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September 2021 Accurate computations of Euler products over primes in arithmetic progressions
Ramaré Olivier
Funct. Approx. Comment. Math. 65(1): 33-45 (September 2021). DOI: 10.7169/facm/1853

Abstract

This note provides accurate 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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Ramaré Olivier. "Accurate computations of Euler products over primes in arithmetic progressions." Funct. Approx. Comment. Math. 65 (1) 33 - 45, September 2021. https://doi.org/10.7169/facm/1853

Information

Published: September 2021
First available in Project Euclid: 13 September 2021

Digital Object Identifier: 10.7169/facm/1853

Subjects:
Primary: 11Y60
Secondary: 05A, 11N13

Keywords: Euler products

Rights: Copyright © 2021 Adam Mickiewicz University

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Vol.65 • No. 1 • September 2021
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