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Number Theory and Applications

Proceedings of the International Conferences on Number Theory and Cryptography

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. S. D. Adhikari

    1. Harish-Chandra Research Inst., Allahabad, India

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  2. B. Ramakrishnan

    1. Harish-Chandra Research Inst., Allahabad, India

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (16 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Analysis of the Lattice Sieve

    • R. Balasubramanian, Gagan Garg, C. E. Veni Madhavan
    Pages 1-13

  3. On the Number of Solutions to the Equation (x1 + ⋯ + x n )m = ax1 ⋯ x n over the Finite Field \( \mathbb{F} \) q for gcd(m − n, q − 1) = 7 and gcd(m − n, q − 1) = 14

    • Ioulia Baoulina
    Pages 15-24

  4. On the Sign Changes of Hecke Eigenvalues

    • Y. J. Choie, A. Sankaranarayanan, J. Sengupta
    Pages 25-32

  5. Distribution of Some Sequences Modulo 1

    • ArtÅ«ras Dubickas
    Pages 33-41

  6. Large Sieves and Cusp Forms of Weight One

    • Satadal Ganguly
    Pages 43-54

  7. Open Problems on Densities

    • Georges Grekos
    Pages 55-63

  8. A Geometric Framework for the Subfield Problem of Generic Polynomials Via Tschirnhausen Transformation

    • Akinari Hoshi, Katsuya Miyake
    Pages 65-104

  9. On q-Additive and q-Multiplicative Functions

    • I. Kátai
    Pages 105-126

  10. Variations of the Sato-Tate Conjecture

    • M. Ram Murty
    Pages 127-138

  11. On the Determination of Diophantine Triples

    • D. S. Nagaraj, Parvati Shastri
    Pages 139-148

  12. On the Clique and the Chromatic Numbers of High-Dimensional Distance Graphs

    • A. M. Raigorodskii, O. I. Rubanov
    Pages 149-155

  13. On Units Generated by Euler Systems

    • Anupam Saikia
    Pages 157-174

  14. Pillai’s Problem on Consecutive Integers

    • N. Saradha, R. Thangadurai
    Pages 175-188

  15. Characterization of Class Groups of Krull Monoids Via Their Systems of Sets of Lengths: A Status Report

    • Wolfgang A. Schmid
    Pages 189-212

  16. Diophantine Approximation by Numbers of Small Height

    • W. M. Schmidt
    Pages 213-218

  17. Theory of the Siegel Modular Variety

    • Jae-Hyun Yang
    Pages 219-278
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About this book

This collection of articles contains the proceedings of the two international conferences (on Number Theory and Cryptography) held at the Harish - Chandra Research Institute. In recent years the interest in number theory has increased due to its applications in areas like error-correcting codes and cryptography. These proceedings contain papers in various areas of number theory, such as combinatorial, algebraic, analytic and transcendental aspects, arithmetic algebraic geometry, as well as graph theory and cryptography. While some papers do contain new results, several of the papers are expository articles that mention open questions, which will be useful to young researchers.

Editors and Affiliations

  • Harish-Chandra Research Inst., Allahabad, India

    S. D. Adhikari, B. Ramakrishnan

Bibliographic Information

  • Book Title: Number Theory and Applications

  • Book Subtitle: Proceedings of the International Conferences on Number Theory and Cryptography

  • Editors: S. D. Adhikari, B. Ramakrishnan

  • DOI: https://doi.org/10.1007/978-93-86279-46-0

  • Publisher: Hindustan Book Agency Gurgaon

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

  • Copyright Information: Hindustan Book Agency (India) 2009

  • eBook ISBN: 978-93-86279-46-0Published: 15 June 2009

  • Edition Number: 1

  • Number of Pages: 288

  • Topics: Mathematics, general

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