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Sanoli Gun and M. Ram Murty
Divisors of Fourier coefficients of modular forms view print
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| Published: |
March 14, 2014
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| Keywords: |
Divisor function, Fourier coefficients of modular forms, generalized Riemann hypothesis, Chebotarev density theorem |
| Subject: |
11F30, 11N37 |
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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 p-th Fourier coefficient
of a normalized Hecke eigenform of weight k ≧ 2 for Γ0(N)
having rational integer Fourier coefficients.
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| 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.
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| 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
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