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Matematicheskie Zametki, 2018, Volume 103, Issue 6, Pages 818–830
DOI: https://doi.org/10.4213/mzm11732 (Mi mzm11732) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Exact Cutting in Spaces of Cusp Forms with Characters

G. V. Voskresenskaya

Samara National Research University
Full-text PDF (509 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11732
Abstract: Structure theorems for spaces of cusp forms with quadratic characters are presented. It is proved that such spaces of levels $N \ne 3,17,19$ admit exact cutting if and only if the cutting function is a multiplicative $\eta$-product. The cases of the levels $N=3,17,19$ are also studied.
Keywords: modular form, cusp form, Dedekind eta-function, parabolic vertex.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00154A
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00154A.
Received: 27.06.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 6, Pages 881–891
DOI: https://doi.org/10.1134/S0001434618050243
Bibliographic databases:
Document Type: Article
UDC: 511.334
PACS: 02.30.Gp
Language: Russian
Citation: G. V. Voskresenskaya, “Exact Cutting in Spaces of Cusp Forms with Characters”, Mat. Zametki, 103:6 (2018), 818–830; Math. Notes, 103:6 (2018), 881–891
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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