Demonstrates identities related to the Riemann zeta-function, suggesting computational applications via software.
The main purpose of this paper is to study a kind of identities related to Riemann zeta-function. We first construct a new sequence involving trigonometric function. Then using the relationship between trigonometric function, Bernoulli polynomials and Riemann zeta-function, we deduce a general computational formula for this kind of identities. From our results, some exact values can be easily obtained using Mathematical softwares (e.g. Mathematica, Maple).
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Chen et al. (2026) studied this question.
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