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math.NT2022
Finite trigonometric sums arising from Ramanujan's theta functions
Bruce C. Berndt, Sun Kim, Alexandru Zaharescu
Two classes of finite trigonometric sums, each involving only 's, are evaluated in closed form. The previous and original proofs arise from Ramanujan's theta functions and mo…
math.NT2022★ 1 cited
Exact evaluations and reciprocity theorems for finite trigonometric sums
Bruce C. Berndt, Sun Kim, Alexandru Zaharescu
We evaluate in closed form several classes of finite trigonometric sums. Two general methods are used. The first is new and involves sums of roots of unity. The second uses contour…