Counting functions for branched covers of elliptic curves and quasi-modular forms

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We prove that each counting function of the m-simple branched covers with a fixed genus of an elliptic curve is expressed as a polynomial of the Eisenstein series E_2, E_4 and E_6 . The special case m=2 is considered by Dijkgraaf.
LaTeX, 16 pages, no figures

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Mathematical Physics, Combinatorics, 11F11 (Primary), 05E05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/58397

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/9909023
 http://arxiv.org/abs/math-ph/9909023

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arXiv