Mean-square upper bound of Hecke $L$-functions on the critical line.

A Sankaranarayanan

doi:10.46298/hrj.2003.147

A Sankaranarayanan - Mean-square upper bound of Hecke $L$-functions on the critical line.

hrj:147 - Hardy-Ramanujan Journal, January 1, 2003, Volume 26 - 2003 - https://doi.org/10.46298/hrj.2003.147

Mean-square upper bound of Hecke $L$-functions on the critical line.Article

Authors: A Sankaranarayanan ¹

1 Tata Institute for Fundamental Research

We prove the upper bound for the mean-square of the absolute value of the Hecke $L$-functions (attached to a holomorphic cusp form) defined for the congruence subgroup $\Gamma_0 (N)$ on the critical line uniformly with respect to its conductor $N$.

https://doi.org/10.46298/hrj.2003.147

Source: HAL:hal-01109810v1

Volume: Volume 26 - 2003

Published on: January 1, 2003

Imported on: March 3, 2015

Keywords: Hecke $L$-functions,Holomorphic cusp forms,Mean-value theorems,Montgomery-Vaughan Theorem,[MATH]Mathematics [math]

A Sankaranarayanan - Mean-square upper bound of Hecke $L$-functions on the critical line.

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