Positive Integers Represented by Regular Primitive Positive-Definite Integral Ternary Quadratic Forms

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

Positive Integers Represented by Regular Primitive Positive-Definite Integral Ternary Quadratic Forms

Gregory Doyle
, Joseph B. Muskat
, Lerna Pehlivan
, Kenneth S. Williams^*

^*Corresponding author for this work

Mathematics of Operations Research

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

3 Citations (Scopus)

154 Downloads (Pure)

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
Publication status	Published - Sept 2019

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

year = "2019",

month = sep,

language = "English",

volume = "19",

journal = "Integers",

issn = "1867-0652",

publisher = "Colgate University",

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T1 - Positive Integers Represented by Regular Primitive Positive-Definite Integral Ternary Quadratic Forms

AU - Doyle, Gregory

AU - Muskat, Joseph B.

AU - Pehlivan, Lerna

AU - Williams, Kenneth S.

PY - 2019/9

Y1 - 2019/9

N2 - 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.

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.

M3 - Article

SN - 1867-0652

VL - 19

JO - Integers

JF - Integers

M1 - A45

ER -

Positive Integers Represented by Regular Primitive Positive-Definite Integral Ternary Quadratic Forms

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