Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work
Share this pageG. H. Hardy
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Table of Contents
Table of Contents
Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work
- RAMANUJAN 22
- PREFACE 66
- PREFACE TO THE FOURTH PRINTING 88
- CONTENTS 1010
- I THE INDIAN MATHEMATICIAN RAMANUJAN 1212
- II RAMANUJAN AND THE THEORYOF PRIME NUMBERS 3333
- III ROUND NUMBERS 5959
- IV SOME MORE PROBLEMS OF THE ANALYTIC THEORY OF NUMBERS 6969
- V A LATTICE-POINT PROBLEM 7878
- VI RAMANUJAN’S WORK ON PARTITIONS 9494
- VII HYPERGEOMETRIC SERIES 112112
- VIII ASYMPTOTIC THEORY OF PARTITIONS 124124
- IX THE REPRESENTATION OF NUMBERS AS SUMS OF SQUARES 143143
- X RAMANUJAN’S FUNCTION r(n) 172172
- XI DEFINITE INTEGRALS 197197
- XII ELLIPTIC AND MODULAR FUNCTIONS 223223
- BIBLIOGRAPHY 242242
- COMMENTARY ON RAMANUJAN BY G. H. HARDY 248248