Poincaré series and the divisors of modular forms

D. Choi

doi:10.1090/S0002-9939-2010-10133-8

Poincaré series and the divisors of modular forms

D. Choi

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Recently, Bruinier, Kohnen and Ono obtained an explicit description of the action of the theta-operator on meromorphic modular forms f on SL ₂(ℤ) in terms of the values of modular functions at points in the divisor of f. 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 Γ₀(N) for an arbitrary positive integer N >1.

Original language	English
Pages (from-to)	3393-3403
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-2010-10133-8
Publication status	Published - 2010 Oct
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-2010-10133-8

Cite this

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Poincaré series and the divisors of modular forms

Abstract

ASJC Scopus subject areas

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