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Algebra i Analiz, 2023, Volume 35, Issue 4, Pages 183–193 (Mi aa1878)  
Research Papers

On the set of values of a ternary quadratic form

N. D. Filonovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Saint Petersburg State University
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Abstract: It is shown that the set of values of an integer positive definite quadratic form in three variables contains an infinite arithmetic progression.
Keywords: ternary quadratic form, value distribution.
Received: 17.05.2022
English version:
St. Petersburg Mathematical Journal, 2024, Volume 35, Issue 4, Pages 731–739
DOI: https://doi.org/10.1090/spmj/1824
Document Type: Article
Language: Russian
Citation: N. D. Filonov, “On the set of values of a ternary quadratic form”, Algebra i Analiz, 35:4 (2023), 183–193; St. Petersburg Math. J., 35:4 (2024), 731–739
Citation in format AMSBIB
\Bibitem{Fil23}
\by N.~D.~Filonov
\paper On the set of values of a ternary quadratic form
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 4
\pages 183--193
\mathnet{http://mi.mathnet.ru/aa1878}
\transl
\jour St. Petersburg Math. J.
\yr 2024
\vol 35
\issue 4
\pages 731--739
\crossref{https://doi.org/10.1090/spmj/1824}
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