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On the Discriminant of a Quadratic Field with Intermediate Fractions of Negative Norm. / Korobov, A. A.; Korobov, O. A.

In: Siberian Advances in Mathematics, Vol. 31, No. 3, 07.2021, p. 177-187.

Research output: Contribution to journal › Article › peer-review

Harvard

Korobov, AA & Korobov, OA 2021, 'On the Discriminant of a Quadratic Field with Intermediate Fractions of Negative Norm', Siberian Advances in Mathematics, vol. 31, no. 3, pp. 177-187. https://doi.org/10.1134/S1055134421030020

APA

Korobov, A. A., & Korobov, O. A. (2021). On the Discriminant of a Quadratic Field with Intermediate Fractions of Negative Norm. Siberian Advances in Mathematics, 31(3), 177-187. https://doi.org/10.1134/S1055134421030020

Vancouver

Korobov AA, Korobov OA. On the Discriminant of a Quadratic Field with Intermediate Fractions of Negative Norm. Siberian Advances in Mathematics. 2021 Jul;31(3):177-187. doi: 10.1134/S1055134421030020

Author

Korobov, A. A. ; Korobov, O. A. / On the Discriminant of a Quadratic Field with Intermediate Fractions of Negative Norm. In: Siberian Advances in Mathematics. 2021 ; Vol. 31, No. 3. pp. 177-187.

BibTeX

@article{c99cae9792084db0a30348424d097e6c,
title = "On the Discriminant of a Quadratic Field with Intermediate Fractions of Negative Norm",
abstract = "We investigate the Diophantine equation of the form (Formula presented.), where k andm are odd and u is even, and 4t is a sufficiently small natural number. We obtaina complete description of the set of solutions to such an equation.",
keywords = "Diophantine approximations, Diophantine equation, generalized Pell{\textquoteright}s equation, integer solution, quadratic field, unit group",
author = "Korobov, {A. A.} and Korobov, {O. A.}",
note = "Funding Information: The work of the first author was supported by the Program for Fundamental Scientific Research of the Siberian Branch of RAS, No. I.1.3. (project no. 0314-2020-6066). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",
year = "2021",
month = jul,
doi = "10.1134/S1055134421030020",
language = "English",
volume = "31",
pages = "177--187",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "3",

}

RIS

TY - JOUR

T1 - On the Discriminant of a Quadratic Field with Intermediate Fractions of Negative Norm

AU - Korobov, A. A.

AU - Korobov, O. A.

N1 - Funding Information: The work of the first author was supported by the Program for Fundamental Scientific Research of the Siberian Branch of RAS, No. I.1.3. (project no. 0314-2020-6066). Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/7

Y1 - 2021/7

N2 - We investigate the Diophantine equation of the form (Formula presented.), where k andm are odd and u is even, and 4t is a sufficiently small natural number. We obtaina complete description of the set of solutions to such an equation.

AB - We investigate the Diophantine equation of the form (Formula presented.), where k andm are odd and u is even, and 4t is a sufficiently small natural number. We obtaina complete description of the set of solutions to such an equation.

KW - Diophantine approximations

KW - Diophantine equation

KW - generalized Pell’s equation

KW - integer solution

KW - quadratic field

KW - unit group

UR - http://www.scopus.com/inward/record.url?scp=85114750387&partnerID=8YFLogxK

U2 - 10.1134/S1055134421030020

DO - 10.1134/S1055134421030020

M3 - Article

AN - SCOPUS:85114750387

VL - 31

SP - 177

EP - 187

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 3

ER -

ID: 34191081