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Uniform effective estimates for |L(1,χ)|
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-08-24 , DOI: 10.1016/j.jnt.2021.07.019 Alessandro Languasco 1 , Timothy S. Trudgian 2
中文翻译:
|L(1,χ)| 的统一有效估计
更新日期:2021-08-24
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-08-24 , DOI: 10.1016/j.jnt.2021.07.019 Alessandro Languasco 1 , Timothy S. Trudgian 2
Affiliation
Let be the Dirichlet L-function associated to a non-principal primitive Dirichlet character χ defined , where . We prove, under the assumption of the Generalised Riemann Hypothesis, the validity of estimates given by Lamzouri, Li, and Soundararajan on . As a corollary, we have that similar estimates hold for the class number of the imaginary quadratic field , .
中文翻译:
|L(1,χ)| 的统一有效估计
让是与非主基元狄利克雷特征χ相关联的狄利克雷L函数, 在哪里. 我们证明,在广义黎曼假设的假设下,Lamzouri、Li 和 Soundararajan 在. 作为推论,我们对虚二次域的类数有类似的估计,.