Equivariant functions and vector-valued modular forms

Abstract

For any discrete group $\Gamma$ and any 2-dimensional complex representation $\rho$ of $\Gamma$, we introduce the notion of $\rho -$equivariant functions, and we show that they are parameterized by vector-valued modular forms. We also provide examples arising from the monodromy of differential equations.

7 pages, Accepted in Int. J. Number Theory

Cited by in corpus (1)

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