✦ LIBER ✦

Representations by integral quadratic forms

✍ Scribed by D.G James

Publisher: Elsevier Science
Year: 1972
Tongue: English
Weight: 475 KB
Volume: 4
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(72)90067-4

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Representations of Binary Forms by Certa

Representations of Binary Forms by Certain Quinary Positive Integral Quadratic Forms

✍ Myung-Hwan Kim; Ja Kyung Koo; Byeong-Kweon Oh 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 150 KB

In this article, we provide the complete answer to a question raised by Kitaoka in his book. (1999, ``Arithmetic of Quadratic Forms,'' Cambridge Univ. Press, Cambridge, UK). More precisely, we prove that A 4 = ( 4) represents all but one and D 4 20[2 1 2 ] represents all but three binary positive ev

Primitive Representations by Unimodular

Primitive Representations by Unimodular Quadratic Forms

✍ D.G. James 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 461 KB

Necessary and sufficient local conditions are given for the primitive representation of a lattice by a unimodular lattice. Global results are then obtained for indefinite lattices by using strong approximation. 1993 Academic Press. Inc.

Representations of Codimension ⩾3 by Def

Representations of Codimension ⩾3 by Definite Quadratic Forms

✍ Wai Kiu Chan; Dennis R. Estes; M. Jöchner 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 185 KB

Let M be a positive definite quadratic Z-lattice of rank n+3. If N is a quadratic Z-lattice of rank n which is primitively represented by the genus of M and if all the successive minima of N increase sufficiently quickly, then there exists a global primitive representation of N by M with approximati

Representations of discriminantal diviso

Representations of discriminantal divisors by binary quadratic forms

✍ Ezra Brown 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 626 KB

On Representations of Integers by Indefi

On Representations of Integers by Indefinite Ternary Quadratic Forms

✍ Mikhail Borovoi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 143 KB

Let f be an indefinite ternary integral quadratic form and let q be a nonzero integer such that &q det( f ) is not a square. Let N(T, f, q) denote the number of integral solutions of the equation f (x)=q where x lies in the ball of radius T centered at the origin. We are interested in the asymptotic

On simultaneous representations of prime

On simultaneous representations of primes by binary quadratic forms

✍ Joseph B. Muskat 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 998 KB