Perfect unary forms over real quadratic fields

To obtain these results, we use the general theory of two dimensional inhomoge- neous lattices developed in Barnes and Swinnerton-Dyer [1] (henceforth this paper

The probabilistic version of cyclic normal form is defined by replacing the only nondeterministic choice by a probabilistic distribution, on all the states in the cycles, namely,

will use the notation (r, s) --~ The rest of that section is devoted in each case to the characterization of the representation space, the calculation of its

will use the notation (r, s) --~ The rest of that section is devoted in each case to the characterization of the representation space, the calculation of its

By (4.6) and (5.1), the Bhaskara condition implies the Brandt condi- tion for primitive regular quaternary quadratic modules.. The converse is however not true in

It provides the well-known relation between the class numbers of local and global embeddings, and collects the formulas for the class number of local embeddings given in

Soit X un sch´ema projectif sur un corps alg´ebriquement clos de caract´eristique 6= 2. Cette application est surjective puisque γ est partout non nulle.. est l’application

We extend field patching to the setting of Berkovich analytic geometry and use it to prove a local-global principle over function fields of analytic curves with respect to