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  • Conference proceedings
  • © 2018

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

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

  • 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

Conference proceedings info: GANITA 2016.

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Table of contents (22 papers)

  1. Front Matter

    Pages i-vi
  2. Overview of the Work of Kumar Murty

    • Amir Akbary, Sanoli Gun, M. Ram Murty
    Pages 1-18
  3. On the Average Value of a Function of the Residual Index

    • Amir Akbary, Adam Tyler Felix
    Pages 19-37
  4. The 2-Class Tower of \(\mathbb {Q}(\sqrt{-5460})\)

    • Nigel Boston, Jiuya Wang
    Pages 71-80
  5. On the Bad Reduction of Certain U(2, 1) Shimura Varieties

    • Ehud de Shalit, Eyal Z. Goren
    Pages 81-152
  6. Uniqueness Results for a Class of L-Functions

    • Anup B. Dixit
    Pages 163-181
  7. On the Local Coefficients Matrix for Coverings of \(\mathrm{SL}_2\)

    • Fan Gao, Freydoon Shahidi, Dani Szpruch
    Pages 207-244
  8. On Zeros of Certain Cusp Forms of Integral Weight for Full Modular Group

    • Murugesan Manickam, E. M. Sandeep
    Pages 267-271
  9. A Note on Burgess Bound

    • Ritabrata Munshi
    Pages 273-289
  10. A Smooth Selberg Sieve and Applications

    • M. Ram Murty, Akshaa Vatwani
    Pages 291-315
  11. Explicit Arithmetic on Abelian Varieties

    • V. Kumar Murty, Pramathanath Sastry
    Pages 317-374
  12. Representations of an Integer by Some Quaternary and Octonary Quadratic Forms

    • B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
    Pages 383-409
  13. Fine Selmer Groups and Isogeny Invariance

    • R. Sujatha, M. Witte
    Pages 419-444

Other Volumes

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

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.

Editors and Affiliations

  • Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Canada

    Amir Akbary

  • Institute of Mathematical Sciences, Chennai, India

    Sanoli Gun

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

  • DOI: https://doi.org/10.1007/978-3-319-97379-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-97378-4Published: 19 September 2018

  • Softcover ISBN: 978-3-030-07346-6Published: 26 January 2019

  • eBook ISBN: 978-3-319-97379-1Published: 18 September 2018

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VI, 528

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Number Theory, Geometry

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access