A multi-variable theta product

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A multi-variable theta product is examined. It is shown that, under very general choices of the parameters, the quotient of two such general theta products is a root of unity. Special cases are explicitly determined. The second main theorem yields an explicit evaluation of a sum of series of cosines, which greatly generalizes one of Ramanujan's theorems on certain sums of hyperbolic cosines.

Original languageEnglish (US)
Pages (from-to)11-22
Number of pages12
JournalIndagationes Mathematicae
Issue number1
StatePublished - 2002

ASJC Scopus subject areas

  • Mathematics(all)


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