A note on the Hasse principle
A note on the Hasse principle. Addenda
A note on the pp conjecture for sheaves of spaces of orderings
In this note we provide a direct and simple proof of a result previously obtained by Astier stating that the class of spaces of orderings for which the pp conjecture holds true is closed under sheaves over Boolean spaces.
A note on the representability of quaternary quadratic forms as sums of squares of two linear forms
A problem of Erdös on sums of two squarefull numbers
A purity theorem for the Witt group
A quantitative version of Hurwitz' theorem on the arithmetic-geometric inequality.
A question on the discriminants of involutions of central division algebras.
A Reciprocity Formula for Quadratic Forms.
A Recursive Description of the Maximal Pro-2 Galois Group Via Witt Rings.
A Remark on Kitaoka formal power series attached to local densities.
A Remark on Quadratic Spaces over Noncommutative Semilocal Rings.
A remark on the quadratic analogue of the Quillen-Suslin theorem.
A restricted Epstein zeta function and the evaluation of some definite integrals
A short proof of Rost nilpotence via refined correspondences.
A spectral analysis of automorphic distributions and Poisson summation formulas
Automorphic distributions are distributions on , invariant under the linear action of the group . Combs are characterized by the additional requirement of being measures supported in : their decomposition into homogeneous components involves the family , of Eisenstein distributions, and the coefficients of the decomposition are given as Dirichlet series . Functional equations of the usual (Hecke) kind relative to turn out to be equivalent to the invariance of the comb under some modification...
A spectral gap theorem in SU
We establish the spectral gap property for dense subgroups of SU, generated by finitely many elements with algebraic entries; this result was announced...
A splitting theorem for quadratic forms.
A tutorial on conformal groups
Our concern is with the group of conformal transformations of a finite-dimensional real quadratic space of signature (p,q), that is one that is isomorphic to , the real vector space , furnished with the quadratic form , and especially with a description of this group that involves Clifford algebras.
A weak Hasse principle for central simple algebras with an involution.