Abstract. This is a survey of the main results obtained by the mathemati-cians of Georgia on the representation of natural numbers by integral qua-dratic forms before 2000
Legendre first, and then Gauss, proved that f = x^2 + y^2 + z^2 represents every positive integer no...
Some theta function identities are proved and used to give formulae for the number of representation...
We study ADC quadratic forms and Euclidean quadratic forms over the integers, obtaining complete cla...
This monograph presents combinatorial and numerical issues on integral quadratic forms as originally...
WOS: 000330644800009We determine formulae for the numbers of representations of a positive integer b...
Abstract. Formulas are obtained for the number of representations of pos-itive integers by quadratic...
AbstractExplicit formulae are determined for the number of representations of a positive integer by ...
We determine explicit formulas for the number of representations of a positive integer n by quaterna...
Consider a representative system of the positive, integral binary quadratic forms of a given negativ...
Contains fulltext : 84079.pdf (preprint version ) (Open Access
Quadratic Number Theory is an introduction to algebraic number theory for readers with a moderate kn...
An explicit formula is given for the representation number of each of the 75 reduced, positive-defin...
AbstractThe celebrated Four Squares Theorem of Lagrange states that every positive integer is the su...
A gem of a book bringing together 30 years worth of results that are certain to interest anyone whos...
International audienceAs the title suggests, this paper reviews some classical and less classical pr...
Legendre first, and then Gauss, proved that f = x^2 + y^2 + z^2 represents every positive integer no...
Some theta function identities are proved and used to give formulae for the number of representation...
We study ADC quadratic forms and Euclidean quadratic forms over the integers, obtaining complete cla...
This monograph presents combinatorial and numerical issues on integral quadratic forms as originally...
WOS: 000330644800009We determine formulae for the numbers of representations of a positive integer b...
Abstract. Formulas are obtained for the number of representations of pos-itive integers by quadratic...
AbstractExplicit formulae are determined for the number of representations of a positive integer by ...
We determine explicit formulas for the number of representations of a positive integer n by quaterna...
Consider a representative system of the positive, integral binary quadratic forms of a given negativ...
Contains fulltext : 84079.pdf (preprint version ) (Open Access
Quadratic Number Theory is an introduction to algebraic number theory for readers with a moderate kn...
An explicit formula is given for the representation number of each of the 75 reduced, positive-defin...
AbstractThe celebrated Four Squares Theorem of Lagrange states that every positive integer is the su...
A gem of a book bringing together 30 years worth of results that are certain to interest anyone whos...
International audienceAs the title suggests, this paper reviews some classical and less classical pr...
Legendre first, and then Gauss, proved that f = x^2 + y^2 + z^2 represents every positive integer no...
Some theta function identities are proved and used to give formulae for the number of representation...
We study ADC quadratic forms and Euclidean quadratic forms over the integers, obtaining complete cla...