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

2022/12/22 by Kampamolla Venkatasubbareddy, Ayyadurai Sankaranarayanan
Mathematics · #Analytic Number Theory Research #Advanced Algebra and Geometry #Advanced Mathematical Identities

paper · doi:10.7169/facm/2046

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,\mathbbZ). Here we call f(z) a primitive cusp form if it is an eigenfunction of all Hecke operators simultaneously.

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