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Research Article

ON NORMALISATION OF HALF-INTEGRAL WEIGHT MODULAR FORMS

M
M. Manickam Kerala School of Mathematics, Kunnamangalam, Kozhikode - 673571, Kerala, INDIA
M
M. K. Tamil Selvi University of Madras, Alpha College of Engineering, Thirumazhisai, Chennai - 600124, INDIA
Volume 16, Issue 3 Pages 119-126 December 30, 2020 299 downloads
Article overview

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 formsHecke eigenformsOperators.

AMS Subject Classification

Primary 11F11, 11F50; Secondary 11F37.

Reference information

How to Cite

M. Manickam, M. K. Tamil Selvi (2020). ON NORMALISATION OF HALF-INTEGRAL WEIGHT MODULAR FORMS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 119-126.
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