Skip to main content
SpringerLink
Log in
Book cover

Elliptic Curves, Modular Forms and Cryptography

Proceedings of the Advanced Instructional Workshop on Algebraic Number Theory

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Ashwani K. Bhandari

    1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. D. S. Nagaraj

    1. Institute of Mathematical Sciences, C I T Campus, Taramani, Chennai, India

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. B. Ramakrishnan

    1. Harish-Chandra Research Institute, Jhusi, Allahabad, India

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. T. N. Venkataramana

    1. School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 56.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (23 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Elliptic Curves

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. An overview

      • D. S. Nagaraj
      Pages 3-4

    3. A Quick Introduction to Algebraic Geometry and Elliptic Curves

      • D. S. Nagaraj, B. Sury
      Pages 5-31

    4. Elliptic Curves over Finite Fields

      • B. Sury
      Pages 33-47

    5. The Nagell-Lutz Theorem

      • Rajat Tandon
      Pages 49-61

    6. Weak Mordell-Weil theorem

      • C. S. Rajan
      Pages 63-72

    7. The Mordell-Weil Theorem

      • D. S. Nagaraj, B. Sury
      Pages 73-84

    8. Complex Multiplication

      • Eknath Ghate
      Pages 85-108

    9. The Main Theorem of Complex Multiplication

      • Dipendra Prasad
      Pages 109-118

    10. Approximations of Algebraic Numbers by Rationals: A Theorem of Thue

      • T. N. Shorey
      Pages 119-137

    11. Siegel’s Theorem: Finiteness of Integral Points

      • S. D. Adhikari, D. S. Ramana
      Pages 139-149

    12. p-adic Theta Functions and Tate Curves

      • Alexander F. Brown
      Pages 151-165

    13. ℓ-adic Representation Attached to an Elliptic Curve over a Number Field

      • D. S. Nagaraj
      Pages 167-191

    14. Arithmetic on Curves

      • Chandan Singh Dalawat
      Pages 193-200

  3. Modular Forms

    1. Front Matter

      Pages 201-201
      Download chapter PDF

    2. Introduction

      • B. Ramakrishnan
      Pages 203-204

    3. Elliptic Functions

      • Parvati Shastri
      Pages 205-221

    4. An Introduction to Modular Forms and Hecke Operators

      • M. Manickam, B. Ramakrishnan
      Pages 223-245

    5. L-Functions of modular forms

      • C. S. Yogananda
      Pages 247-254
Back to top

Editors and Affiliations

  • Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

    Ashwani K. Bhandari

  • Institute of Mathematical Sciences, C I T Campus, Taramani, Chennai, India

    D. S. Nagaraj

  • Harish-Chandra Research Institute, Jhusi, Allahabad, India

    B. Ramakrishnan

  • School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India

    T. N. Venkataramana

Bibliographic Information

  • Book Title: Elliptic Curves, Modular Forms and Cryptography

  • Book Subtitle: Proceedings of the Advanced Instructional Workshop on Algebraic Number Theory

  • Editors: Ashwani K. Bhandari, D. S. Nagaraj, B. Ramakrishnan, T. N. Venkataramana

  • DOI: https://doi.org/10.1007/978-93-86279-15-6

  • Publisher: Hindustan Book Agency Gurgaon

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

  • Copyright Information: Hindustan Book Agency (India) 2003

  • eBook ISBN: 978-93-86279-15-6Published: 15 July 2003

  • Edition Number: 1

  • Number of Pages: 360

  • Topics: Mathematics, general

Publish with us

Policies and ethics

Back to top

Search

Navigation