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AVERAGE SIZE OF GAPS IN THE FOURIER EXPANSION OF MODULAR FORMS.

Authors :
ALKAN, EMRE
Source :
International Journal of Number Theory. Jun2007, Vol. 3 Issue 2, p207-215. 9p.
Publication Year :
2007

Abstract

We prove that certain powers of the gap function for the newform associated to an elliptic curve without complex multiplication are "finite" on average. In particular we obtain quantitative results on the number of large values of the gap function. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17930421
Volume :
3
Issue :
2
Database :
Academic Search Index
Journal :
International Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
25345681
Full Text :
https://doi.org/10.1142/S1793042107000870