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  • © 1968

Introduction to Analytic Number Theory

Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 148)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-VIII
  2. The unique factorization theorem

    • K. Chandrasekharan
    Pages 1-10
  3. Congruences

    • K. Chandrasekharan
    Pages 11-17
  4. The law of quadratic reciprocity

    • K. Chandrasekharan
    Pages 34-44
  5. Arithmetical functions and lattice points

    • K. Chandrasekharan
    Pages 45-62
  6. The prime number theorem

    • K. Chandrasekharan
    Pages 122-130
  7. Back Matter

    Pages 131-143

About this book

This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. Notes of those lectures, prepared for the most part by assistants, have appeared in German. This book follows the same general plan as those notes, though in style, and in text (for instance, Chapters III, V, VIII), and in attention to detail, it is rather different. Its purpose is to introduce the non-specialist to some of the fundamental results in the theory of numbers, to show how analytical methods of proof fit into the theory, and to prepare the ground for a subsequent inquiry into deeper questions. It is pub­ lished in this series because of the interest evinced by Professor Beno Eckmann. I have to acknowledge my indebtedness to Professor Carl Ludwig Siegel, who has read the book, both in manuscript and in print, and made a number of valuable criticisms and suggestions. Professor Raghavan Narasimhan has helped me, time and again, with illuminating comments. Dr. Harold Diamond has read the proofs, and helped me to remove obscurities. I have to thank them all. K.C.

Authors and Affiliations

  • Eidgenössische Technische Hochschule Zürich, Switzerland

    K. Chandrasekharan

Bibliographic Information

  • Book Title: Introduction to Analytic Number Theory

  • Authors: K. Chandrasekharan

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-46124-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin · Heidelberg 1968

  • Softcover ISBN: 978-3-642-46126-2Published: 01 March 2012

  • eBook ISBN: 978-3-642-46124-8Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: VIII, 144

  • Topics: Number Theory

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access