Computations of Witt Groups of Finite Groups.
Congruence properties of the number of solutions of some equations.
Congruences for and
Congruences for certain families of Apéry-like sequences
We systematically investigate the expressions and congruences for both a one-parameter family as well as a two-parameter family of sequences.
Congruences for
Let ℤ be the set of integers, and let (m,n) be the greatest common divisor of the integers m and n. Let p ≡ 1 (mod 4) be a prime, q ∈ ℤ, 2 ∤ q and p=c²+d²=x²+qy² with c,d,x,y ∈ ℤ and c ≡ 1 (mod 4). Suppose that (c,x+d)=1 or (d,x+c) is a power of 2. In this paper, by using the quartic reciprocity law, we determine in terms of c,d,x and y, where [·] is the greatest integer function. Hence we partially solve some conjectures posed in our previous two papers.
Congruences for representations of primes by binary quadratic forms
Conjugacy, Genus, and Class Numbers.
Conservative Quadratic Forms.
Constructing Quasi-Pythagorean Fields
Construction of entire modular forms of weights 5 and 6 for the congruence group .
Coordinates of maximal roots of weakly non-negative unit forms
Correction to the paper "Binary forms and unramified An-extensions of quadratic fields".
Correlations of representation functions of binary quadratic forms
Correspondencia entre formas ternarias enteras y órdenes cuatemiónicos.
Corrigendum to the paper "Hermitian forms over division algebras over real function fields".
Cubic moments of Fourier coefficients and pairs of diagonal quartic forms
We establish the non-singular Hasse principle for pairs of diagonal quartic equations in 22 or more variables. Our methods involve the estimation of a certain entangled two-dimensional 21st moment of quartic smooth Weyl sums via a novel cubic moment of Fourier coefficients.
Cycles d'ordre au moins 8 dans le 2-groupe des classes des corps quadratiques
Cycles of isotropic subspaces and formulas for symmetric degeneracy loci
Cyclic polygons of integer points
Cyclotomic equations and square properties in rings.