Number Theory and Discrete Mathematics

  • A. K. Agarwal
  • Bruce C. Berndt
  • Christian F. Krattenthaler
  • Gary L. Mullen
  • K. Ramachandra
  • Michel Waldschmidt
Book

Table of contents

  1. Front Matter
    Pages i-xiv
    PDF
  2. Multiple Polylogarithms: An Introduction
    M. Waldschmidt
    Pages 1-12
  3. A (Conjectural) 1/3-phenomenon for the Number of Rhombus Tilings of a Hexagon which Contain a Fixed Rhombus
    C. Krattenthaler
    Pages 13-30
  4. The Influence of Carr’s Synopsis on Ramanujan
    Bruce C. Berndt
    Pages 31-35
  5. A Bailey Lemma from the Quintuple Product
    George E. Andrews
    Pages 37-46
  6. Little Flowers to G.H. Hardy (07-02-1877–01-12-1947)
    K. Ramachandra
    Pages 47-51
  7. Rogers-Ramanujan Type Identities for Burge’s Restricted Partition Pairs Via Restricted Frobenius Partitions
    A. K. Agarwal, Padmavathamma
    Pages 53-60
  8. On q-additive and q-multiplicative Functions
    I. Kátai
    Pages 61-76
  9. Antimagic Labeling of Complete m-ary Trees
    P. D. Chawathe, Vijaya Krishna
    Pages 77-80
  10. Some Recent Advances on Symmetric, Quasi-Symmetric and Quasi-Multiple Designs
    Sharad Sane
    Pages 81-88
  11. On T-core Partitions and Quadratic Forms
    Neville Robbins
    Pages 89-100
  12. Observations on Some Algebraic Equations Associated with Ramanujan’s Work
    Michele Elia
    Pages 101-111
  13. On Rapidly Convergent Series for Dirichlet L-function Values Via the Modular Relation
    S. Kanemitsu, Y. Tanigawa, M. Yoshimoto
    Pages 113-133
  14. On a Conjecture of Andrews-II
    Padmavathamma, M. Ruby Salestina
    Pages 135-147
  15. Integrity of P2 × Pn
    P. D. Chawathe, S. A. Shende
    Pages 149-155
  16. A Note on Cordial Labelings of Multiple Shells
    Mahesh Andar, Samina Boxwala, N. B. Limaye
    Pages 157-160
  17. A Report on Additive Complements of the Squares
    D. S. Ramana
    Pages 161-167
  18. Transcendental Infinite Sums and Some Related Questions
    Sukumar Das Adhikari
    Pages 169-178
  19. The Lehmer Problem on the Euler Totient: A Pendora’s Box of Unsolvable Problems
    M. V. Subbarao
    Pages 179-187
  20. The Problems Solved by Ramanujan in the Journal of the Indian Mathematical Society
    Bruce C. Berndt
    Pages 189-200

About this book

Editors and affiliations

  • A. K. Agarwal
    • 1
  • Bruce C. Berndt
    • 2
  • Christian F. Krattenthaler
    • 3
  • Gary L. Mullen
  • K. Ramachandra
  • Michel Waldschmidt
    • 4
  1. 1.Department of MathematicsPanjab UniversityChandigarhIndia
  2. 2.Department of MathematicsUniv. of Illinois at UC UrbanaUSA
  3. 3.Institute of MathematikWienAustria
  4. 4.“Theorie des Nombers”Institute de Mathematiques de JussieuParis Cedex 05France

Bibliographic information