Numerical verification of Littlewood's bounds for |L(1,χ)|, data

Published: 10 February 2021| Version 1 | DOI: 10.17632/vxg4bgc96t.1
Contributor:
alessandro languasco

Description

Max and min values for |L(1,χ)|, χ Dirichlet character mod q, q prime. Example of the results used in the paper with primes primes in [19000,20000], 30011, 83089, 991027, (minL attained here) 4305479 (maxL attained here). These values can be reproduced using the attached CodeOcean Capsule for this work. Whole sets of values for every odd prime up to 10^7 are at the following page:https://www.math.unipd.it/~languasc/Littlewood_ineq.html (see the Numerical results paragraph). Journal of Number Theory Volume 223, June 2021, Pages 12-34, https://doi.org/10.1016/j.jnt.2020.12.017

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Steps to reproduce

These data are produced with the software in the codeocean capsule MaxMinL (also attached).

Institutions

Universita degli Studi di Padova

Categories

Computational Number Theory, Analytic Number Theory

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