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Some remarks related to Maeda's conjecture (1603.00813v1)

Published 2 Mar 2016 in math.NT

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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