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.
Cyclotomic modular lattices
Several interesting lattices can be realised as ideal lattices over cyclotomic fields : some of the root lattices, the Coxeter-Todd lattice, the Leech lattice, etc. Many of these are modular in the sense of Quebbemann. The aim of the present paper is to determine the cyclotomic fields over which there exists a modular ideal lattice. We then study an especially simple class of lattices, the ideal lattices of trace type. The paper gives a complete list of modular ideal lattices of trace type defined...
Cyclotomic quadratic forms
Voronoï ’s algorithm is a method for obtaining the complete list of perfect -dimensional quadratic forms. Its generalization to -forms has the advantage of running in a lower-dimensional space, and furnishes a finite, and complete, classification of -perfect forms ( is a finite subgroup of . We study the standard, -dimensional irreducible representation of the cyclic group of order , and give the, often new, densest -forms. Perfect cyclotomic forms are completely classified for and for...