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New Advances in Transcendence Theory

New Advances in Transcendence Theory

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[22] J.-H. Evertse and K. Gyory, On unit equations and decomposable form equations, J. Reine Angew. Math. 358 (1985), 6-19. [23] J.-H. Evertse and K. Gyory, On the number of polynomials and integral elements of given discriminant, Acta ...
Diophantine Equations and Power Integral Bases: New ...

Diophantine Equations and Power Integral Bases: New ...

Istvan Gaal

K. Györy, Sur les polynomes a coefficients entiers et de discriminant donne, III, Publ. Math. (Debrecen), 23(1976), 141–165. K. Györy, On the representation of integers by decomposable forms in several variables, Publ. Math. (Debrecen) ...
A Panorama of Number Theory Or The View from Baker's Garden

A Panorama of Number Theory Or The View from Baker's Garden

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Gyory, K. ( 1 979), On the number of solutions of linear equations in units of an algebraic number field, Comment. Math. Helv., 54, 583-600. Gyory, K. (1980a), Explicit upper bounds for the solutions of some diophantine equations, Ann. Acad .
Finite and Infinite Sets: Colloquia Mathematica Societatis ...

Finite and Infinite Sets: Colloquia Mathematica Societatis ...

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[8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] K. Györy, Sur les polynómes à coefficients entiers et de discriminant donné, II., Publ. Math. Debrecen, 21 (1974), 125–144. K. Györy, Sur les polynómes à coefficients entiers et de discriminant donné ...
Unsolved Problems in Number Theory

Unsolved Problems in Number Theory

Richard Guy

Bennett, Györy & Hajdu show that the product of consecutive members of a k- term A.P. is not a power for 4 ~ k < 11, except in cases where there is a common factor, as in 9. 18. 27.36 = 54°. In a 93-05-07 letter to Ron Graham, Nobuhisa Abe  ...
Computational Number Theory: Proceedings of the Colloquium ...

Computational Number Theory: Proceedings of the Colloquium ...

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[3] E. Bombieri and W.M. Schmidt, On Thue's equation, Invent. Math. 88 (1987), 69-81. [4] B. Brindza, J.H. Evertse and K. Gyory, Bounds for the solutions of some diophantine equations in terms of discriminants, J. Austral. Math. Soc., to appear.
The Mathematical Heritage of C F Gauss

The Mathematical Heritage of C F Gauss

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J. H. Evertse, Upper bounds for the numbers of solutions of diophantine equations, MC-tract 168, Centre of Mathematics and Computer Science, Amsterdam, 1983. . J. H. Evertse and K. Györy, Thue-Mahler equations with a small number of ...
Unit Equations in Diophantine Number Theory

Unit Equations in Diophantine Number Theory

Jan-Hendrik Evertse

In the number field case when in (9.2) K is a number field and A is a ring of S- integers in K, Györy (1993a) gave a criterion for (9.2) to have only finitely many A *-cosets of solutions. Also in the number field case when T is a group of S-units in K, ...

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