On $m$--fold Holomorphic Differentials and Modular Forms

Damir Mikoč; Goran Muić

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arXiv · 2101.00601

On $m$--fold Holomorphic Differentials and Modular Forms

Damir Mikoč·Goran Muić

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Abstract

Let $\Gamma$ be the Fuchsian group of the first kind. For an even integer $m\ge 4$, we study $m/2$-holomorphic differentials in terms of space of (holomorphic) cuspidal modular forms $S_m(\Gamma)$. We also give in depth study of Wronskians of cuspidal modular forms and their divisors.

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Damir Mikoč, Goran Muić. 2021-01-03. On $m$--fold Holomorphic Differentials and Modular Forms. https://arxiv.org/abs/2101.00601

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