On the Ramanujan–Petersson conjecture for modular forms of half-integral weight

Gun, Sanoli ; Kohnen, Winfried (2019) On the Ramanujan–Petersson conjecture for modular forms of half-integral weight Forum Mathematicum, 31 (3). pp. 703-711. ISSN 0933-7741

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Official URL: http://doi.org/10.1515/forum-2018-0179

Related URL: http://dx.doi.org/10.1515/forum-2018-0179

Abstract

We investigate the (still unknown) Ramanujan-Petersson conjecture about the growth of the Fourier coefficients of cusp forms of half-integral weight and prove that it is optimal, at least for newforms in the plus space.

Item Type:Article
Source:Copyright of this article belongs to Walter de Gruyter GmbH.
Keywords:Ramanujan-petersson Conjecture; Half-integer Weight Cusp Forms.
ID Code:118014
Deposited On:11 May 2021 06:14
Last Modified:11 May 2021 06:14

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