Number Theory : : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / / ed. by Attila Pethoe, Kalman Gyoery, Vera T. Sos.
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| Other title: | I-IV -- Preface -- Table of contents -- List of participants -- The average behaviour of the number of solutions of a Diophantine equation and an averaging technique -- Pisot numbers and greedy algorithm -- Upper bounds for the resultant and Diophantine applications -- Logarithmic forms and the abc- conjecture -- Local—global principles and linear algebraic groups -- Diophantine approximation and quadratic fields -- On a problem of P. Turán concerning irreducible polynomials -- On products of the terms of linear recurrences -- On the Kronecker-Győry specialization -- On the greatest prime factor of axm + byn -- The Euclidean algorithm in cubic number fields -- A problem of Diophantus and Dickson's conjecture -- Transcendence of Jacobi's theta series and related results -- Some of my new and almost new problems and results in combinatorial number theory -- Lower bounds for resultants II -- Distribution of binomial coefficients modulo ρ -- The distribution of the zeros of the Riemann zeta function and Baker's theorems -- θ-congruent numbers -- Computing power integral bases in algebraic number fields -- Recent bounds for the solutions of decomposable form equations -- On a generalization of the Maillet determinant -- An approximation problem concerning linear recurrences -- Elementary definability from Pascal's triangle modulo ρ and the set of e-th powers -- New methods in algebraic independence -- On the arithmetic of simplest sextic fields and related Thue equations -- Algebraic constructions of lattices; isodual lattices -- Real roots of Fibonacci-like polynomials -- On some modular identities -- Complete resolution of some families of Diophantine equations -- Experiments on a problem of D. Shanks concerning quadratic fields -- Squares in binary recurrence sequences -- Algebraic curves over finite fields with many rational points -- On a Shintani decomposition for a cubic field defined by X3 + kX - 1 = 0 -- Klein polyhedra for complete decomposable forms -- Arithmetical progressions formed by Lucas pseudoprimes -- Reducibility of polynomials over Kroneckerian fields -- A note on certain exponential Diophantine equations -- The fundamental lemma of Kubilius and the model of Kubilius in number fields -- Diophantine properties of digital expansions -- Exponential diophantine equations 1986-1996 -- Basic algorithms for elliptic curves |
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| Format: | Mode of access: Internet via World Wide Web. |
| ISBN: | 9783110809794 9783110637199 |
| DOI: | 10.1515/9783110809794 |
| Access: | restricted access |
| Hierarchical level: | Monograph |
| Statement of Responsibility: | ed. by Attila Pethoe, Kalman Gyoery, Vera T. Sos. |
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