On \(m\)--fold Holomorphic Differentials and Modular Forms

On \(m\)--fold Holomorphic Differentials and Modular Forms

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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Veröffentlicht in:arXiv.org 2021-01
Hauptverfasser: Mikoč, Damir, Muić, Goran
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Mathematical analysis
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Zusammenfassung: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.
ISSN:2331-8422