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ON FOURIER COEFFICIENTS OF SOME MEROMORPHIC MODULAR FORMS
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 Title & Authors
ON FOURIER COEFFICIENTS OF SOME MEROMORPHIC MODULAR FORMS
Honda, Yutaro; Kaneko, Masanobu;
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 Abstract
We prove a congruence modulo a prime of Fourier coefficients of several meromorphic modular forms of low weights. We prove the result by establishing a generalization of a theorem of Garthwaite.
 Keywords
meromorphic modular form;congruence of Fourier coefficients;congruence subgroup;
 Language
English
 Cited by
1.
Polar harmonic Maass forms and their applications, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2016, 86, 2, 213  crossref(new windwow)
 References
1.
S. Garthwaite, Convolution congruences for the partition function, Proc. Amer. Math. Soc. 135 (2007), no. 1, 13-20.

2.
P. Guerzhoy, On the Honda-Kaneko congruences, preprint, 2011.

3.
M. Kaneko and M. Koike, On modular forms arising from a differential equation of hypergeometric type, Ramanujan J. 7 (2003), no. 1-3, 145-164. crossref(new window)

4.
M. Kaneko and D. Zagier, Supersingular j-invariants, hypergeometric series, and Atkin's orthogonal polynomials, Computational perspectives on number theory (Chicago, IL, 1995), 97-126, AMS/IP Stud. Adv. Math., 7, Amer. Math. Soc., Providence, RI, 1998.

5.
S. Mathur, S. Mukhi, and A. Sen, On the classification of rational conformal field theory, Phys. Lett. B 213 (1988), no. 3, 303-308. crossref(new window)