 Perron formula

ID: perron-formula

Codex  0 Created 2026-09-24 Updated 2026-09-24

\sum_{n \leq x} a_{n} = \frac{1}{2 πi} \int_{c - i \infty}^{c + i \infty} (\sum_{n \geq 1} \frac{a _{n}}{n ^{s}}) \frac{x ^{s}}{s} d s,

with the usual convergence and endpoint conventions.

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