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.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Adhikari, Sukumar Das,; Akiyama, Shigeki,; Amoroso, Francesco,; Baker, A.,; Bayer-Fluckiger, Eva,; Beck, József,; Brindza, Béla,; Brindza, Β.,; Bugeaud, Yann,; Bérczes, A.,; Cavallar, Stefania,; Dujella, Andrej,; Duverney, Daniel,; Erdős, Paul,; Evertse, Jan-Hendrik,; Franco, Zachary M.,; Fujii, Akio,; Fujiwara, Masahiko,; Gaál, István,; Győry, K.,; Hajdu, L.,; Kanemitsu, S.,; Kiss, Péter,; Korec, Ivan,; Kuzumaki, T.,; Laurent, Michel,; Lemmermeyer, Franz,; Lettl, Günter,; Liptai, Kálmán,; Martinet, Jacques,; Melfi, Giuseppe,; Mignotte, Maurice,; Mátyás, Ferenc,; Nakahara, Toru,; Nakamula, Ken,; Niederreiter, Harald,; Nishioka, Keiji,; Nishioka, Kumiko,; Okazaki, Ryotaro,; Parusnikov, V.I.,; Pethő, Attila,; Pintér, Á.,; Rotkiewicz, A.,; Schinzel, A.,; Shiokawa, Iekata,; Szalay, László,; Terai, Nobuhiro,; Thuswaldner, Jörg Μ.,; Tichy, R.F.,; Tijdeman, R.,; Voutier, Paul,; Xing, Chaoping,; Zimmer, Horst G.,
• HerausgeberIn: Gyoery, Kalman,; Pethoe, Attila,; Sos, Vera T.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©1998
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (595 p.)

Table of Contents

• 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