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Springer Proceedings in Mathematics & Statistics

Elliptic Curves, Modular Forms and Iwasawa Theory

In Honour of John H. Coates' 70th Birthday, Cambridge, UK, March 2015

Editors: Loeffler, David, Zerbes, Sarah Livia (Eds.)

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  • ISBN 978-3-319-45032-2
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About this book

Celebrating one of the leading figures in contemporary number theory – John H. Coates – on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations. Several of the contributions in this volume were presented at the conference Elliptic Curves, Modular Forms and Iwasawa Theory, held in honour of the 70th  birthday of John Coates in Cambridge, March 25-27, 2015. The main unifying theme is Iwasawa theory, a field that John Coates himself has done much to create.

This collection is indispensable reading for researchers in Iwasawa theory, and is interesting and valuable for those in many related fields. 


Table of contents (13 chapters)

Table of contents (13 chapters)
  • Congruences Between Modular Forms and the Birch and Swinnerton-Dyer Conjecture

    Pages 1-31

    Berti, Andrea (et al.)

  • p-adic Measures for Hermitian Modular Forms and the Rankin–Selberg Method

    Pages 33-86

    Bouganis, Thanasis

  • Big Image of Galois Representations Associated with Finite Slope p-adic Families of Modular Forms

    Pages 87-123

    Conti, Andrea (et al.)

  • Behaviour of the Order of Tate–Shafarevich Groups for the Quadratic Twists of $$X_0(49)$$

    Pages 125-159

    Dąbrowski, Andrzej (et al.)

  • Compactifications of S-arithmetic Quotients for the Projective General Linear Group

    Pages 161-223

    Fukaya, Takako (et al.)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-45032-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA in USD
  • ISBN 978-3-319-45031-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA in USD
  • ISBN 978-3-319-83192-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Elliptic Curves, Modular Forms and Iwasawa Theory
Book Subtitle
In Honour of John H. Coates' 70th Birthday, Cambridge, UK, March 2015
Editors
  • David Loeffler
  • Sarah Livia Zerbes
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
188
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-45032-2
DOI
10.1007/978-3-319-45032-2
Hardcover ISBN
978-3-319-45031-5
Softcover ISBN
978-3-319-83192-3
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VIII, 492
Number of Illustrations
13 b/w illustrations, 1 illustrations in colour
Topics