From Arithmetic to Zeta-Functions Number Theory in Memory of Wolfgan

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

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From Arithmetic to Zeta-Functions Number Theory in Memory of Wolfgang Schwarz

From Arithmetic to Zeta-Functions

JRurgen Sander • JRorn Steuding • Rasa Steuding Editors

From Arithmetic to Zeta-Functions Number Theory in Memory of Wolfgang Schwarz

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Editors JRurgen Sander Institut für Mathematik und Angewandte Informatik Universität Hildesheim Hildesheim, Germany

JRorn Steuding Institut für Mathematik Universität Würzburg WRurzburg, Germany

Rasa Steuding Institut für Mathematik Universität Würzburg WRurzburg, Germany

ISBN 978-3-319-28202-2 DOI 10.1007/978-3-319-28203-9

ISBN 978-3-319-28203-9 (eBook)

Library of Congress Control Number: 2016947422 Mathematics Subject Classification (2010): 11Axx, 11Bxx, 11Dxx, 11Jxx, 11Kxx, 11Lxx, 11Mxx, 11Nxx, 11Pxx, 01Axx © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Cover image: Illustration is published with kind permission of © Nicola Oswald, 2015. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

Published with kind permission of © Jürgen Wolfart, 2009

Das schönste Denkmal, das ein Mensch bekommen kann, steht in den Herzen seiner Mitmenschen.1 Albert Schweitzer

1

The most beautiful memorial which can be erected for somebody is the imprint he leaves behind in the hearts of others.

Wenn er aber studiert, müssen ihm bedeutende ideale Ziele vorschweben

The headline above is a passage from a personal statement written by Wolfgang Schwarz shortly after finishing school, explaining his views and goals while looking forward to taking up studies at the University of Erlangen. Literally, it says that a student’s motivation must be substantial and idealistic. At that time it was customary to write a proposal for enrollment at a German university.

Fig. 1 Left: the 17-year-old Wolfgang Schwarz; right: excerpt from his essay. Published with kind permission of © Doris Schwar