On the vanishing of coefficients of $\eta^{26}

S. Krishnamoorthy; T. Dalal

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arXiv · 2411.14990

On the vanishing of coefficients of $\eta^{26}

S. Krishnamoorthy·T. Dalal

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Abstract

J.-P. Serre, in his paper [1], established a sufficient condition on $n$ for the $n$-th coefficient of the series $\eta^{26}$ to vanish. However, the question that whether this is a necessary condition remained unanswered. In this paper, using the theory of Hecke eigenforms explored by Serre, we prove some partial cases for the converse part.

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S. Krishnamoorthy, T. Dalal. 2024-11-22. On the vanishing of coefficients of $\eta^{26}. https://arxiv.org/abs/2411.14990

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