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arXiv · 2105.05570

Large deviations for values of $L$-functions attached to cusp forms in the level aspect

Masahiro Mine
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Abstract

We study the distribution of values of automorphic $L$-functions in a family of holomorphic cusp forms with prime level. We prove an asymptotic formula for a certain density function closely related to this value-distribution. The formula is applied to estimate large values of $L$-functions.

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Masahiro Mine. 2021-05-12. Large deviations for values of $L$-functions attached to cusp forms in the level aspect. https://doi.org/10.2969/jmsj%2F88888888

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