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Some remarks related to Maeda's conjecture


Authors: M. Ram Murty and K. Srinivas
Journal: Proc. Amer. Math. Soc. 144 (2016), 4687-4692
MSC (2010): Primary 11F30; Secondary 11L07
DOI: https://doi.org/10.1090/proc/13167
Published electronically: April 27, 2016
MathSciNet review: 3544520
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Abstract: In this article we deal with the problem of counting the number of pairs of normalized eigenforms $ (f,g) $ of weight $ k$ and level $ N$ such that $ a_p (f) = a_p (g) $ where $ a_p (f) $ denotes the $ p$-th Fourier coefficient of $ f$. Here $ p$ is a fixed prime.


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Additional Information

M. Ram Murty
Affiliation: Department of Mathematics and Statistics, Queen’s University, Jeffery Hall, 99 University Avenue, Kingston, Ontario, Cananda K7L 3N6
Email: murty@mast.queensu.ca

K. Srinivas
Affiliation: The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600 113, Tamilnadu, India
Email: srini@imsc.res.in

DOI: https://doi.org/10.1090/proc/13167
Keywords: Maeda conjecture, equidistribution, Hecke eigenvalues
Received by editor(s): July 21, 2015
Received by editor(s) in revised form: January 27, 2016
Published electronically: April 27, 2016
Additional Notes: Research of the first author was partially supported by an NSERC Discovery grant.
Communicated by: Matthew A. Papanikolas
Article copyright: © Copyright 2016 American Mathematical Society