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On quasimodular eigenforms.

Authors :
Das, Soumya
Meher, Jaban
Source :
International Journal of Number Theory. May2015, Vol. 11 Issue 3, p835-842. 8p.
Publication Year :
2015

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17930421
Volume :
11
Issue :
3
Database :
Academic Search Index
Journal :
International Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
101830544
Full Text :
https://doi.org/10.1142/S1793042115500451