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arXiv · 2409.00384

A non-ordinary (prime) note

Wadim Zudilin
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Abstract

Given a newform with the Fourier expansion $\sum_{n=1}^\infty b(n)q^n\in\mathbb Z[[q]]$, a prime $p$ is said to be non-ordinary if $p\mid b(p)$. We exemplify several newforms of weight 4 for which the latter divisibility implies a stronger divisibility - a property that may be thought unlikely to happen too often.

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Wadim Zudilin. 2024-08-31. A non-ordinary (prime) note. https://arxiv.org/abs/2409.00384

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