From Arithmetic to Zeta-Functions : Number Theory in Memory of Wolfgang Schwarz. 1st ed. 2016

種類:

電子ブック

責任表示:

edited by Jürgen Sander, Jörn Steuding, Rasa Steuding

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2016

著者名:

• Sander, Jürgen.
• Steuding, Jörn.
• Steuding, Rasa.
• SpringerLink (Online service)

ISBN:

9783319282039 [3319282034]    

注記:

Preface -- Forbidden Integer Ratios of Consecutive Power Sums, Ioulia N. Baoulina and Pieter Moree -- A Note on the Negative Pell Equation, Valentin Blomer -- Localisation Conditionnelle de Diviseurs, Régis de la Bretèche, Gérald Tenenbaum -- A Ternary Problem in Additive Prime Number Theory, Jörg Brüdern -- An Improvement of Liouville’s Inequality, Yann Bugeaud -- Guided by Schwarz’ Functions: a Walk Through the Garden of Mahlers Transcendence Method, Peter Bundschuh and Keijo Väänänen -- Sums of Two Squares and a Power, Rainer Dietmann and Christian Elsholtz -- Multiplicative Functions and the Sign of Maass Form Fourier Coefficients, P. D. T. A. Elliott -- On Error Sum Functions for Approximations with Arithmetic Conditions, Carsten Elsner -- Sum of the Lerch Zeta Function over Nontrivial Zeros of the Dirichlet L-Function, Ramūnas Garunkštis and Justas Kalpokas -- Schur-Weyl-Dualities - Old and New, Anne Henke -- Arithmetic functions - a Pivotal Topic in the Scientific Work of Wolfgang, Karl-Heinz Indlekofe
This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.

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