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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 6, Pages 7–22 (Mi fpm1347)  
This article is cited in 2 scientific papers (total in 2 papers)

Arithmetic properties of Shimura sums related to several modular forms

G. V. Voskresenskaya

Samara State University
Full-text PDF (149 kB) Citations (2)
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Abstract: The paper is concerned with Shimura sums related to modular forms with multiplicative coefficients which are products of Dedekind $\eta$-functions of various arguments. Several identities involving Shimura sums are established. The type of an identity obtained depends on the splitting of primes in certain imaginary quadratic number fields.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 4, Pages 444–455
DOI: https://doi.org/10.1007/s10958-012-0748-9
Bibliographic databases:
Document Type: Article
UDC: 511.38
Language: Russian
Citation: G. V. Voskresenskaya, “Arithmetic properties of Shimura sums related to several modular forms”, Fundam. Prikl. Mat., 16:6 (2010), 7–22; J. Math. Sci., 182:4 (2012), 444–455
Citation in format AMSBIB
\Bibitem{Vos10}
\by G.~V.~Voskresenskaya
\paper Arithmetic properties of Shimura sums related to several modular forms
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 6
\pages 7--22
\mathnet{http://mi.mathnet.ru/fpm1347}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2825513}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 182
\issue 4
\pages 444--455
\crossref{https://doi.org/10.1007/s10958-012-0748-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84859490764}
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  • https://www.mathnet.ru/eng/fpm/v16/i6/p7
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :116
    References:46
    First page:1
     
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