RATIONAL EQUIVARIANT FORMS-Reference-Cited by-同舟云学术

RATIONAL EQUIVARIANT FORMS

Published:2012-05-16 Issue:04 Volume:08 Page:963-981
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

EL BASRAOUI ABDELKRIM¹²,SEBBAR ABDELLAH³

Affiliation:

1. Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succursale Centre Ville, Montréal, QC, H3C 3J7, Canada

2. CICMA, Concordia University, Montréal, QC, H3G 1M8, Canada

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

Abstract

We investigate the notion of equivariant forms as functions on the upper half-plane commuting with the action of a discrete group. We put an emphasis on the rational equivariant forms for a modular subgroup that are parametrized by generalized modular forms. Furthermore, we study this parametrization when the modular subgroup is of genus zero as well as their behavior under the effect of the Schwarz derivative.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042112500571

Reference7 articles.

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