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arXiv · 1404.4508

Distinguishing newforms

Sam Chow·Alexandru Ghitza
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Abstract

Let $n_0(N,k)$ be the number of initial Fourier coefficients necessary to distinguish newforms of level $N$ and even weight $k$. We produce extensive data to support our conjecture that if $N$ is a fixed squarefree positive integer and $k$ is large then $n_0(N,k)$ is the least prime that does not divide $N$.

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Sam Chow, Alexandru Ghitza. 2014-04-17. Distinguishing newforms. https://arxiv.org/abs/1404.4508

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