Finite trigonometric sums arising from Ramanujan's theta functions

Bruce C. Berndt; Sun Kim; Alexandru Zaharescu

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arXiv · 2210.04659

Finite trigonometric sums arising from Ramanujan's theta functions

Bruce C. Berndt·Sun Kim·Alexandru Zaharescu

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Abstract

Two classes of finite trigonometric sums, each involving only $\sin$'s, are evaluated in closed form. The previous and original proofs arise from Ramanujan's theta functions and modular equations.

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Bruce C. Berndt, Sun Kim, Alexandru Zaharescu. 2022-10-10. Finite trigonometric sums arising from Ramanujan's theta functions. https://arxiv.org/abs/2210.04659

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