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arxiv: math-ph/9909023 · v1 · submitted 1999-09-19 · 🧮 math-ph · math.CO· math.MP

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

classification 🧮 math-ph math.COmath.MP
keywords branchedcountingcoversellipticcaseconsideredcurvecurves
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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.

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