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ON THE SET OF VALUES OF A POSITIVE TERNARY QUADRATIC FORM. / Filonov, N.D.

In: St. Petersburg Mathematical Journal, Vol. 35, No. 4, 04.10.2024, p. 731-739.

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Harvard

Filonov, ND 2024, 'ON THE SET OF VALUES OF A POSITIVE TERNARY QUADRATIC FORM', St. Petersburg Mathematical Journal, vol. 35, no. 4, pp. 731-739. https://doi.org/10.1090/spmj/1824

APA

Vancouver

Filonov ND. ON THE SET OF VALUES OF A POSITIVE TERNARY QUADRATIC FORM. St. Petersburg Mathematical Journal. 2024 Oct 4;35(4):731-739. https://doi.org/10.1090/spmj/1824

Author

Filonov, N.D. / ON THE SET OF VALUES OF A POSITIVE TERNARY QUADRATIC FORM. In: St. Petersburg Mathematical Journal. 2024 ; Vol. 35, No. 4. pp. 731-739.

BibTeX

@article{9903d74d91d44aeba318061b35684f4a,
title = "ON THE SET OF VALUES OF A POSITIVE TERNARY QUADRATIC FORM",
abstract = "It is shown that the set of values of an integer positive definite quadratic form in three variables contains an infinite arithmetic progression. {\textcopyright} 2024 American Mathematical Society",
keywords = "Ternary quadratic form, value distribution",
author = "N.D. Filonov",
note = "Export Date: 4 November 2024 Сведения о финансировании: Russian Science Foundation, RSF, 22–11–00092 Сведения о финансировании: Russian Science Foundation, RSF Текст о финансировании 1: This research was done under the support of a grant of the Russian Science Foundation, no. 22\u201311\u201300092, https://rscf.ru/project/22-11-00092/.",
year = "2024",
month = oct,
day = "4",
doi = "10.1090/spmj/1824",
language = "Английский",
volume = "35",
pages = "731--739",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "4",

}

RIS

TY - JOUR

T1 - ON THE SET OF VALUES OF A POSITIVE TERNARY QUADRATIC FORM

AU - Filonov, N.D.

N1 - Export Date: 4 November 2024 Сведения о финансировании: Russian Science Foundation, RSF, 22–11–00092 Сведения о финансировании: Russian Science Foundation, RSF Текст о финансировании 1: This research was done under the support of a grant of the Russian Science Foundation, no. 22\u201311\u201300092, https://rscf.ru/project/22-11-00092/.

PY - 2024/10/4

Y1 - 2024/10/4

N2 - It is shown that the set of values of an integer positive definite quadratic form in three variables contains an infinite arithmetic progression. © 2024 American Mathematical Society

AB - It is shown that the set of values of an integer positive definite quadratic form in three variables contains an infinite arithmetic progression. © 2024 American Mathematical Society

KW - Ternary quadratic form

KW - value distribution

U2 - 10.1090/spmj/1824

DO - 10.1090/spmj/1824

M3 - статья

VL - 35

SP - 731

EP - 739

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 4

ER -

ID: 126740340