Poincaré series and the divisors of modular forms
- Autores: D. Choi
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3393-3403
- Idioma: inglés
- DOI: 10.1090/s0002-9939-2010-10133-8
- Enlaces
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Resumen
Recently, Bruinier, Kohnen and Ono obtained an explicit description of the action of the theta-operator on meromorphic modular forms on in terms of the values of modular functions at points in the divisor of . Using this result, they studied the exponents in the infinite product expansion of a modular form and recurrence relations for Fourier coefficients of a modular form. In this paper, we extend these results to meromorphic modular forms on for an arbitrary positive integer .
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