狄利克雷l函数的计算方法

Mathematica Montisnigri Pub Date : 1900-01-01 DOI:10.20948/mathmontis-2022-54-5

Brahim Mittou, Abdallah Derbal

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引用次数: 0

摘要

本文利用广义伯努利数给出了与原始狄利克雷特征χ相关的L(s， χ)的渐近公式。在本文中，基于上述渐近公式，我们描述了一种计算Dirichlet l -函数的方法，该方法可用于验证高度T > 0的广义黎曼假设。我们的方法是对Davies和Haselgrove提出的方法的改进。

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Method for calculating Dirichlet L-functions

Recently, the authors gave asymptotic formulas for L(s, χ), which associated with a primitive Dirichlet character χ, in terms of the generalized Bernoulli numbers. In this paper, based on the aforementioned asymptotic formulas we describe a method for calculating Dirichlet L-functions that can be used to validate the generalized Riemann hypothesis up to a height T > 0. Our method is a refinement of the one presented by Davies and Haselgrove.

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Mathematica Montisnigri

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