equation \(1^k+2^k+\ldots+x^k=y^n\). Zbl 1026.11042 Győry, K.; Pintér, Á. 13 2003 Binomial Thue equations and polynomial powers. Zbl 1126.11018 Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á. 13 2006 On the Diophantine equation \(n(n+d) \cdots (n+(k-1)d)= by^l\). Zbl 1115.11020 Győry, K.; Hajdu, L.; Saradha, N. 12 2005 On the diophantine equation \(n(n+1)\dots (n+k-1)=bx^\ell\). Zbl 0896.11012 Győry, K. 12 1998 Sur les polynômes à coefficients entiers et de discriminant donne. II. Zbl 0303.12001 Györy, K. 12 1974 On the equation \(1^k+2^k+\dots +x^k=y^z\). Zbl 0365.10014 Györy, K.; Tijdeman, R.; Voorhoeve, M. 12 1980 On discriminants and indices of integers of an algebraic number field. Zbl 0446.12006 Györy, Kalman 11 1981 Multiply monogenic orders. Zbl 1319.11070 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 10 2013 On unit equations and decomposable form equations. Zbl 0552.10010 Evertse, J. H.; Györy, K. 10 1985 Finiteness criteria for decomposable form equations. Zbl 0595.10013 Evertse, J.-H.; Györy, K. 10 1988 On the \(abc\) conjecture in algebraic number fields. Zbl 1188.11011 Győry, K 10 2008 On polynomials with integer coefficients and given discriminant. IV. Zbl 0405.12003 Györy, K. 10 1978 Discriminant form and index form equations. Zbl 0962.11020 Győry, Kálmán 9 2000 On the Diophantine equation \(1^k+2^k+\dots +x^k+R(x)=y^2\). Zbl 0426.10019 Voorhoeve, M.; Györy, K.; Tijdeman, R. 9 1979 Résultats effectifs sur la représentation des entiers par des formes décomposables. Zbl 0455.10011 Győry, Kálmán 9 1980 Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely domains. Zbl 0519.13008 Györy, K. 9 1984 Irreducibility criteria of Schur-type and Pólya-type. Zbl 1232.11112 Győry, K.; Hajdu, L.; Tijdeman, R. 9 2011 On polynomials with integer coefficients and given discriminant. V: \(p\)-adic generalizations. Zbl 0402.10053 Györy, K. 9 1978 Effective results for unit equations over finitely generated integral domains. Zbl 1332.11040 Evertse, Jan-Hendrik; Győry, Kálmán 9 2013 Effective estimates for the integer solutions of norm form and discriminant form equations. Zbl 0394.10010 Györy, K.; Papp, Z. Z. 9 1978 On the number of families of solutions of systems of decomposable form equations. Zbl 0792.11004 Györy, K. 8 1993 On the irreducibility of neighbouring polynomials. Zbl 0814.11050 Györy, K. 8 1994 On the number of prime factors of integers of the form \(ab+1\). Zbl 0857.11047 Györy, K.; Sárközy, A.; Stewart, C. L. 8 1996 On the solutions of linear Diophantine equations in algebraic integers of bounded norm. Zbl 0442.10010 Györy, K. 8 1980 Effective results for Diophantine equations over finitely generated domains. Zbl 1312.11019 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 8 2014 Equal values of standard counting polynomials. Zbl 1291.11068 Győry, Kálmán; Kovács, Tünde; Péter, Gyöngyvér; Pintér, Ákos 8 2014 Thue inequalities with a small number of primitive solutions. Zbl 0980.11022 Győry, K. 7 2001 On power values of pyramidal numbers. I. Zbl 1294.11031 Dujella, Andrej; Győry, Kálmán; Pintér, Ákos 7 2012 Some recent applications of \(S\)-unit equations. Zbl 0792.11005 Györy, Kálmán 6 1992 The number of families of solutions of decomposable form equations. Zbl 0886.11015 Evertse, J.-H.; Győry, K. 6 1997 On some new properties of functions \(\sigma(n)\), \(\varphi(n)\), \(d(n)\) and \(\nu(n)\). Zbl 0453.10004 Erdős, Pál; Győry, Kálmán; Papp, Zoltán 6 1980 Lower bounds for resultants. I. Zbl 0780.11016 Evertse, J. H.; Györy, K. 6 1993 Number systems over general orders. Zbl 1437.11012 Evertse, J. H.; Győry, K.; Pethő, A.; Thuswaldner, J. M. 6 2019 Polynomials and binary forms with given discriminant. Zbl 1121.11073 Győry, Kálmán 6 2006 On the representation of integers by decomposable forms in several variables. Zbl 0477.10022 Györy, K. 5 1981 Integer solutions of a sequence of decomposable form inequalities. Zbl 0918.11022 Győry, K.; Ru, Min 5 1998 Effective results for linear equations in two unknowns from a multiplicative division group. Zbl 1234.11034 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 5 2009 \(S\)-parts of values of univariate polynomials, binary forms and decomposable forms at integral points. Zbl 1410.11025 Bugeaud, Yann; Evertse, Jan-Hendrik; Győry, Kálmán 5 2018 Norm form equations and explicit lower bounds for linear forms with algebraic coefficients. Zbl 0518.10020 Györy, K.; Papp, Z. Z. 5 1983 Sur l’irreductibilite d’une classe des polynômes. II. Zbl 0271.12102 Györy, K. 5 1973 Sur l’irréductibilité d’une classe des polynômes. I. Zbl 0251.12104 Györy, K. 5 1971 On prime factors of sums of integers. I. Zbl 0602.10031 Györy, K.; Stewart, C. L.; Tijdeman, R. 4 1986 Correction to: On the diophantine equation \(1^ k+2^ k+\dots +x^ k+R(x)=y^ z\). Zbl 0632.10017 Voorhoeve, M.; Györy, K.; Tijdeman, R. 4 1987 Thue-Mahler equations with a small number of solutions. Zbl 0675.10009 Evertse, J. H.; Györy, K. 4 1989 Some applications of decomposable form equations to resultant equations. Zbl 0820.11018 Györy, K. 4 1993 Thue inequalities with a small number of solutions. Zbl 0767.11018 Evertse, J.-H.; Györy, K. 4 1991 Solving Diophantine equations by Baker’s theory. Zbl 1074.11021 Győry, Kálmán 4 2002 Power values of polynomials and binomial Thue-Mahler equations. Zbl 1064.11025 Győry, K.; Pink, I.; Pintér, A. 4 2004 On Lucas and Lehmer sequences and their applications to Diophantine equations. Zbl 0487.10010 Györy, K.; Kiss, P.; Schinzel, Andrzej 4 1981 On discriminant form and index form equations. Zbl 0434.10014 Györy, K.; Papp, Z. Z. 4 1977 On certain graphs composed of algebraic integers of a number field and their applications. I. Zbl 0466.05047 Györy, K. 4 1980 Bounds for the solutions of decomposable form equations. Zbl 0902.11015 Győry, Kálmán 4 1998 Effective results for points on certain subvarieties of tori. Zbl 1177.11054 Bérczes, Attila; Győry, Kálmán; Evertse, Jan-Hendrik; Pontreau, Corentin 4 2009 On certain arithmetic graphs and their applications to diophantine problems. Zbl 1226.11046 Győry, Kálmán 4 2008 On the resolution of equations \(Ax^n - By^n = C\) in integers \(x,y\) and \(n\geq 3\). II. Zbl 1218.11036 Bazsó, András; Bérczes, Attila; Győry, Kálmán; Pintér, Ákos 4 2010 Explicit upper bounds for the solutions of some diophantine equations. Zbl 0402.10018 Györy, K. 4 1980 On the irreducibility of a class of polynomials. III. Zbl 0509.12001 Györy, K. 4 1982 On arithmetic graphs associated with integral domains. Zbl 0727.11039 Györy, K. 4 1990 Binomial Thue equations, ternary equations and power values of polynomials. Zbl 1354.11027 Győry, K.; Pintér, Á. 3 2012 On the number of pairs of polynomials with given resultant or given semi- resultant. Zbl 0798.11043 Györy, K. 3 1993 On a conjecture of Posner and Rumsey. Zbl 0813.11061 Györy, K.; Schinzel, A. 3 1994 On additive and multiplicative decompositions of sets of integers with restricted prime factors. I: Smooth numbers. Zbl 1470.11258 Győry, K.; Hajdu, L.; Sárközy, A. 3 2021 On some arithmetical properties of weighted sums of S-units. Zbl 0738.11034 Györy, K.; Mignotte, M.; Shorey, T. N. 3 1990 Bounds for the solutions of some diophantine equations in terms of discriminants. Zbl 0746.11018 Brindza, B.; Evertse, J. H.; Györy, K. 3 1991 On the irreducibility of a class of polynomials. IV. Zbl 0772.11042 Györy, K. 3 1992 On the number of primitive solutions of Thue equations and Thue inequalities. Zbl 1065.11016 Győry, K. 3 2002 Almost perfect powers in products of consecutive integers. Zbl 1096.11014 Győry, K.; Pintér, Á. 3 2005 On the number of equivalence classes of binary forms of given degree and given discriminant. Zbl 1050.11035 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 3 2004 Corps de nombres algébriques d’anneau d’entiers monogene. Zbl 0433.12001 Györy, Kalman 3 1980 Arithmetic progressions consisting of unlike powers. Zbl 1142.11018 Bruin, N.; Győry, K.; Hajdu, L.; Tengely, Sz. 3 2006 On the resolution of equations \(Ax^n-By^n=C\) in integers \(x,y\) and \(n \geq 3\). I. Zbl 1127.11024 Győry, K.; Pintér, Á. 3 2007 Die Cauchysche Funktionalgleichung über diskrete Mengen. Zbl 0166.41403 Daróczy, Z.; Györy, K. 3 1966 On certain graphs associated with an integral domain and their applications to diophantine problems. Zbl 0522.10013 Györy, K. 3 1982 Représentation des nombres entiers par des formes binaires. Zbl 0389.10018 Györy, K. 3 1977 Sur une classe des corps de nombres algébriques et ses applications. Zbl 0336.12005 Györy, K. 3 1975 \(S\)-unit equations and Masser’s ABC conjecture in algebraic number fields. Zbl 1513.11103 Győry, Kálmán 2 2022 Effective results and methods for Diophantine equations over finitely generated domains. Zbl 1498.11004 Evertse, Jan-Hendrik; Győry, Kálmán 2 2022 On additive and multiplicative decompositions of sets of integers composed from a given set of primes. I: Additive decompositions. Zbl 1491.11089 Győry, K.; Hajdu, L.; Sárközy, A. 2 2022 Representation of finite graphs as difference graphs of \(S\)-units. I. Zbl 1297.05168 Győry, K.; Hajdu, L.; Tijdeman, R. 2 2014 On prime factors of integers of the form \((ab+1)(bc+1)(ca+1)\). Zbl 0869.11071 Györy, K.; Sárközy, A. 2 1997 Explicit bounds for the solutions of superelliptic equations over number fields. Zbl 07963414 Bérczes, Attila; Bugeaud, Yann; Győry, Kálmán; Mello, Jorge; Ostafe, Alina; Sha, Min 1 2025 Hermite equivalence of polynomials. Zbl 1534.11034 Bhargava, Manjul; Evertse, Jan-Hendrik; Győry, Kálmán; Remete, László; Swaminathan, Ashvin A. 1 2023 \(S\)-unit equations and Masser’s ABC conjecture in algebraic number fields. Zbl 1513.11103 Győry, Kálmán 2 2022 Effective results and methods for Diophantine equations over finitely generated domains. Zbl 1498.11004 Evertse, Jan-Hendrik; Győry, Kálmán 2 2022 On additive and multiplicative decompositions of sets of integers composed from a given set of primes. I: Additive decompositions. Zbl 1491.11089 Győry, K.; Hajdu, L.; Sárközy, A. 2 2022 On additive and multiplicative decompositions of sets of integers with restricted prime factors. I: Smooth numbers. Zbl 1470.11258 Győry, K.; Hajdu, L.; Sárközy, A. 3 2021 On additive and multiplicative decompositions of sets of integers with restricted prime factors. II: Smooth numbers and generalizations. Zbl 1481.11100 Győry, K.; Hajdu, L.; Sárközy, A. 2 2021 Number systems over general orders. Zbl 1437.11012 Evertse, J. H.; Győry, K.; Pethő, A.; Thuswaldner, J. M. 6 2019 Bounds for the solutions of \(S\)-unit equations and decomposable form equations. II. Zbl 1438.11084 Győry, Kálmán 2 2019 \(S\)-parts of values of univariate polynomials, binary forms and decomposable forms at integral points. Zbl 1410.11025 Bugeaud, Yann; Evertse, Jan-Hendrik; Győry, Kálmán 5 2018 Discriminant equations in Diophantine number theory. Zbl 1361.11002 Evertse, Jan-Hendrik; Győry, Kálmán 29 2017 Representation of finite graphs as difference graphs of \(S\)-units. II. Zbl 1399.05102 Győry, K.; Hajdu, L.; Tijdeman, R. 1 2016 Unit equations in Diophantine number theory. Zbl 1339.11001 Evertse, Jan-Hendrik; Győry, Kálmán 58 2015 Effective results for Diophantine equations over finitely generated domains. Zbl 1312.11019 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 8 2014 Equal values of standard counting polynomials. Zbl 1291.11068 Győry, Kálmán; Kovács, Tünde; Péter, Gyöngyvér; Pintér, Ákos 8 2014 Representation of finite graphs as difference graphs of \(S\)-units. I. Zbl 1297.05168 Győry, K.; Hajdu, L.; Tijdeman, R. 2 2014 Effective results for hyper- and superelliptic equations over number fields. Zbl 1274.11085 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 14 2013 Multiply monogenic orders. Zbl 1319.11070 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 10 2013 Effective results for unit equations over finitely generated integral domains. Zbl 1332.11040 Evertse, Jan-Hendrik; Győry, Kálmán 9 2013 On power values of pyramidal numbers. I. Zbl 1294.11031 Dujella, Andrej; Győry, Kálmán; Pintér, Ákos 7 2012 Binomial Thue equations, ternary equations and power values of polynomials. Zbl 1354.11027 Győry, K.; Pintér, Á. 3 2012 Irreducibility criteria of Schur-type and Pólya-type. Zbl 1232.11112 Győry, K.; Hajdu, L.; Tijdeman, R. 9 2011 On the resolution of equations \(Ax^n - By^n = C\) in integers \(x,y\) and \(n\geq 3\). II. Zbl 1218.11036 Bazsó, András; Bérczes, Attila; Győry, Kálmán; Pintér, Ákos 4 2010 The divisibility of \(a^{n} - b^{n}\) by powers of \(n\). Zbl 1201.11008 Győry, Kálmán; Smyth, Chris 2 2010 Perfect powers from products of consecutive terms in arithmetic progression. Zbl 1194.11043 Győry, K.; Hajdu, L.; Pintér, Á. 19 2009 Effective results for linear equations in two unknowns from a multiplicative division group. Zbl 1234.11034 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 5 2009 Effective results for points on certain subvarieties of tori. Zbl 1177.11054 Bérczes, Attila; Győry, Kálmán; Evertse, Jan-Hendrik; Pontreau, Corentin 4 2009 On the \(abc\) conjecture in algebraic number fields. Zbl 1188.11011 Győry, K 10 2008 On certain arithmetic graphs and their applications to diophantine problems. Zbl 1226.11046 Győry, Kálmán 4 2008 Polynomial powers and a common generalization of binomial Thue-Mahler equations and \(S\)-unit equations. Zbl 1238.11042 Györy, K.; Pintér, Á. 1 2008 On the resolution of equations \(Ax^n-By^n=C\) in integers \(x,y\) and \(n \geq 3\). I. Zbl 1127.11024 Győry, K.; Pintér, Á. 3 2007 Diophantine problems related to discriminants and resultants of binary forms. Zbl 1190.11024 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 1 2007 Bounds for the solutions of \(S\)-unit equations and decomposable form equations. Zbl 1163.11026 Győry, Kálmán; Yu, Kunrui 28 2006 Powers from products of consecutive terms in arithmetic progression. Zbl 1178.11033 Bennett, M. A.; Bruin, N.; Győry, K.; Hajdu, L. 24 2006 Binomial Thue equations and polynomial powers. Zbl 1126.11018 Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á. 13 2006 Polynomials and binary forms with given discriminant. Zbl 1121.11073 Győry, Kálmán 6 2006 Arithmetic progressions consisting of unlike powers. Zbl 1142.11018 Bruin, N.; Győry, K.; Hajdu, L.; Tengely, Sz. 3 2006 On the Diophantine equation \(n(n+d) \cdots (n+(k-1)d)= by^l\). Zbl 1115.11020 Győry, K.; Hajdu, L.; Saradha, N. 12 2005 Almost perfect powers in products of consecutive integers. Zbl 1096.11014 Győry, K.; Pintér, Á. 3 2005 On some arithmetical properties of solutions of decomposable form equations. Zbl 1090.11020 Everest, Graham; Györy, Kalman 1 2005 Index form equations in sextic fields: a hard computation. Zbl 1064.11084 Bilu, Yuri; Gaál, István; Győry, Kálmán 22 2004 On the Diophantine equation \(1^k+ 2^k+\cdots+ x^k= y^n\). Zbl 1066.11013 Bennett, Michael A.; Győry, Kálmán; Pintér, Ákos 21 2004 Power values of polynomials and binomial Thue-Mahler equations. Zbl 1064.11025 Győry, K.; Pink, I.; Pintér, A. 4 2004 On the number of equivalence classes of binary forms of given degree and given discriminant. Zbl 1050.11035 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán 3 2004 On binomial Thue-Mahler equations. Zbl 1072.11027 Bugeaud, Yann; Győry, Kálmán 1 2004 Polynomials determined by a few of their coefficients. Zbl 1090.11018 Györy, K.; Hajdu, L.; Pintér, Á.; Schinzel, A. 1 2004 On the equation \(1^k+2^k+\ldots+x^k=y^n\). Zbl 1026.11042 Győry, K.; Pintér, Á. 13 2003 On some arithmetical properties of Lucas and Lehmer numbers. II. Zbl 1047.11016 Győry, K. 2 2003 Solving Diophantine equations by Baker’s theory. Zbl 1074.11021 Győry, Kálmán 4 2002 On the number of primitive solutions of Thue equations and Thue inequalities. Zbl 1065.11016 Győry, K. 3 2002 On the number of solutions of decomposable polynomial equations. Zbl 1006.11016 Bérczes, A.; Győry, K. 2 2002 Thue inequalities with a small number of primitive solutions. Zbl 0980.11022 Győry, K. 7 2001 Discriminant form and index form equations. Zbl 0962.11020 Győry, Kálmán 9 2000 Index form equations in quintic fields. Zbl 0930.11091 Gaál, István; Győry, Kálmán 21 1999 Power values of products of consecutive integers and binomial coefficients. Zbl 1074.11502 Györy, K. 2 1999 On the distribution of solutions of decomposable form equations. Zbl 0928.11019 Győry, K. 2 1999 On the diophantine equation \(n(n+1)\dots (n+k-1)=bx^\ell\). Zbl 0896.11012 Győry, K. 12 1998 Integer solutions of a sequence of decomposable form inequalities. Zbl 0918.11022 Győry, K.; Ru, Min 5 1998 Bounds for the solutions of decomposable form equations. Zbl 0902.11015 Győry, Kálmán 4 1998 Recent bounds for the solutions of decomposable form equations. Zbl 0973.11042 Győry, K. 1 1998 On the diophantine equation \({n\choose k}=x^ \ell\). Zbl 0871.11022 Györy, K. 16 1997 The number of families of solutions of decomposable form equations. Zbl 0886.11015 Evertse, J.-H.; Győry, K. 6 1997 On prime factors of integers of the form \((ab+1)(bc+1)(ca+1)\). Zbl 0869.11071 Györy, K.; Sárközy, A. 2 1997 Counting solutions of decomposable form equations. Zbl 0883.11015 Everest, G. R.; Györy, K. 2 1997 Bounds for the solutions of Thue-Mahler equations and norm form equations. Zbl 0861.11024 Bugeaud, Yann; Györy, Kálmán 35 1996 Bounds for the solutions of unit equations. Zbl 0861.11023 Bugeaud, Yann; Györy, Kálmán 21 1996 On the number of prime factors of integers of the form \(ab+1\). Zbl 0857.11047 Györy, K.; Sárközy, A.; Stewart, C. L. 8 1996 On the irreducibility of neighbouring polynomials. Zbl 0814.11050 Györy, K. 8 1994 On a conjecture of Posner and Rumsey. Zbl 0813.11061 Györy, K.; Schinzel, A. 3 1994 Upper bounds for the degrees of decomposable forms of given discriminant. Zbl 0803.11022 Györy, K. 1 1994 On the number of families of solutions of systems of decomposable form equations. Zbl 0792.11004 Györy, K. 8 1993 Lower bounds for resultants. I. Zbl 0780.11016 Evertse, J. H.; Györy, K. 6 1993 Some applications of decomposable form equations to resultant equations. Zbl 0820.11018 Györy, K. 4 1993 On the number of pairs of polynomials with given resultant or given semi- resultant. Zbl 0798.11043 Györy, K. 3 1993 On pairs of binary forms with given resultant or given semi-resultant. Zbl 0795.11017 Györy, K. 1 1993 Some recent applications of \(S\)-unit equations. Zbl 0792.11005 Györy, Kálmán 6 1992 On the irreducibility of a class of polynomials. IV. Zbl 0772.11042 Györy, K. 3 1992 On arithmetic graphs associated with integral domains. II. Zbl 0798.11042 Györy, K. 1 1992 Effective finiteness results for binary forms with given discriminant. Zbl 0746.11020 Evertse, J. H.; Györy, K. 16 1991 Thue inequalities with a small number of solutions. Zbl 0767.11018 Evertse, J.-H.; Györy, K. 4 1991 Bounds for the solutions of some diophantine equations in terms of discriminants. Zbl 0746.11018 Brindza, B.; Evertse, J. H.; Györy, K. 3 1991 On second order linear divisibility sequences over algebraic number fields. Zbl 0749.11015 Györy, K.; Pethö, A. 1 1991 On arithmetic graphs associated with integral domains. Zbl 0727.11039 Györy, K. 4 1990 On some arithmetical properties of weighted sums of S-units. Zbl 0738.11034 Györy, K.; Mignotte, M.; Shorey, T. N. 3 1990 On unit equations with rational coefficients. Zbl 0705.11014 Brindza, B.; Györy, K. 1 1990 Thue-Mahler equations with a small number of solutions. Zbl 0675.10009 Evertse, J. H.; Györy, K. 4 1989 On the numbers of solutions of decomposable polynomial equations. Zbl 0655.10017 Evertse, J. H.; Gaál, I.; Györy, K. 1 1989 On S-unit equations in two unknowns. Zbl 0662.10012 Evertse, J.-H.; Györy, K.; Stewart, C. L.; Tijdeman, R. 23 1988 S-unit equations and their applications. Zbl 0658.10023 Evertse, J.-H.; Györy, K.; Stewart, C. L.; Tijdeman, R. 21 1988 On the numbers of solutions of weighted unit equations. Zbl 0644.10015 Evertse, J.-H.; Györy, K. 13 1988 Finiteness criteria for decomposable form equations. Zbl 0595.10013 Evertse, J.-H.; Györy, K. 10 1988 On prime factors of sums of integers. III. Zbl 0588.10001 Györy, K.; Stewart, C. L.; Tijdeman, R. 2 1988 On the number of polynomials and integral elements of given discriminant. Zbl 0653.13005 Evertse, J. H.; Györy, K. 1 1988 Decomposable form equations. Zbl 0658.10022 Evertse, J.-H.; Györy, K. 1 1988 Correction to: On the diophantine equation \(1^ k+2^ k+\dots +x^ k+R(x)=y^ z\). Zbl 0632.10017 Voorhoeve, M.; Györy, K.; Tijdeman, R. 4 1987 Equal values of binary forms at integral points. Zbl 0636.10014 Evertse, J.-H.; Györy, K.; Shorey, T. N.; Tijdeman, R. 1 1987 On prime factors of sums of integers. I. Zbl 0602.10031 Györy, K.; Stewart, C. L.; Tijdeman, R. 4 1986 On the Catalan equation over algebraic number fields. Zbl 0577.10017 Brindza, B.; Györy, K.; Tijdeman, R. 2 1986 On unit equations and decomposable form equations. Zbl 0552.10010 Evertse, J. H.; Györy, K. 10 1985 Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely domains. Zbl 0519.13008 Györy, K. 9 1984 ...and 41 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 439 Authors 48 Hajdu, Lajos 35 Győry, Kálmán 21 Bugeaud, Yann 21 Gaál, István 18 Evertse, Jan-Hendrik 18 Luca, Florian 18 Pethő, Attila 15 Bérczes, Attila 13 Pintér, Ákos 13 Tijdeman, Robert 13 Ziegler, Volker 11 Bennett, Michael A. 11 El Fadil, Lhoussain 9 Ben Yakkou, Hamid 9 Tengely, Szabolcs 8 Pink, István 8 Pohst, Michael 7 Akhtari, Shabnam 7 Bazsó, András 7 Ostafe, Alina 7 Saradha, N. 7 Waldschmidt, Michel 6 Brindza, Béla 6 Fuchs, Clemens 6 Mignotte, Maurice 6 Shparlinski, Igor E. 6 Siksek, Samir 5 Bell, Jason P. 5 Miyazaki, Takafumi 5 Patel, Vandita 5 Poulakis, Dimitrios 5 Smith, Hanson 5 Tichy, Robert Franz 5 Togbé, Alain 5 Varga, Nóra 5 Zannier, Umberto M. 4 Bertók, Csanád 4 Dubickas, Artūras 4 Jakhar, Anuj 4 Koutsianas, Angelos 4 Laishram, Shanta 4 Levin, Aaron 4 Nakahara, Toru 4 Rout, Sudhansu Sekhar 4 Sárközy, András 4 Sha, Min 4 Sharma, Divyum 4 Stewart, Cameron L. 4 Terai, Nobuhiro 3 Bajpai, Prajeet 3 Banerjee, Pradipto 3 Bilu, Yuri F. 3 Bonciocat, Nicolae Ciprian 3 Chen, Zhihua 3 Cipu, Mihai 3 Corvaja, Pietro 3 Das, Pranabesh 3 Everest, Graham Robert 3 Filaseta, Michael A. 3 Heuberger, Clemens 3 Kchit, Omar 3 Kovács, Tünde 3 Koymans, Peter 3 Levesque, Claude 3 Masser, David William 3 Mello, Jorge 3 Robertson, Leanne 3 Ru, Min 3 Sebestyén, Peter 3 Shorey, Tarlok Nath 3 Smertnig, Daniel 3 Soydan, Gokhan 3 Thuswaldner, Jörg Maximilian 3 Von Känel, Rafael 3 Vukusic, Ingrid 3 Yan, Qiming 2 Aczél, János Dezső 2 Argáez-García, Alejandro 2 Arpin, Sarah 2 Bayad, Abdelmejid 2 Bell, Paul C. 2 Bengoechea, Paloma 2 Bera, Ranjan 2 Bhargava, Manjul 2 Bonciocat, Anca Iuliana 2 Bozlee, Sebastian J. 2 Choulli, Hanan 2 Coppola, Nirvana 2 Dan-Cohen, Ishai 2 Didi, Jalal 2 Đoković, Dragomir Ž. 2 Dujella, Andrej 2 Fouvry, Etienne 2 Garcia, Stephan Ramon 2 Gherga, Adela 2 Grant, David R. 2 He, Bo 2 Heintze, Sebastian 2 Herendi, O. 2 Herr, Leo ...and 339 more Authors all top 5 Cited in 130 Serials 72 Journal of Number Theory 26 Acta Arithmetica 22 Acta Mathematica Hungarica 20 Indagationes Mathematicae. 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Mathematical Sciences 2 The New York Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Integers 2 Albanian Journal of Mathematics 2 Involve 1 American Mathematical Monthly 1 Analysis Mathematica 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Metrika 1 Acta Mathematica Vietnamica 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. 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Nouvelle Série 1 Tatra Mountains Mathematical Publications 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Numerical Linear Algebra with Applications ...and 30 more Serials all top 5 Cited in 29 Fields 462 Number theory (11-XX) 38 Algebraic geometry (14-XX) 18 Field theory and polynomials (12-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 Commutative algebra (13-XX) 8 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Mathematical logic and foundations (03-XX) 6 Group theory and generalizations (20-XX) 5 Computer science (68-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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