On arbitrary products of eigenforms

Arvind Kumar; Jaban Meher

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Linear relations between modular forms for Г 0 + (p)

SoYoung Choi, Chang Heon Kim (2015)

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We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.

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Generalized modular forms representable as eta products

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Mock modular forms and singular combinatorial series

Amanda Folsom, Susie Kimport (2013)

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A celebrated result of Bringmann and Ono shows that the combinatorial rank generating function exhibits automorphic properties after being completed by the addition of a non-holomorphic integral. Since then, automorphic properties of various related combinatorial families have been studied. Here, extending work of Andrews and Bringmann, we study general infinite families of combinatorial q-series pertaining to k-marked Durfee symbols, in which we allow additional singularities. We show...