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Invitation to Q-Series, An

- From Jacobi's Triple Product Identity to Ramanujan's "most Beautiful Identity"

Bog
  • Format
  • Bog, hardback
  • Engelsk
  • 226 sider

Beskrivelse

The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers-Ramanujan continued fraction -- a result that convinced G H Hardy that Ramanujan was a "mathematician of the highest class", and (2) what G. H. Hardy called Ramanujan's "Most Beautiful Identity". This book covers a range of related results, such as several proofs of the famous Rogers-Ramanujan identities and a detailed account of Ramanujan's congruences. It also covers a range of techniques in q-series.

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  • Vægt566 g
  • Dybde2,2 cm
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    15,4 cm
    22,8 cm

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