ON NORMALISATION OF HALF-INTEGRAL WEIGHT MODULAR FORMS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 177

Volume : 16 , Issue : 3
DOI:
Author :
M. Manickam (Kerala School of Mathematics, Kunnamangalam, Kozhikode - 673571, Kerala, INDIA)
M. K. Tamil Selvi (University of Madras, Alpha College of Engineering, Thirumazhisai, Chennai - 600124, INDIA)

Abstract

In this paper, we derive the algebraic nature of the Fourier coefficients of the Hecke eigenform $f $ of weight ${k+1/2}$ for $\Gamma_{0}(4N),$ where $k\geq 2$ and $N$ is an odd and square-free integer. 

Keywords and Phrases

Modular forms, Hecke eigenforms, Operators.

A.M.S. subject classification

Primary 11F11, 11F50; Secondary 11F37.

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