On the number of representations of integers by quadratic forms in twelve variables.
On the number of representations of integers by some quadratic forms in ten variables.
On the number of representations of positive integers by a direct sum of binary quadratic forms with discriminant .
On the number of representations of positive integers by the quadratic form .
On the product of three homogeneous linear forms
On the representation of numbers by the direct sums of some quaternary quadratic forms.
On the two-dimensional theta functions of the Borweins
On universal binary Hermitian forms.
Quadratic minima and modular forms.
Quadratic minima and modular forms II
Recherches sur la transformation par des substitutions réelles d'une somme de deux ou de trois carrés en elle-même
Recherches sur la transformation, par des substitutions rélles, d'une somme de deux ou de trois carrés en elle-même [Book]
Regular positive ternary quadratic forms
Representation numbers of five sextenary quadratic forms
For nonnegative integers a, b, c and positive integer n, let N(a,b,c;n) denote the number of representations of n by the form . Explicit formulas for N(a,b,c;n) for some small values were determined by Alaca, Alaca and Williams, by Chan and Cooper, by Köklüce, and by Lomadze. We establish formulas for N(2,1,0;n), N(2,0,1;n), N(1,2,0;n), N(1,0,2;n) and N(1,1,1;n) by employing the (p, k)-parametrization of three 2-dimensional theta functions due to Alaca, Alaca and Williams.
Representations by quaternary quadratic forms whose coefficients are 1, 3 and 9
Résolution complète, en nombres entiers, de l'équation générale du second degré, homogène et contenant un nombre quelconque d'inconnues
Shimura's mass formula for an orthogonal group over real quadratic fields
Summation of singular series corresponding to representations of numbers by some quadratic forms in twelve variables.
Sur la composition des formes quadratiques quaternaires et ses applications aux groupes fuchsiens
Sur la forme ternaire .