rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: The
    title: Mathematical Legacy of Srinivasa Ramanujan
  name:
    name part: Murty, M. Ram.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Murty, V. Kumar.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ii
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 188 p. online resource.
  abstract: Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by G. H. Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work is still having an impact on many different fields of mathematical research. The book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics. .
  table of contents: Preface -- Chapter 1. The Legacy of Srinivasa Ramanujan -- Chapter 2. The Ramanujan tau function -- Chapter 3. Ramanujan’s conjecture and l-adic representations -- Chapter 4. The Ramanujan conjecture from GL(2) to GL(n) -- Chapter 5. The circle method -- Chapter 6. Ramanujan and transcendence -- Chapter 7. Arithmetic of the partition function -- Chapter 8. Some nonlinear identities for divisor functions -- Chapter 9. Mock theta functions and mock modular forms -- Chapter 10. Prime numbers and highly composite numbers -- Chapter 11. Probabilistic number theory -- Chapter 12. The Sato-Tate conjecture for the Ramanujan tau-function -- Bibliography -- Index.
  note: by M. Ram Murty, V. Kumar Murty.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Fourier analysis
  subject:
    topic: Special functions
  subject:
    topic: History
  subject:
    topic: Number theory
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Number Theory
  subject:
    topic: History of Mathematical Sciences
  subject:
    topic: Combinatorics
  subject:
    topic: Special Functions
  subject:
    topic: Fourier Analysis
  subject:
    topic: Algebra
  classification: QA241-247.5
  classification: 512.7
  related item:
    title info:
      title: Springer eBooks
  identifier: 9788132207702
  identifier: http://dx.doi.org/10.1007/978-81-322-0770-2
  record info:
    record creation date: 121009
    record change date: 20151125221743.0
    record identifier: 978-81-322-0770-2