Some remarks related to Maeda's conjecture

M. Ram Murty; K. Srinivas

Some remarks related to Maeda's conjecture

Number Theory 2016-03-03 v1

Authors: M. Ram Murty , K. Srinivas

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.

Keywords

prime number theory prime numbers

Cite

@article{arxiv.1603.00813,
  title  = {Some remarks related to Maeda's conjecture},
  author = {M. Ram Murty and K. Srinivas},
  journal= {arXiv preprint arXiv:1603.00813},
  year   = {2016}
}

Comments

6 pages, to appear in PAMS

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