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arXiv · 2012.00603

Fourier Analysis and the closed form for the Zeta Function at even positive integers

Jibran Iqbal Shah
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Abstract

Using a summation identity obtained for the Fourier coefficients of $x^{2k}$, we derive a closed form expression for the zeta function at even positive integers, using a technique similar to one in an existing proof by Aladdi and Defant[1], but in a simpler and shorter way.

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Jibran Iqbal Shah. 2020-11-30. Fourier Analysis and the closed form for the Zeta Function at even positive integers. https://arxiv.org/abs/2012.00603

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