On the Weil-Siegel formula.
On the Weil-Siegel formula II.
On the Witt ring of a relative projective line
On the Witt rings of function fields of quasihomogeneous varieties
On theta series vanishing at ∞ and related lattices
On Trace Forms of Algebraic Number Fields.
On trace forms of étale algebras and field extensions.
On trace forms of hilbertian fields.
On traces of the Brandt-Eichler matrices
We compute the numbers of locally principal ideals with given norm in a class of definite quaternion orders and the traces of the Brandt-Eichler matrices corresponding to these orders. As an application, we compute the numbers of representations of algebraic integers by the norm forms of definite quaternion orders with class number one as well as we obtain class number relations for some CM-fields.
On universal binary Hermitian forms.
On vanishing theorems for trace forms
On volumes of arithmetic quotients of
We apply G. Prasad’s volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of . As a result we prove that for any even dimension there exists a unique compact arithmetic hyperbolic -orbifold of the smallest volume. We give a formula for the Euler-Poincaré characteristic of the orbifolds and present an explicit description of their fundamental groups as the stabilizers of certain lattices in quadratic spaces. We...
On weak automorphs of binary forms over an arbitrary field [Book]
On Witt rings of function fields of real analytic surfaces and curves.
Let V be a paracompact connected real analytic manifold of dimension 1 or 2, i.e. a smooth curve or surface. We consider it as a subset of some complex analytic manifold VC of the same dimension. Moreover by a prime divisor of V we shall mean the irreducible germ along V of a codimension one subvariety of VC which is an invariant of the complex conjugation. This notion is independent of the choice of the complexification VC. In the one-dimensional case prime divisors are just points, in the two-dimensional...
On zeros of diagonal forms over p-adic fields
On zeros of forms over local fields
One-class genera of positive quadratic forms in at least five variables
One-class genera of positive quaternary quadratic forms
One-class spinor genera of positive quadratic forms
Orbit closures of generic unipotent flows on homogeneous spaces of SL (3, IR).