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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58397We 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 figuresMathematical PhysicsCombinatorics11F11 (Primary), 05E05 (Secondary)Counting functions for branched covers of elliptic curves and quasi-modular formstext