Number Theory: Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996

Book

Number Theory

Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996

Edited by: Kalman Gyoery , Attila Pethoe and Vera T. Sos

Language: English

Published/Copyright: 1998

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De Gruyter Proceedings in Mathematics

Topics

Mathematics Algebra and Number Theory

I-IV Requires Authentication Unlicensed Licensed	I
Preface Requires Authentication Unlicensed Licensed	V
Table of contents Requires Authentication Unlicensed Licensed	VII
List of participants Requires Authentication Unlicensed Licensed	XI
The average behaviour of the number of solutions of a Diophantine equation and an averaging technique Sukumar Das Adhikari Requires Authentication Unlicensed Licensed	1
Pisot numbers and greedy algorithm Shigeki Akiyama Requires Authentication Unlicensed Licensed	9
Upper bounds for the resultant and Diophantine applications Francesco Amoroso Requires Authentication Unlicensed Licensed	23
Logarithmic forms and the abc- conjecture A. Baker Requires Authentication Unlicensed Licensed	37
Local—global principles and linear algebraic groups Eva Bayer-Fluckiger Requires Authentication Unlicensed Licensed	45
Diophantine approximation and quadratic fields József Beck Requires Authentication Unlicensed Licensed	55
On a problem of P. Turán concerning irreducible polynomials A. Bérczes and L. Hajdu Requires Authentication Unlicensed Licensed	95
On products of the terms of linear recurrences Béla Brindza, Kálmán Liptai and László Szalay Requires Authentication Unlicensed Licensed	101
On the Kronecker-Győry specialization Β. Brindza and Á. Pintér Requires Authentication Unlicensed Licensed	107
On the greatest prime factor of axm + byn Yann Bugeaud Requires Authentication Unlicensed Licensed	115
The Euclidean algorithm in cubic number fields Stefania Cavallar and Franz Lemmermeyer Requires Authentication Unlicensed Licensed	123
A problem of Diophantus and Dickson's conjecture Andrej Dujella Requires Authentication Unlicensed Licensed	147
Transcendence of Jacobi's theta series and related results Daniel Duverney, Keiji Nishioka, Kumiko Nishioka and Iekata Shiokawa Requires Authentication Unlicensed Licensed	157
Some of my new and almost new problems and results in combinatorial number theory Paul Erdős Requires Authentication Unlicensed Licensed	169
Lower bounds for resultants II Jan-Hendrik Evertse Requires Authentication Unlicensed Licensed	181
Distribution of binomial coefficients modulo ρ Zachary M. Franco Requires Authentication Unlicensed Licensed	199
The distribution of the zeros of the Riemann zeta function and Baker's theorems Akio Fujii Requires Authentication Unlicensed Licensed	211
θ-congruent numbers Masahiko Fujiwara Requires Authentication Unlicensed Licensed	235
Computing power integral bases in algebraic number fields István Gaál Requires Authentication Unlicensed Licensed	243
Recent bounds for the solutions of decomposable form equations K. Győry Requires Authentication Unlicensed Licensed	255
On a generalization of the Maillet determinant S. Kanemitsu and T. Kuzumaki Requires Authentication Unlicensed Licensed	271
An approximation problem concerning linear recurrences Péter Kiss Requires Authentication Unlicensed Licensed	289
Elementary definability from Pascal's triangle modulo ρ and the set of e-th powers Ivan Korec Requires Authentication Unlicensed Licensed	295
New methods in algebraic independence Michel Laurent Requires Authentication Unlicensed Licensed	311
On the arithmetic of simplest sextic fields and related Thue equations Günter Lettl, Attila Pethő and Paul Voutier Requires Authentication Unlicensed Licensed	331
Algebraic constructions of lattices; isodual lattices Jacques Martinet Requires Authentication Unlicensed Licensed	349
Real roots of Fibonacci-like polynomials Ferenc Mátyás Requires Authentication Unlicensed Licensed	361
On some modular identities Giuseppe Melfi Requires Authentication Unlicensed Licensed	371
Complete resolution of some families of Diophantine equations Maurice Mignotte Requires Authentication Unlicensed Licensed	383
Experiments on a problem of D. Shanks concerning quadratic fields Toru Nakahara Requires Authentication Unlicensed Licensed	401
Squares in binary recurrence sequences Ken Nakamula and Attila Pethő Requires Authentication Unlicensed Licensed	409
Algebraic curves over finite fields with many rational points Harald Niederreiter and Chaoping Xing Requires Authentication Unlicensed Licensed	423
On a Shintani decomposition for a cubic field defined by X3 + kX - 1 = 0 Ryotaro Okazaki Requires Authentication Unlicensed Licensed	445
Klein polyhedra for complete decomposable forms V.I. Parusnikov Requires Authentication Unlicensed Licensed	453
Arithmetical progressions formed by Lucas pseudoprimes A. Rotkiewicz Requires Authentication Unlicensed Licensed	465
Reducibility of polynomials over Kroneckerian fields A. Schinzel Requires Authentication Unlicensed Licensed	473
A note on certain exponential Diophantine equations Nobuhiro Terai Requires Authentication Unlicensed Licensed	479
The fundamental lemma of Kubilius and the model of Kubilius in number fields Jörg Μ. Thuswaldner Requires Authentication Unlicensed Licensed	489
Diophantine properties of digital expansions R.F. Tichy Requires Authentication Unlicensed Licensed	501
Exponential diophantine equations 1986-1996 R. Tijdeman Requires Authentication Unlicensed Licensed	523
Basic algorithms for elliptic curves Horst G. Zimmer Requires Authentication Unlicensed Licensed	541

Publishing information

Pages and Images/Illustrations in book

eBook published on:

June 24, 2011

eBook ISBN:

9783110809794

Hardcover published on:

April 22, 1998

Hardcover ISBN:

9783110153644

Edition:

Reprint 2011

Pages and Images/Illustrations in book

Front matter:

17

Main content:

595

https://doi.org/10.1515/9783110809794

eBook ISBN: 9783110809794

Hardcover ISBN: 9783110153644

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Number Theory

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