A new form of the circle method, and its application to quadratic forms.
A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables
A note on the representability of quaternary quadratic forms as sums of squares of two linear forms
Almost regular quaternary quadratic forms
We investigate the almost regular positive definite integral quaternary quadratic forms. In particular, we show that every such form is -anisotropic for at most one prime number . Moreover, for a prime there is an almost regular -anisotropic quaternary quadratic form if and only if . We also study the genera containing some almost regular -anisotropic quaternary form. We show several finiteness results concerning the families of these genera and give effective criteria for almost regularity....
An Asymmetric Inequality for non-homogeneous ternary quadratic forms.
Applications des formules générales qui donnent la solution complète, en nombres entiers, de l'équation homogène du second degré contenant un nombre quelconque d'inconnues
Arithmetic of quaternary quadratic forms
Arithmétique des formes quadratiques quaternaires