Springer Proceedings in Mathematics & Statistics

Geometry, Algebra, Number Theory, and Their Information Technology Applications

Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016

Editors: Akbary, Amir, Gun, Sanoli (Eds.)

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  • Contains research articles in applications in number theory in information technology with emphasis on cryptographic applications of abelian varieties
  • Features research articles on explicit methods in abelian varieties, whose explicit constructions will be essential for applications in IT
  • Addresses questions such as twin rime conjectures with an overview of recent developments in Sieve theory
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eBook $139.00
price for USA in USD
  • ISBN 978-3-319-97379-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $199.99
price for USA in USD
Softcover $179.99
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About this book

This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory:

  • The theory of automorphic forms and their associated L-functions
  • Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties
  • The emerging applications of number theory in information technology

Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.

Table of contents (22 chapters)

Table of contents (22 chapters)
  • Overview of the Work of Kumar Murty

    Pages 1-18

    Akbary, Amir (et al.)

  • On the Average Value of a Function of the Residual Index

    Pages 19-37

    Akbary, Amir (et al.)

  • Applications of the Square Sieve to a Conjecture of Lang and Trotter for a Pair of Elliptic Curves Over the Rationals

    Pages 39-57

    Baier, S. (et al.)

  • R-Group and Multiplicity in Restriction for Unitary Principal Series of GSpin and Spin

    Pages 59-69

    Ban, Dubravka (et al.)

  • The 2-Class Tower of $$\mathbb {Q}(\sqrt{-5460})$$

    Pages 71-80

    Boston, Nigel (et al.)

Buy this book

eBook $139.00
price for USA in USD
  • ISBN 978-3-319-97379-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $199.99
price for USA in USD
Softcover $179.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Geometry, Algebra, Number Theory, and Their Information Technology Applications
Book Subtitle
Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016
Editors
  • Amir Akbary
  • Sanoli Gun
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
251
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-97379-1
DOI
10.1007/978-3-319-97379-1
Hardcover ISBN
978-3-319-97378-4
Softcover ISBN
978-3-030-07346-6
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VI, 528
Number of Illustrations
3 b/w illustrations
Topics