The functional equation for $\zeta$
Keith Ball
TL;DR
This paper provides a concise proof of the functional equation for the Riemann zeta function, a fundamental relation in number theory that connects values of the zeta function at s and 1-s.
Contribution
It offers a simplified and clear proof of the functional equation, enhancing understanding of this key property of the zeta function.
Findings
Proof of the functional equation for (s)
Clarification of the symmetry property of (s)
Simplification of existing proofs
Abstract
This note contains a short proof of the functional equation for the zeta function.
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Taxonomy
TopicsFunctional Equations Stability Results