Selberg's Central Limit Theorem for automorphic L-functions in the t-aspect

2020/12/19 by Madhuparna Das, Das, Madhuparna
Mathematics · #Analytic Number Theory Research #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2012.10766

Abstract

We present a proof of Selberg's Central Limit Theorem for automorphic L-functions of degree 2 using Radziwiłł\space and Soundararajan's method. Additionally, we prove the independence of the automorphic L-functions associated with the sequence of primitive holomorphic cusp forms.

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