Poincaré series and the divisors of modular forms

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10 Citations (Scopus)


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 languageEnglish
Pages (from-to)3393-3403
Number of pages11
JournalProceedings of the American Mathematical Society
Issue number10
Publication statusPublished - 2010 Oct
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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