Rapid computation of L-functions attached to Maass forms

DOI10.1142/S1793042118500896zbMATH Open1446.11093arXiv1703.08863OpenAlexW3099634357MaRDI QIDQ4643790

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Publication date: 29 May 2018

Published in: (Search for Journal in Brave)

Abstract: Let $L$ be a degree-$2$ $L$-function associated to a Maass cusp form. We explore an algorithm that evaluates $t$ values of $L$ on the critical line in time $O(t^{1+varepsilon})$. We use this algorithm to rigorously compute an abundance of consecutive zeros and investigate their distribution.

Full work available at URL: https://arxiv.org/abs/1703.08863

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