New Trigonometric Identities and Generalized Dedekind Sums

Shinji FUKUHARA

doi:10.3836/tjm/1244208679

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Home > Journals > Tokyo J. Math. > Volume 26 > Issue 1 > Article

June 2003 New Trigonometric Identities and Generalized Dedekind Sums

Shinji FUKUHARA

Tokyo J. Math. 26(1): 1-14 (June 2003). DOI: 10.3836/tjm/1244208679

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Abstract

We obtain new trigonometric identities. We show that the coefficients of Laurent expansions of the identities give rise to the relation between special values of Hurwitz zeta function and Bernoulli numbers. Then we look into in detail the parameterized cotangent sums appearing in the identities.

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Shinji FUKUHARA. "New Trigonometric Identities and Generalized Dedekind Sums." Tokyo J. Math. 26 (1) 1 - 14, June 2003. https://doi.org/10.3836/tjm/1244208679