Omega Results for Fourier Coefficients of Half-Integral Weight and Siegel Modular Forms

Das, S (2020) Omega Results for Fourier Coefficients of Half-Integral Weight and Siegel Modular Forms. In: Springer Proceedings in Mathematics and Statistics, 10 - 14 December 2018, Kozhikode, pp. 59-72.

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Abstract

We prove an Ω -result for the Fourier coefficients of a half-integral weight cusp form of arbitrary level, nebentypus and weights. In particular, this implies that the analogue of the Ramanujan-Petersson conjecture for such forms is essentially the best possible. As applications, we show similar Ω -results for Fourier coefficients of Siegel cusp forms of any degree and on Hecke congruence subgroups. © 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

Item Type:	Conference Paper
Publication:	Springer Proceedings in Mathematics and Statistics
Publisher:	Springer
Additional Information:	The copyright for this article belongs to Springer.
Keywords:	Fourier transforms; Number theory; Waveform analysis, Arbitrary levels; Fourier coefficients; Modular forms, Fourier analysis
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	07 Feb 2023 09:10
Last Modified:	07 Feb 2023 09:10
URI:	https://eprints.iisc.ac.in/id/eprint/79992

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