Some remarks related to Maeda’s conjecture
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- by M. Ram Murty and K. Srinivas PDF
- Proc. Amer. Math. Soc. 144 (2016), 4687-4692 Request permission
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.References
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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
- MR Author ID: 128555
- 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
- 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
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4687-4692
- MSC (2010): Primary 11F30; Secondary 11L07
- DOI: https://doi.org/10.1090/proc/13167
- MathSciNet review: 3544520