Parseval's Identity and Values of Zeta Function at Even Integers

Asghar Ghorbanpour; Michelle Hatzel

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arXiv · 1709.09326

Parseval's Identity and Values of Zeta Function at Even Integers

Asghar Ghorbanpour·Michelle Hatzel

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Abstract

Historically known as the Basel problem, evaluating the Riemann zeta function at two has resulted in numerous proofs, many of which have been generalized to compute the function's values at even positive integers. We apply Parseval's identity to the Bernoulli polynomials to find such values.

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Asghar Ghorbanpour, Michelle Hatzel. 2017-09-27. Parseval's Identity and Values of Zeta Function at Even Integers. https://arxiv.org/abs/1709.09326

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