Symplectic classification of quadratic forms, and general Mehler formulas.
Systeme quadratischer Formen III.
Systems of Homogeneous Equations.
Systems of quadratic forms.
Systems of quadratic forms
Tables de réseaux entiers unimodulaires construits comme -voisins de
Cet article énumère les réseaux entiers unimodulaires de dimension , vus comme -voisins de . La première partie contient les informations nécessaires pour lire et pour travailler avec les tables. Elle ne contient aucune preuve. La deuxième partie est formée de tables qui contiennent les données numériques pour les réseaux unimodulaires entiers indécomposable de dimension . Un appendice esquisse les preuves des énoncés.
Tamely ramified supercuspidal representations of classical groups. II. Representation theory
Tamely ramified supercuspidal representations of classical groups. I. Filtrations
Ten problems on quadratic forms
Tensor Products and Discriminants of Unital Quadratic Forms over Commutative Rings.
Tensor products of Clifford modules and linear maximal Cohen-Macaulay modules on quadrics
Tensor products of positive definite quadratic forms. II.
Ternary positive quadratic forms that represent all odd positive integers
Ternary quadratic forms ax² + by² + cz² representing all positive integers 8k + 4
Under the assumption that the ternary form x² + 2y² + 5z² + xz represents all odd positive integers, we prove that a ternary quadratic form ax² + by² + cz² (a,b,c ∈ ℕ) represents all positive integers n ≡ 4(mod 8) if and only if it represents the eight integers 4,12,20,28,52,60,140 and 308.
Ternary quadratic forms that represent zero: the function field case
Ternary quadratic forms with rational zeros
We consider the Legendre quadratic formsand, in particular, a question posed by J–P. Serre, to count the number of pairs of integers , for which the form has a non-trivial rational zero. Under certain mild conditions on the integers , we are able to find the asymptotic formula for the number of such forms.
The 27-dimensional module for E6. I.
The Adelic Zeta Function Associated to the Space of Binary Cubis Forms. Part I: Global Theory.
The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
The binomial theorem for hypercomplex numbers.