Finite trigonometric sums and class numbers

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Explicit evaluations of finite trigonometric sums arose in proving certain theta function identities of Ramanujan. In this paper, without any appeal to theta functions, several classes of finite trigonometric sums, including the aforementioned sums, are evaluated in closed form in terms of class numbers of imaginary quadratic fields.

Original languageEnglish (US)
Pages (from-to)551-575
Number of pages25
JournalMathematische Annalen
Issue number3
StatePublished - Nov 1 2004

ASJC Scopus subject areas

  • Mathematics(all)

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