On $\zeta(2n)$. Even simpler
Samuel G. Moreno, Esther M. Garc\'ia--Caballero
TL;DR
This paper presents an elementary method to compute the values of the Riemann zeta function at even integers by solving an interpolation problem, simplifying previous approaches.
Contribution
It introduces a new elementary approach to evaluate (2n) by generalizing an existing idea, making the computation more accessible.
Findings
Provides a simplified method for (2n) computation.
Generalizes previous interpolation techniques.
Offers an elementary solution to a classical problem.
Abstract
We solve an interpolation problem for computing in a rather elementary way, by generalizing the main idea in \cite{SE}.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Algebraic Geometry and Number Theory