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Ramanujan theta function

In mathematics, particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general properties. In particular, the Jacobi triple product takes on a particularly elegant form when written in terms of the Ramanujan theta. The function is named after mathematician Srinivasa Ramanujan.

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Definition

Integral representations

  • OEIS On-Line Encyclopedia of Integer Sequences

Application in string theory

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Ramanujan theta function

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Edges18
Triples35
Avg. degree1.89
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Ramanujan theta function

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related to References · 31
Ramanujan theta function → Bailey, Basic Hypergeometric Series, Cambridge, Cambridge Tracts, Cambridge University Press, EMS Press, Encyclopedia, Eric, Gasper, Generalized Hypergeometric Series, George, Hyperspace, ISBN, Its Applications, Kaku, Mathematical Physics, Mathematics, MathWorld, Michio, Mizan
related to Application in string theory · 2
Ramanujan theta function → M-theory, The Ramanujan
related to Definition · 2
Ramanujan theta function → The Jacobi, The Ramanujan

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ramanujan function theta form jacobi mathematics theory press functions particularly cambridge university particular triple product takes written terms integral representations

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SubjectPredicateObjectConfidenceSrc
Ramanujan theta functionrelated to Application in string theoryThe Ramanujan0.60section
Ramanujan theta functionrelated to Application in string theoryM-theory0.60section
Ramanujan theta functionrelated to DefinitionThe Ramanujan0.60section
Ramanujan theta functionrelated to DefinitionThe Jacobi0.60section
Ramanujan theta functionrelated to ReferencesBailey0.60section
Ramanujan theta functionrelated to ReferencesGeneralized Hypergeometric Series0.60section
Ramanujan theta functionrelated to ReferencesCambridge Tracts0.60section
Ramanujan theta functionrelated to ReferencesMathematics0.60section
Ramanujan theta functionrelated to ReferencesMathematical Physics0.60section
Ramanujan theta functionrelated to ReferencesVol0.60section
Ramanujan theta functionrelated to ReferencesCambridge0.60section
Ramanujan theta functionrelated to ReferencesCambridge University Press0.60section

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