Arithmetic Properties of the Ternary Quadratic Form  3x^2+6y^2+14z^2+4yz+2zx+2xy

Florian Münkel; Lerna Pehlivan; Kenneth S. Williams

Arithmetic Properties of the Ternary Quadratic Form 3x^2+6y^2+14z^2+4yz+2zx+2xy

Florian Münkel
, Lerna Pehlivan
, Kenneth S. Williams^*

^*Corresponding author for this work

Mathematics of Operations Research

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

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Abstract

In this paper we study the arithmetic properties of the ternary quadratic form 3x^2+6y^2+14z^2+4yz+2zx+2xy. This is the ternary quadratic form of least discriminant, which is conjectured, but has not been proven to be regular.

Original language	English
Article number	A70
Number of pages	53
Journal	Integers
Volume	22
Publication status	Published - 3 Aug 2022

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https://math.colgate.edu/~integers/vol22.htmlLicence: CC BY

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title = "Arithmetic Properties of the Ternary Quadratic Form 3x\textasciicircum{}2+6y\textasciicircum{}2+14z\textasciicircum{}2+4yz+2zx+2xy",

abstract = "In this paper we study the arithmetic properties of the ternary quadratic form 3x\textasciicircum{}2+6y\textasciicircum{}2+14z\textasciicircum{}2+4yz+2zx+2xy. This is the ternary quadratic form of least discriminant, which is conjectured, but has not been proven to be regular.",

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N2 - In this paper we study the arithmetic properties of the ternary quadratic form 3x^2+6y^2+14z^2+4yz+2zx+2xy. This is the ternary quadratic form of least discriminant, which is conjectured, but has not been proven to be regular.

AB - In this paper we study the arithmetic properties of the ternary quadratic form 3x^2+6y^2+14z^2+4yz+2zx+2xy. This is the ternary quadratic form of least discriminant, which is conjectured, but has not been proven to be regular.

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JO - Integers

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M1 - A70

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Arithmetic Properties of the Ternary Quadratic Form 3x^2+6y^2+14z^2+4yz+2zx+2xy

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