On the Lacunarity of Two-Eta-Products

Cooper, Shaun ; Gun, Sanoli ; Ramakrishnan, B. (2010) On the Lacunarity of Two-Eta-Products Georgian Mathematical Journal, 13 (4). pp. 659-673. ISSN 1072-947X

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Official URL: http://doi.org/10.1515/GMJ.2006.659

Related URL: http://dx.doi.org/10.1515/GMJ.2006.659

Abstract

We classify all lacunary modular forms corresponding to the two-eta-products ηr(z)ηs(mz) for m = 3, 4, 5, where r + s is even and rs 6= 0.We show that there are no lacunary non-cusp forms corresponding to theeta-product ηr(z)ηs(mz), m ≥ 4.

Item Type:Article
Source:Copyright of this article belongs to Walter de Gruyter GmbH.
Keywords:Dedekind Eta-Function; Lacunary Form; Heckc Forms; Modular Forms.
ID Code:118001
Deposited On:10 May 2021 16:38
Last Modified:10 May 2021 16:38

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