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Number Theory: Diophantine Equation: ax+by=gcd(a,b)

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Discriminant Equations in Diophantine Number Theory

Halter-Koch and R. Tichy, eds. Heuberger, A. Ziegler, Automatic solution of families of Thue equations and an example of degree 8. Symbolic Computation 38 , — Lee, Studies on Diophantine Equations. PhD Thesis, Cambridge University, Lippok, On the representation of 1 by binary cubic forms of positive discriminant.

Symbolic Computation 15 , — Acta Math. Matveev, An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. Debrecen 56 , — Mignotte, Linear forms in two and three logarithms and interpolation determinants. English summary. Diophantine equations, —, Tata Inst. Mignotte and N. Tzanakis, On a family of cubics. Number Theory 39 , 41— Okazaki, Geometry of a cubic Thue Equation. Mignotte and T. Shorey, On some arithmetical properties of weighted sums of S-units, Math.

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Urbanowicz eds. Kanemitsu eds. Everest, I.

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I, Springer, , pp. Debrecen, 62 , Agriensis, Sect. Hajdu and N. Schinzel, Polynomials determined by a few of their coefficients, Indag. Bennett, K. Bilu, I. Debrecen, 65 , Cambridge Philos. Bennett, N. Bruin, K. Hajdu, Powers from products of consecutive terms in arithmetic progressions, Proc. London Math. Debrecen, 69 , Yu, Bounds for the solutions of S-unit equations and decomposable form equations, Acta Arith. Hajdu and Sz. Tengely, Arithmetic progressions consisting of unlike powers, Indag. Debrecen, 70 , House, New Delhi, India, , pp. Pontreau, Effective results for points on certain subvarieties of tori, Math.

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Scuola Normale Sup. Pisa Cl. Debrecen, 82 , Pintz, A. Harcos, M. Simonovits and J. Szabados eds. Debrecen, 84 , Tijdeman, Representation of finite graphs as difference graphs of S-units, I, J.


Citations of Andrej Dujella

Combinatorial Theory, , Debrecen, 89 , Elsholtz, P. Grabner, eds , Festschrift in honour of Robert F. Tichy's 60th birthday, Springer , Bugeaud, J.