Number theory : diophantine, computational and algebraic aspects ; proceedings of the International Conference, held in Eger, Hungary, July 29 - August 2, 1996 ; [a Satellite Conference of the 2nd European Congress of Mathematics, held in Budapest, July 2

No detailed description available for'Number Theory'. 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 p 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 p 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

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

This volume contains 41 refereed research articles from various branches of number theory, presented at the International Conference held in Eger, Hungary, in 1996.