On the coefficients of triple product l-functions
On the coefficients of triple product l-functions
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Date
2017-01-01
Authors
Lu, Guangshi
Sankaranarayanan, Ayyadurai
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Abstract
In this paper, we investigate the average behavior of coeficients of the triple product L-function L(f f f; s) attached to a 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 eigenfunction of all Hecke operators simultaneously.
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Keywords
Dirichlet series,
Fourier coeficients of automorphic forms,
Perron's formula,
Triple product L-function
Citation
Rocky Mountain Journal of Mathematics. v.47(2)