Number Theory

Published by De Gruyter 2001

Number Theory

Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999

Edited by: Matti Jutila and Tauno Metsänkylä

In the series De Gruyter Proceedings in Mathematics

https://doi.org/10.1515/9783110870923

Overview
Contents

About this book

These Proceedings contain 22 refereed research and survey articles based on lectures given at the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, held in Turku, Finland, from May 31 to June 4, 1999. The subject of the symposium was number theory in a broad sense with an emphasis on recent advances and modern methods. The topics covered in this volume include various questions in elementary number theory, new developments in classical Diophantine problems - in particular of the Fermat and Catalan type, the ABC-conjecture, arithmetic algebraic geometry, elliptic curves, Diophantine approximations, Abelian fields, exponential sums, sieve methods, box splines, the Riemann zeta-function and other Dirichlet series, and the spectral theory of automorphic functions with its arithmetical applications.

Author information

Professor Matti Jutila, Professor Tauno Metsänkylä, Department of Mathematics, University of Turku, Finland.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Requires Authentication Unlicensed Licensed Download PDF	V
Table of Contents Publicly Available Download PDF	VII
On the life and work of Kustaa Inkeri Tauno Metsänkylä Requires Authentication Unlicensed Licensed Download PDF	1
On the values of certain q-hypergeometric series Masaaki Amou, Masanori Katsurada and Keijo Vaananen Requires Authentication Unlicensed Licensed Download PDF	5
On the Diophantine equation Yann Bugeaud Requires Authentication Unlicensed Licensed Download PDF	19
Arithmetical properties of the solutions of certain functional equations Peter Bundschuh Requires Authentication Unlicensed Licensed Download PDF	25
Multiple zeta sums via box splines Karl Dilcher and Kirk Haller Requires Authentication Unlicensed Licensed Download PDF	43
Galois representations attached to elliptic curves and diophantine problems Gerhard Frey Requires Authentication Unlicensed Licensed Download PDF	71
One-sided sifting density hypotheses in Selberg's sieve George Greaves and Martin Huxley Requires Authentication Unlicensed Licensed Download PDF	105
On characterizations of completely multiplicative arithmetical functions Peniti Haukkanen Requires Authentication Unlicensed Licensed Download PDF	115
A note on the power residue symbol Charles Helou Requires Authentication Unlicensed Licensed Download PDF	125
Exponential sums with a large second derivative Martin Huxley and Grigori Kolesnik Requires Authentication Unlicensed Licensed Download PDF	131
Some mean value results for the Riemann zeta-function Aleksandar Ivić Requires Authentication Unlicensed Licensed Download PDF	145
Direct proofs of some of Euler's results Terence Jackson Requires Authentication Unlicensed Licensed Download PDF	163
The fourth moment of central values of Hecke series Matti Jutila Requires Authentication Unlicensed Licensed Download PDF	167
The universality of Dirichlet series attached to finite Abelian groups Antanas Laurinčikas Requires Authentication Unlicensed Licensed Download PDF	179
An irrationality criterion for p-adic binomial series Tapani Matala-aho Requires Authentication Unlicensed Licensed Download PDF	193
The mean values and the universality of Rankin-Selberg L-functions Kohji Matsumoto Requires Authentication Unlicensed Licensed Download PDF	201
On the binary additive divisor problem Tom Meurman Requires Authentication Unlicensed Licensed Download PDF	223
Catalan's equation just before 2000 Maurice Mignotte Requires Authentication Unlicensed Licensed Download PDF	247
New analytic problems over imaginary quadratic number fields Yoichi Motohashi Requires Authentication Unlicensed Licensed Download PDF	255
On number theory and Kustaa Inkeri Alfred J. van der Poorten Requires Authentication Unlicensed Licensed Download PDF	281
On Lucas sequence terms of the form kx² Paulo Ribenboim and Wayne L. McDaniel Requires Authentication Unlicensed Licensed Download PDF	293
Stark's question and Popescu's conjecture for abelian L-functions Jonathan W. Sands Requires Authentication Unlicensed Licensed Download PDF	305
Partial Pell numbers Indulis Strazdins Requires Authentication Unlicensed Licensed Download PDF	317
List of participants Requires Authentication Unlicensed Licensed Download PDF	323

(Deutsch)

Language: English
Publisher: De Gruyter
Edition: Reprint 2013
Pages
- Front matter: 8
- Main content: 328
Illustrations
- Tables: 1
- Other: 1 Frontispiz
Keywords: Zahlentheorie; Kongress; Turku

eBook

Published: January 2, 2014
ISBN: 9783110870923

Hardcover

Published: March 5, 2001
ISBN: 9783110164817