Work

Some extreme forms defined in terms of Abelian groups

Year: 1959

Type: article

Abstract: Let be a positive definite quadratic form of determinant D, and let M be the minimum of f(x) for integral x ≠ 0. Then we set and the maximum being over all positive forms f in n variables. f is said to be extreme if y γn(f) is a local maximum for varying f, absolutely extreme if y γ(f) is an absolute maximum, i.e. if y γ(f) = γn.

Source: Journal of the Australian Mathematical Society

DOI: 10.1017/s1446788700025064

Authors: E. S. Barnes, G. E. Wall

Institution: The University of Sydney

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2016111732

FWCI: 3.02

Cites: 3

Cited by: 83

Related to: 10