Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / Matti Jutila, Tauno Metsänkylä.

Format:

Book

Conference/Event

Author/Creator:

Turku Symposium on Number Theory in Memory of Kustaa Inkeri, Corporate Author.

Contributor:

Jutila, M. (Matti), editor.

Metsänkylä, Tauno, editor.

Conference Name:

Turku Symposium on Number Theory in Memory of Kustaa Inkeri (1999 : Turku, Finland)

Series:

De Gruyter Proceedings in Mathematics

Language:

English

Subjects (All):

Number theory--Congresses.

Number theory.

Physical Description:

1 online resource (336 p.)

Edition:

Reprint 2013

Place of Publication:

Berlin ; Boston : De Gruyter, [2014]

Language Note:

English

Summary:

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.

Contents:

Frontmatter

Preface

Table of Contents

On the life and work of Kustaa Inkeri / Metsänkylä, Tauno

On the values of certain q-hypergeometric series / Amou, Masaaki / Katsurada, Masanori / Vaananen, Keijo

On the Diophantine equation / Bugeaud, Yann

Arithmetical properties of the solutions of certain functional equations / Bundschuh, Peter

Multiple zeta sums via box splines / Dilcher, Karl / Haller, Kirk

Galois representations attached to elliptic curves and diophantine problems / Frey, Gerhard

One-sided sifting density hypotheses in Selberg's sieve / Greaves, George / Huxley, Martin

On characterizations of completely multiplicative arithmetical functions / Haukkanen, Peniti

A note on the power residue symbol / Helou, Charles

Exponential sums with a large second derivative / Huxley, Martin / Kolesnik, Grigori

Some mean value results for the Riemann zeta-function / Ivić, Aleksandar

Direct proofs of some of Euler's results / Jackson, Terence

The fourth moment of central values of Hecke series / Jutila, Matti

The universality of Dirichlet series attached to finite Abelian groups / Laurinčikas, Antanas

An irrationality criterion for p-adic binomial series / Matala-aho, Tapani

The mean values and the universality of Rankin-Selberg L-functions / Matsumoto, Kohji

On the binary additive divisor problem / Meurman, Tom

Catalan's equation just before 2000 / Mignotte, Maurice

New analytic problems over imaginary quadratic number fields / Motohashi, Yoichi

On number theory and Kustaa Inkeri / van der Poorten, Alfred J.

On Lucas sequence terms of the form kx2 / Ribenboim, Paulo / McDaniel, Wayne L.

Stark's question and Popescu's conjecture for abelian L-functions / Sands, Jonathan W.

Partial Pell numbers / Strazdins, Indulis

List of participants

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110870923

3110870924

OCLC:

979970225