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

2022/05/21 by K Venkatasubbareddy, K, Venkatasubbareddy, Ayyadurai Sankaranarayanan +1
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2205.10554

openalex publication_date 2022/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

Related

• On the average behavior of coefficients related to triple product L-functions
• Averages and nonvanishing of central values of triple product L-functions
• Higher symmetric power L-functions and their Fourier coefficients
• On the coefficients of ℓ-fold product L-function
• Approximate functional equation and mean value formula for the derivatives of L-functions attached to cusp forms