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This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology during the last 25 years. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications. Among the major topics treated are Rademacher's convergent series for the partition function, Lehner's congruences for the Fourier coefficients of the modular functionj(r), and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. Both volumes of this work emphasize classical aspects of a subject which in recent years has undergone a great deal of modern development. It is hoped that these volumes will help the nonspecialist become acquainted with an important and fascinating part of mathematics and, at the same time, will provide some of the background that belongs to the repertory of every specialist in the field. This volume, like the first, is dedicated to the students who have taken this course and have gone on to make notable contributions to number theory and other parts of mathematics. T.M.A. January, 1976 * The first volume is in the Springer-Verlag series Undergraduate Texts in Mathematics under the title Introduction to Analytic Number Theory.
Review:
From the reviews of the second edition:
“Apostol is an excellent writer of mathematics and the topics that are covered in this book are covered thoroughly in a concise, precise manner. ... the writing is characterized by its easy, readable, fluid style. Each chapter is complemented with a nice set of exercises.” (Álvaro Lozano-Robledo, The Mathematical Association of America, June, 2011)
Title: Modular Functions and Dirichlet Series in ...
Publisher: Springer
Publication Date: 1989
Binding: Hardcover
Condition: New
Edition: 2nd Edition
Seller: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
Soft cover. Condition: New. Dust Jacket Condition: New. 2nd Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-7877763139
Seller: Aideo Books, San Marino, CA, U.S.A.
Trade paperback. Condition: New in new dust jacket. 2nd 1990. Corr. 2nd Printing ed. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 234 p. Contains: Illustrations. Graduate Texts in Mathematics, 41. Audience: General/trade. Seller Inventory # K6120000018
Seller: Antiquariat Smock, Freiburg, Germany
Condition: Gut. Formateinband: Pappband / gebundene Ausgabe X, 204 S. (24 cm) Second Edition, 3rd printing; Guter und sauberer Zustand. Sprache: Englisch Gewicht in Gramm: 600 [Stichwörter: Modulare Funktionen und Dirichlet-Reihen in der Zahlentheorie]. Seller Inventory # 77360
Seller: Die Buchgeister, Ludwigsburg, BW, Germany
Condition: Gut. 1976, Bibliotheksexemplar - Einband: leichte Lagerspuren - Schnitt: leicht nachgedunkelt - Seiten: wie ungelesen, leicht nachgedunkelt. Seller Inventory # AN-8EUB-XVL1
Seller: beneton, Millsboro, DE, U.S.A.
hardcover. Condition: Fair. 2nd. H. Seller Inventory # 230301157
Seller: WeBuyBooks, Rossendale, LANCS, United Kingdom
Condition: Like New. Most items will be dispatched the same or the next working day. An apparently unread copy in perfect condition. Dust cover is intact with no nicks or tears. Spine has no signs of creasing. Pages are clean and not marred by notes or folds of any kind. Seller Inventory # wbs1510453044
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Seller: Books From California, Simi Valley, CA, U.S.A.
Hardcover. Condition: Fine. Seller Inventory # mon0003858385
Seller: moluna, Greven, Germany
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. . Seller Inventory # 5912920
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Seller: preigu, Osnabrück, Germany
Buch. Condition: Neu. Modular Functions and Dirichlet Series in Number Theory | Tom M. Apostol | Buch | x | Englisch | 1989 | Springer | EAN 9780387971278 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 104859122
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Condition: New. Seller Inventory # 672277-n
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