On the gaps between nonzero Fourier coefficients of cusp forms of higher weight
Kumar, Narasimha (2016) On the gaps between nonzero Fourier coefficients of cusp forms of higher weight. Ramanujan Journal. pp. 114. ISSN 13824090 (In Press)

Text
1602.05745v2.pdf  Accepted Version Download (207kB)  Preview 
Abstract
We show that if a modular cuspidal eigenform f of weight 2k is 2adically close to an elliptic curve E/Q, which has a cyclic rational 4isogeny, then nth Fourier coefficient of f is nonzero in the short interval (X,X+cX14) for all X≫0 and for some c>0. We use this fact to produce nonCM cuspidal eigenforms f of level N>1 and weight k>2 such that if(n)≪n14 for all n≫0.
[error in script]IITH Creators: 



Item Type:  Article  
Uncontrolled Keywords:  Elliptic curves, Rational isogeny,Fourier coefficients of modular forms, 2adically close, Higher congruence  
Subjects:  ?? sub3.8 ??  
Divisions:  Department of Mathematics  
Depositing User:  Team Library  
Date Deposited:  15 Nov 2016 06:25  
Last Modified:  15 Nov 2016 06:25  
URI:  http://raiith.iith.ac.in/id/eprint/2870  
Publisher URL:  http://dx.doi.org/10.1007/s1113901698376  
OA policy:  http://www.sherpa.ac.uk/romeo/issn/13824090/  
Related URLs: 
Actions (login required)
View Item 
Statistics for this ePrint Item 
Altmetric