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

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

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

By: Matti Jutila (Editor), Tauno Metsankyla (Editor)

Hardcover

Published: 2001
For Ages: 22+ years old
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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.

Preface
On the life and work of Kustaa Inkerip. 1
On the values of certain q-hypergeometric seriesp. 5
On the Diophantine equation a(x[superscript n]-1)/(x-1) = y[superscript q]p. 19
Arithmetical properties of the solutions of certain functional equationsp. 25
Multiple zeta sums via box splinesp. 43
Galois representations attached to elliptic curves and diophantic problemsp. 71
One-sided sifting density hypotheses in Selberg's sievep. 105
On characterizations of completely multiplicative arithmetical functionsp. 115
A note on the power residue symbolp. 125
Exponential sums with a large second derivativep. 131
Some mean value results for the Riemann zeta-functionp. 145
Direct proofs of some of Euler's resultsp. 163
The fourth moment of central values of Hecke seriesp. 167
The universality of Dirichlet series attached to finite Abelian groupsp. 179
An irrationality criterion for p-adic binomial seriesp. 193
The mean values and the universality of Rankin-Selberg L-functionsp. 201
On the binary additive divisor problemp. 223
Catalan's equation just before 2000p. 247
New analytic problems over imaginary quadratic number fieldsp. 255
On number theory and Kustaa Inkerip. 281
On Lucas sequence terms of the form kx[superscript 2]p. 293
Stark's question and Popescu's conjecture for abelian L-functionsp. 305
Partial Pell numbersp. 317
List of participantsp. 323
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110164817
ISBN-10: 3110164817
Series: De Gruyter Proceedings in Mathematics
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 336
Published: 2001
Country of Publication: DE
Dimensions (cm): 24.41 x 16.99  x 2.06
Weight (kg): 0.74