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A note on holomorphic generalized eta quotient

Agnihotri, R and Vaishya, L (2022) A note on holomorphic generalized eta quotient. In: Acta Mathematica Hungarica .

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Official URL: https://doi.org/10.1007/s10474-022-01259-6


For fixed positive integers k and N, there are only finitely many holomorphic eta quotients of weight k for the congruence subgroup \(Γ₀(N)\). In this article, we obtain a similar finiteness result for holomorphic generalized eta quotients of weight k on \(Γ1(p)\) where k is a positive integer and p is a prime number. We also obtain a criterion for two holomorphic generalised eta quotients which represent the same one. © 2022, Akadémiai Kiadó, Budapest, Hungary.

Item Type: Journal Article
Publication: Acta Mathematica Hungarica
Publisher: Springer Science and Business Media B.V.
Additional Information: The copyright for this article belongs to Springer Science and Business Media B.V.
Keywords: generalized Dedkind eta function; modular form; theta series
Department/Centre: Division of Interdisciplinary Sciences > Interdisciplinary Mathematical Sciences
Date Deposited: 06 Oct 2022 08:41
Last Modified: 06 Oct 2022 08:41
URI: https://eprints.iisc.ac.in/id/eprint/77144

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