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Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work

G. H. Hardy

Table of Contents

  • The Indian mathematician Ramanujan
  • Ramanujan and the theory of prime numbers
  • Round numbers
  • Some more problems of the analytic theory of numbers
  • A lattice-point problem
  • Ramanujan's work on partitions
  • Hypergeometric series
  • Asymptotic theory of partitions
  • The representation of numbers as sums of squares
  • Ramanujan's function $\tau(n)$
  • Definite integrals
  • Elliptic and modular functions
  • Bibliography

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