✦ LIBER ✦

Density of integer solutions to diagonal quadratic forms

✍ Scribed by T. D. Browning

Publisher: Springer Vienna
Year: 2007
Tongue: English
Weight: 215 KB
Volume: 152
Category: Article
ISSN: 0026-9255
DOI: 10.1007/s00605-007-0457-5

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Reduction of families of quadratic forms

Reduction of families of quadratic forms to diagonal form

✍ O. K. Mironov 📂 Article 📅 1971 🏛 Springer US 🌐 English ⚖ 166 KB

Integer solutions to decomposable form i

Integer solutions to decomposable form inequalities

✍ Zhihua Chen; Min Ru 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 136 KB

This paper obtains a result on the finiteness of the number of integer solutions to decomposable form inequalities. Let k be a number field and let F (X 1 , ..., X m ) be a non-degenerate decomposable form with coefficients in k. We prove that, for every finite set of places S of k containing the ar

Short proofs of the universality of cert

Short proofs of the universality of certain diagonal quadratic forms

✍ Jesse I. Deutsch 📂 Article 📅 2008 🏛 Springer 🌐 English ⚖ 98 KB

Representation of algebraic integers by

Representation of algebraic integers by ternary quadratic forms

✍ Yu. G. Teterin 📂 Article 📅 1985 🏛 Springer US 🌐 English ⚖ 470 KB

Solutions to quadratic minimization prob

Solutions to quadratic minimization problems with box and integer constraints

✍ David Yang Gao; Ning Ruan 📂 Article 📅 2009 🏛 Springer US 🌐 English ⚖ 524 KB

Local Densities of Representations of Qu

Local Densities of Representations of Quadratic Forms over p-Adic Integers (The Non-Dyadic Case)

✍ Fumihiro Sato; Yumiko Hironaka 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 235 KB

We give an explicit formula for local densities of integral representations of nondegenerate integral symmetric matrices of arbitrary size in the case p{2, in terms of invariants of quadratic forms.