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Revisiting The Riemann Zeta Function at Positive Even Integers
Published 14 Jul 2017 in math.NT | (1707.04379v1)
Abstract: Using Parseval's identity for the Fourier coefficients of $xk$, we provide a new proof that $\zeta(2k)=\dfrac{(-1){k+1}B_{2k}(2\pi){2k}}{2(2k)!}$.
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