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Graduate Texts in Mathematics

p-adic Numbers, p-adic Analysis, and Zeta-Functions

Authors: Koblitz, Neal

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eBook 49,99 €
price for Spain (gross)
  • ISBN 978-1-4612-1112-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,35 €
price for Spain (gross)
  • ISBN 978-0-387-96017-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,35 €
price for Spain (gross)
  • ISBN 978-1-4612-7014-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of "p-adic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (Springer-Verlag).

Reviews

From the reviews of the second edition:

“In the second edition of this text, Koblitz presents a wide-ranging introduction to the theory of p-adic numbers and functions. … there are some really nice exercises that allow the reader to explore the material. … And with the exercises, the book would make a good textbook for a graduate course, provided the students have a decent background in analysis and number theory.” (Donald L. Vestal, The Mathematical Association of America, April, 2011)


Table of contents (5 chapters)

  • p-adic numbers

    Koblitz, Neal

    Pages 1-20

    Preview Buy Chapter 30,19 €
  • p-adic interpolation of the Riemann zeta-function

    Koblitz, Neal

    Pages 21-51

    Preview Buy Chapter 30,19 €
  • Building up Ω

    Koblitz, Neal

    Pages 52-75

    Preview Buy Chapter 30,19 €
  • p-adic power series

    Koblitz, Neal

    Pages 76-108

    Preview Buy Chapter 30,19 €
  • Rationality of the zeta-function of a set of equations over a finite field

    Koblitz, Neal

    Pages 109-128

    Preview Buy Chapter 30,19 €

Buy this book

eBook 49,99 €
price for Spain (gross)
  • ISBN 978-1-4612-1112-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,35 €
price for Spain (gross)
  • ISBN 978-0-387-96017-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,35 €
price for Spain (gross)
  • ISBN 978-1-4612-7014-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
p-adic Numbers, p-adic Analysis, and Zeta-Functions
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
58
Copyright
1984
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1112-9
DOI
10.1007/978-1-4612-1112-9
Hardcover ISBN
978-0-387-96017-3
Softcover ISBN
978-1-4612-7014-0
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XII, 153
Topics