 

Sanoli Gun and M. Ram Murty
Divisors of Fourier coefficients of modular forms view print


Published: 
March 14, 2014

Keywords: 
Divisor function, Fourier coefficients of modular forms, generalized Riemann hypothesis, Chebotarev density theorem 
Subject: 
11F30, 11N37 


Abstract
Let d(n) denote the number of divisors of n.
In this paper, we study the average value of d(a(p)),
where p is a prime and a(p) is the pth Fourier coefficient
of a normalized Hecke eigenform of weight k ≧ 2 for Γ_{0}(N)
having rational integer Fourier coefficients.


Acknowledgements
Research of the first author was partially supported by IMSc Number Theory grant. Research of the second author was partially supported by an NSERC Discovery grant.


Author information
Sanoli Gun:
Institute for Mathematical Sciences, CIT Campus, Taramani, Chennai, 600 113, India
sanoli@imsc.res.in
M. Ram Murty:
Department of Mathematics, Queen's University, Kingston, Ontario, K7L 3N6, Canada.
murty@mast.queensu.ca

