Equivariant functions and vector-valued modular forms-Reference-Cited by-同舟云学术

Equivariant functions and vector-valued modular forms

Published:2014-05-21 Issue:04 Volume:10 Page:949-954
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Saber Hicham¹,Sebbar Abdellah¹

Affiliation:

1. Department of Mathematics and Statistics, University of Ottawa, Ottawa, K1N 6N5, Canada

Abstract

For any discrete group Γ and any two-dimensional complex representation ρ of Γ, we introduce the notion of ρ-equivariant functions, and we show that they are parametrized by vector-valued modular forms. We also provide examples arising from the monodromy of differential equations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042114500092

Reference5 articles.

1. Equivariant Forms: Structure and Geometry

2. Vector-valued modular forms and Poincaré series

3. Fuchsian groups, automorphic functions and Schwarzians

4. On the critical points of modular forms

5. Equivariant functions and integrals of elliptic functions

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