Kálmán Győry - Selected Publications#


[1] K.Győry, On polynomials with integer coefficients and given discriminant I, II, III, IV, V, Acta Arith. 23(1973),419-426; Publ.Math. Debrecen 21(1974), 125-144; ibid. 23(1976), 141-165; ibid. 25(1978), 155-167; Acta Math.Hungar. 32(1978), 175-190 (36 + 53 +90 + 27 + 26 = 232 citations)

[2] K.Győry and Z.Z.Papp, Effective estimates for the integer solutions of norm form and discriminant form equations, Publ.Math. Debrecen, 25(1978), 311-325 (41 citations)

[3] K.Győry, On the number of solutions of linear equations in units of an algebraic number field, Comment.Math.Helv. 54(1979), 583-600 (48 citations)

[4] K.Győry, Résultats effectifs sur la représentation des entiers par des formes décomposables, Queen's Papers in Pure and Applied Math. No. 56, Kingston , Canada, 1980 ( 48 citations)

[5] J.H.Evertse, K.Győry, C.L.Stewart and R.Tijdeman, S-unit equations and their applications, in : New Advances in Transcendence Theory ( A.Baker ed.), pp.110-174. Cambridge Universitym Press, 1988 (90 citations)

[6] J.H.Evertse and K.Győry, Effective finiteness results for binary forms with given discriminant, Compositio Math. 79( 1991), 169-204 (33 citations)

[7] M.Bennett, K.Győry, M.Mignotte and Á.Pintér, Binomial Thue equations and polynomial powers, Compositio Math. 142 (2006), 1103-1121 (19 citations)

[8] J.H.Evertse and K.Győry, Effective results for unit equations over finitely generated domains, Math.Proc.Cambridge Philos. Soc. 154 (2013), 351-380 (6 citations)

[9] J.H.Evertse and K.Győry, Unit Equations in Diophantine Number Theory, Cambridge Universityn Press, 2015 (3 citations)

[10] J.H.Evertse and K.Győry, Discriminant Equations in Diophantine Number Theory, Cambridge University Press, to appear in 2016 (1 citation)


Total number of his publications: 179; namely, 3 books, 5 edited proceedings, 3 dissertations and 168 research papers
From the LAST 5 YEARS : 15,; namely 2 books,, 1 edited proceedings and 12 research papers

More than 2100 independent citations ( 300 of them in 50 books ); his Hirsch index : 26


Apart from [7], the other works deal with unit equations, [1], [2], [4]-[6], [10] with discriminant equations, and [2], [4], [5], [9] with decomposable form equations. These classes of equations are of basic importance in Diophantine number theory, they have a great variety of applications.

The books [9], [10] provide the first comprehensive treatment of unit equations and discriminant equations. Their contents are an outgrowth of research, done by the two authors since the 1970's.

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