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

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

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Amir Akbary

    1. Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Canada

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    You can also search for this editor in PubMed   Google Scholar

  2. Sanoli Gun

    1. Institute of Mathematical Sciences, Chennai, India

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    You can also search for this editor in PubMed   Google Scholar

  • 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

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 251)

Included in the following conference series:

Conference proceedings info: GANITA 2016.

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Table of contents (22 papers)

  1. Front Matter

    Pages i-vi
    Download chapter PDF

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

    • S. Baier, Vijay M. Patankar
    Pages 39-57

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

    • Dubravka Ban, Kwangho Choiy, David Goldberg
    Pages 59-69

  6. The 2-Class Tower of \(\mathbb {Q}(\sqrt{-5460})\)

    • Nigel Boston, Jiuya Wang
    Pages 71-80

  7. On the Bad Reduction of Certain U(2, 1) Shimura Varieties

    • Ehud de Shalit, Eyal Z. Goren
    Pages 81-152

  8. Density Modulo 1 of a Sequence Associated with a Multiplicative Function Evaluated at Polynomial Arguments

    • Jean-Marc Deshouillers, Mohammad Nasiri-Zare
    Pages 153-161

  9. Uniqueness Results for a Class of L-Functions

    • Anup B. Dixit
    Pages 163-181

  10. Quadratic Periods of Meromorphic Forms on Punctured Riemann Surfaces

    • Payman Eskandari
    Pages 183-205

  11. On the Local Coefficients Matrix for Coverings of \(\mathrm{SL}_2\)

    • Fan Gao, Freydoon Shahidi, Dani Szpruch
    Pages 207-244

  12. Eisenstein Series of Weight One, q-Averages of the 0-Logarithm and Periods of Elliptic Curves

    • Daniel R. Grayson, Dinakar Ramakrishnan
    Pages 245-266

  13. On Zeros of Certain Cusp Forms of Integral Weight for Full Modular Group

    • Murugesan Manickam, E. M. Sandeep
    Pages 267-271

  14. A Note on Burgess Bound

    • Ritabrata Munshi
    Pages 273-289

  15. A Smooth Selberg Sieve and Applications

    • M. Ram Murty, Akshaa Vatwani
    Pages 291-315

  16. Explicit Arithmetic on Abelian Varieties

    • V. Kumar Murty, Pramathanath Sastry
    Pages 317-374

  17. Derived Categories of Moduli Spaces of Vector Bundles on Curves II

    • M. S. Narasimhan
    Pages 375-382

  18. Representations of an Integer by Some Quaternary and Octonary Quadratic Forms

    • B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
    Pages 383-409

  19. A Topological Realization of the Congruence Subgroup Kernel

    • John Scherk
    Pages 411-417

  20. Fine Selmer Groups and Isogeny Invariance

    • R. Sujatha, M. Witte
    Pages 419-444
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  1. Geometry, Algebra, Number Theory, and Their Information Technology Applications

Keywords

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

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