On the average behavior of coefficients related to triple product L-functions

Venkatasubbareddy K; Sankaranarayanan Ayyadurai

On the average behavior of coefficients related to triple product L-functions

Number Theory 2022-05-24 v1

Authors: Venkatasubbareddy K , Sankaranarayanan Ayyadurai

Abstract

In this paper, we study the average behaviour of the coefficients of triple product L-functions and some related L-functions corresponding to normalized primitive holomorphic cusp form $f(z)$ of weight $k$ for the full modular group $SL(2,\ \mathbb{Z}).$ Here we call $f(z)$ a primitive cusp form if it is an eighenfunction of all Hecke operators simultaneously.

Keywords

triple product l-functions primitive holomorphic cusp forms average behaviour hecke operators full modular group coefficients

Cite

@article{arxiv.2205.10554,
  title  = {On the average behavior of coefficients related to triple product L-functions},
  author = {Venkatasubbareddy K and Sankaranarayanan Ayyadurai},
  journal= {arXiv preprint arXiv:2205.10554},
  year   = {2022}
}

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