Revisiting The Riemann Zeta Function at Positive Even Integers

Abstract

Using Parseval's identity for the Fourier coefficients of $x^k$, we provide a new proof that $\hat{I}\P (2k)=\frac{(-1{)}^{k+1}{B}_{2k}(2\ddot{I}€{)}^{2k}}{2(2k)!}$.

6 pages, no figures