Topics in Analytic Number Theory
At the time of Professor Rademacher's death early in 1969, there was available a complete manuscript of the present work. The editors had only to supply a few bibliographical references and to correct a few misprints and errors. No substantive changes wer
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Herausgegeben von
J. 1. Doob . A. Grothendieck . E. Heinz. F. Hirzebruch E. Hopf . W. Maak . S. MacLane . W. Magnus. J. K. Moser M. M. Postnikov . F. K. Schmidt. D. S. Scott. K. Stein
Geschaftsfiihrende Herausgeber B. Eckmann und B. 1. van der Waerden
Hans Rademacher
Topics in Analytic Number Theory
Springer-Verlag Berlin Heidelberg New York 1973
Geschiiftsfilhrende Herausgeber:
B. Eckmann Eidgentissiscbe Technische Hochschule ZUrich
B. L. van der Waerden Mathematisches Institut der Universitat Zilrich
AMS Subject Classifications (1970) 10A40, 10A4S, 10C1S, 10HOS, 10H10, 10J20, 30A08, 30A42, 31BOS ISBN-13: 978-3-642-80617-9 e-ISBN-13: 978-3-642-80615-5 DOl: 10.1007/978-3-642-80615-5 fhis work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag, Berlin· Heidelberg 1973. Softcover reprint of the hardcover 1st edition 1973 Library of Congress Catalog Card Number 72-79326
Hans Rademacher
Topics in Analytic Number Theory
I Springer-Verlag New York Heidelberg Berlin 1973
Geschiiftsfilhrende Herausgeber:
B. Eckmann Eidgentissiscbe Technische Hochschule ZUrich
B. L. van der Waerden Mathematisches Institut der Universitat Zilrich
AMS Subject Classifications (1970) 10A40, 10A4S, 10C1S, 10HOS, 10H10, 10J20, 30A08, 30A42, 31BOS ISBN-13: 978-3-642-80617-9 e-ISBN-13: 978-3-642-80615-5 DOl: 10.1007/978-3-642-80615-5 fhis work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag, Berlin· Heidelberg 1973. Softcover reprint of the hardcover 1st edition 1973 Library of Congress Catalog Card Number 72-79326
Editors' Preface At the time of Professor Rademacher's death early in 1969, there was available a complete manuscript of the present work. The editors had only to supply a few bibliographical references and to correct a few misprints and errors. No substantive changes were made in the manuscript except in one or two places where references to additional material appeared; since this material was not found in Rademacher's papers, these references were deleted. The editors are grateful to Springer-Verlag for their helpfulness and courtesy. Rademacher started work on the present volume no later than 1944; he was still working on it at the inception of h
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