Accurate Computations of Euler Products over Primes in Arithmetic Progressions

Olivier Ramaré

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arXiv · 1911.10991

Accurate Computations of Euler Products over Primes in Arithmetic Progressions

Olivier Ramaré

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Abstract

This note provides truncated formulae with explicit error terms to compute Euler products over primes in arithmetic progressions of rational fractions. It further provides such a formula for the product of terms of the shape $F(1/p, 1/p^s)$ when $F$ is a two-variable polynomial with coefficients in $\mathbb{C}$ and satisfying some restrictive conditions.

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Olivier Ramaré. 2019-11-25. Accurate Computations of Euler Products over Primes in Arithmetic Progressions. https://arxiv.org/abs/1911.10991

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