POSITIVE INTEGERS REPRESENTED BY REGULAR PRIMITIVE POSITIVE-DEFINITE INTEGRAL TERNARY QUADRATIC FORMS

Greg Doyle; Joseph B. Muskat; Lerna Pehlivan; Kenneth S. Williams

POSITIVE INTEGERS REPRESENTED BY REGULAR PRIMITIVE POSITIVE-DEFINITE INTEGRAL TERNARY QUADRATIC FORMS

Greg Doyle, Joseph B. Muskat, Lerna Pehlivan, Kenneth S. Williams

Department of Computer Science

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

2 Scopus citations

Abstract

In 1997 Jagy, Kaplansky and Schiemann determined that there are at most 913 (classes of ) primitive, positive-definite, integral ternary quadratic forms ax² +by² + cz² + dyz + ezx + fxy which are regular. In this paper the positive integers represented by these 913 ternary forms are given.

Original language	English
Article number	A45
Journal	Integers
Volume	19
State	Published - 2019

Bibliographical note

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© 2019, Colgate University. All rights reserved.

Cite this

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title = "POSITIVE INTEGERS REPRESENTED BY REGULAR PRIMITIVE POSITIVE-DEFINITE INTEGRAL TERNARY QUADRATIC FORMS",

abstract = "In 1997 Jagy, Kaplansky and Schiemann determined that there are at most 913 (classes of ) primitive, positive-definite, integral ternary quadratic forms ax2 +by2 + cz2 + dyz + ezx + fxy which are regular. In this paper the positive integers represented by these 913 ternary forms are given.",

author = "Greg Doyle and Muskat, {Joseph B.} and Lerna Pehlivan and Williams, {Kenneth S.}",

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AU - Pehlivan, Lerna

AU - Williams, Kenneth S.

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AB - In 1997 Jagy, Kaplansky and Schiemann determined that there are at most 913 (classes of ) primitive, positive-definite, integral ternary quadratic forms ax2 +by2 + cz2 + dyz + ezx + fxy which are regular. In this paper the positive integers represented by these 913 ternary forms are given.

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M1 - A45

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POSITIVE INTEGERS REPRESENTED BY REGULAR PRIMITIVE POSITIVE-DEFINITE INTEGRAL TERNARY QUADRATIC FORMS

Abstract

Bibliographical note

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