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arXiv · 1710.01388

A Mean Value Result for a Product of GL(2) and GL(3) L-Functions

Olga Balkanova·Gautami Bhowmik·Dmitry Frolenkov·Nicole Raulf
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Abstract

In this paper various analytic techniques are com- bined in order to study the average of a product of a Hecke L- function and a symmetric square L-function at the central point in the weight aspect. The evaluation of the second main term relies on the theory of Maaß forms of half-integral weight and the Rankin-Selberg method. The error terms are bounded using the Liouville-Green approximation.

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Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov, Nicole Raulf. 2017-10-03. A Mean Value Result for a Product of GL(2) and GL(3) L-Functions. https://doi.org/10.1112/s002557931900010x

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