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

Madhuparna Das

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arXiv · 2012.10766

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

Madhuparna Das

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Abstract

We present a proof of Selberg's Central Limit Theorem for automorphic $L$-functions of degree 2 using Radziwi\l\l\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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Madhuparna Das. 2020-12-19. Selberg's Central Limit Theorem for automorphic $L$-functions in the $t$-aspect. https://arxiv.org/abs/2012.10766

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