Download From Arithmetic to Zeta-Functions: Number Theory in Memory by Jürgen Sander, Jörn Steuding, Rasa Steuding PDF

By Jürgen Sander, Jörn Steuding, Rasa Steuding

This publication collects greater than thirty contributions in reminiscence of Wolfgang Schwarz, such a lot of that have been provided on the 7th overseas convention on ordinary and Analytic quantity idea (ELAZ), held July 2014 in Hildesheim, Germany. starting from the idea of arithmetical capabilities to diophantine difficulties, to analytic elements of zeta-functions, a few of the examine and survey articles hide the vast pursuits of the well known quantity theorist and adored colleague Wolfgang Schwarz (1934-2013), who contributed over 100 articles on quantity thought, its historical past and comparable fields. Readers attracted to simple or analytic quantity concept and similar fields will surely locate many desirable topical effects one of the contributions from either revered mathematicians and up-and-coming younger researchers. additionally, a few biographical articles spotlight the existence and mathematical works of Wolfgang Schwarz.

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Extra info for From Arithmetic to Zeta-Functions: Number Theory in Memory of Wolfgang Schwarz

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435 Jan-Christoph Schlage-Puchta Arithmetic Properties of Blocks of Consecutive Integers .. . . . . . . . . . 455 Tarlok N. Shorey and Rob Tijdeman The GCD of the Shifted Fibonacci Sequence . . . . . . .. . . . . . . . . . 473 Jürgen Spilker On Liouville Numbers: Yet Another Application of Functional Analysis to Number Theory .. . . . . . . . . . . . . . . . . . . . . . . . . . 485 Jörn Steuding Natural Boundaries of Power Series with Multiplicative Coefficients in Algebraic Number Fields .

427 Andrzej Schinzel The Non-existence of Universal Carmichael Numbers. .. . . . . . . . . . 435 Jan-Christoph Schlage-Puchta Arithmetic Properties of Blocks of Consecutive Integers .. . . . . . . . . . 455 Tarlok N. Shorey and Rob Tijdeman The GCD of the Shifted Fibonacci Sequence . . . . . . .. . . . . . . . . . 473 Jürgen Spilker On Liouville Numbers: Yet Another Application of Functional Analysis to Number Theory .. . . . .

103 Rainer Dietmann and Christian Elsholtz Multiplicative Functions and the Sign of Maass Form Fourier Coefficients ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A. Elliott On Error Sum Functions for Approximations with Arithmetic Conditions. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 Carsten Elsner xxxv xxxvi Contents Sum of the Lerch Zeta-Function over Nontrivial Zeros of the Dirichlet L-Function .

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