On quasimodular eigenforms-Reference-Cited by-同舟云学术

On quasimodular eigenforms

Published:2015-03-31 Issue:03 Volume:11 Page:835-842
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Das Soumya¹,Meher Jaban¹

Affiliation:

1. Department of Mathematics, Indian Institute of Science, Bangalore 560012, India

Abstract

We derive a multiplicity one result for quasimodular eigenforms on SL2(ℤ) by completing the description of all quasimodular eigenforms. As applications of our results, we complete the answer to the question of finding all quasimodular eigenforms arising as a product of two eigenforms and also give an estimate for the size of the maximum gap in the sequence of the Fourier coefficients of a quasimodular form.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042115500451

Reference11 articles.

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