On sign changes of q-exponents of generalized modular functions

Kumar, N (2013) On sign changes of q-exponents of generalized modular functions. Journal of Number Theory, 133 (11). pp. 3589-3597. ISSN 0022-314X

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Abstract

Text: Let f be a generalized modular function (GMF) of weight 0 on Γ0(N) such that its q-exponents c(n) (n∈N) are all real, and div(f) = 0. In this note, we show the equidistribution of signs for c(p) (p prime) by using equidistribution theorems for normalized cuspidal eigenforms of integral weight. Video: For a video summary of this paper, please click here or visit http://youtu.be/Toqhh9v1uJM

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IITH Creators:	IITH Creators ORCiD
Item Type:	Article
Uncontrolled Keywords:	Equidistribution; Generalized modular forms; Primary; Q-Exponents; Secondary; Sign changes
Subjects:	?? sub3.8 ??
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	28 Nov 2014 11:26
Last Modified:	28 Nov 2014 11:26
URI:	http://raiithold.iith.ac.in/id/eprint/1056
Publisher URL:	http://dx.doi.org/10.1016/j.jnt.2013.04.022
Related URLs:	Google Scholar

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