On moments of certain families of L-functions

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Date

2022-12

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Indian Statistical Institute, Kolkata

Abstract

In this thesis, I described the notion of moments of L-functions in some families. Then I discussed some problems on estimating moments of L-functions. As applications, I showed some simultaneous non-vanishing and correlation results of certain product L-functions over number fields as well as function fields.

Description

This thesis is under the supervision of Dr. Satadal Ganguly

Keywords

L- functions, Simultaneous non-vanishing, GL(3)- Kuznetsov trace formula, Correlation of quadratic Dirichlet L-functions

Citation

122p.

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