Author: Alexander OppenheimPublisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 76
Book Description
The Minima of Indefinite Quaternary Quadratic Forms ...
Author: Alexander OppenheimPublisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 76
Book Description
On the Minima of Indefinite Ternary Quadratic Forms
Author: Smith HigginsPublisher:
ISBN:
Category : Forms (Mathematics)
Languages : en
Pages : 0
Book Description
Asymmetric Minima of Indefinite Ternary Quadratic Forms
Author: Roderick Tom WorleyPublisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 167
Book Description
A Geometrical Approach to Markoff's Minima Problem of Indefinite Ternary Quadratic Forms
Author: Charles R. RueveStudies in the Theory of Numbers
Author: Leonard Eugene DicksonPublisher: Chelsea Publishing Company, Incorporated
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 264
Book Description
Pt. I. Arithmetic of ternary quadratic forms. Quadratic forms in n variables -- Introduction to ternary quadratic forms; universal forms -- Representation of binary forms by ternary forms -- Equivalence of indefinite, ternary, quadratic forms -- Genera and representation of numbers -- Quadratic Diophantine equations -- pt. II. Minima of indefinite quadratic forms. Minima of indefinite, binary quadratic forms -- Minima of indefinite, ternary, quadratic forms -- Minima of indefinite, quaternary, quadratic forms -- Tabulation of reduced, integral, ternary, quadratic forms which are indefinite, but not zero forms -- pt. III. Miscellaneous investigations of quadratic forms. Reduced, positive, quadratic forms; their minima -- Universal, zero, quadratic forms -- Number of representations as a sum of 5, 6, 7, or 8 squares.
Ternary Quadratic Forms and Norms
Author: O. TausskyPublisher: CRC Press
ISBN: 1000153355
Category : Mathematics
Languages : en
Pages : 156
Book Description
This book covers topics including the Redei-Reichardt theorem, automorphs of ternary quadratic forms, facts concerning rational matrices leading to integral ternary forms representing zero, characteristics polynomials of symmetric matrices, and Gauss' theory of ternary quadratic forms.
On the Minima of Indefinite Binary Quadratic Forms
Author: Mary Flahive GburPublisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 654
Book Description
Geometry of Numbers
Author: C. G. LekkerkerkerPublisher: Elsevier
ISBN: 1483259277
Category : Mathematics
Languages : en
Pages : 521
Book Description
Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume VIII: Geometry of Numbers focuses on bodies and lattices in the n-dimensional euclidean space. The text first discusses convex bodies and lattice points and the covering constant and inhomogeneous determinant of a set. Topics include the inhomogeneous determinant of a set, covering constant of a set, theorem of Minkowski-Hlawka, packing of convex bodies, successive minima and determinant of a set, successive minima of a convex body, extremal bodies, and polar reciprocal convex bodies. The publication ponders on star bodies, as well as points of critical lattices on the boundary, reducible, and irreducible star bodies and reduction of automorphic star bodies. The manuscript reviews homogeneous and inhomogeneous s forms and some methods. Discussions focus on asymmetric inequalities, inhomogeneous forms in more variables, indefinite binary quadratic forms, diophantine approximation, sums of powers of linear forms, spheres and quadratic forms, and a method of Blichfeldt and Mordell. The text is a dependable reference for researchers and mathematicians interested in bodies and lattices in the n-dimensional euclidean space.
Representation by Indefinite Ternary Quadratic Forms
Author: Samuel SilberfarbPublisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 88
Book Description
On Indefinite Ternary Non-null Quadratic Forms
Author: Arnold Ephrain RossPublisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 62
Book Description