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ON FOURIER COEFFICIENTS OF SOME MEROMORPHIC MODULAR FORMS
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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.
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.
참고문헌 (5)
- S. Garthwaite, "Convolution congruences for the partition function", Proc. Amer. Math. Soc, 135(1), pp.13~20 (2007)
- M. Kaneko, "On modular forms arising from a differential equation of hypergeometric type", Ramanujan J, 7(1), pp.145~164 (2003)
- M. Kaneko, "Supersingular j-invariants, hypergeometric series, and Atkin's orthogonal polynomials, Computational perspectives on number theory (Chicago, IL, 1995)", AMS, 1998, pp.7, 97~126[DOI]
- S. Mathur, "On the classification of rational conformal field theory", Phys. Lett. B, 213(3), pp.303~308 (1988)
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