A theta function identity of degree 7 with applications

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Abstract

A theta function identity of degree 7 is established with the theory of elliptic functions. A multitude of new modular identities are derived from this theta function identity. Some finite trigonometric sums are given.

Original languageEnglish
Pages (from-to)389-396
Number of pages8
JournalIntegral Transforms and Special Functions
Volume23
Issue number6
DOIs
StatePublished - Jun 2012

Keywords

  • elliptic function
  • entire function
  • modular equations
  • theta function

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