On the representation of numbers by the direct sums of some quaternary quadratic forms.
On the representation of rational functions as sums of squares
On the representation of the integer by positive quadratic forms with square-free variables
On the seperation of basic semialgebraic sets by polynomials.
On the Shintani zeta function for the space of binary quadratic forms.
On the size of zeros of quadratic forms over rational function fields.
On the sum of two integral squares in quadratic fields ℚ(√±p)
On the theory of cubic residues and nonresidues
On the two-dimensional theta functions of the Borweins
On the value-distribution of Epstein zeta-functions.
We investigate the value-distribution of Epstein zeta-functions ζ(s; Q), where Q is a positive definite quadratic form in n variables. We prove an asymptotic formula for the number of c-values, i.e., the roots of the equation ζ(s; Q) = c, where c is any fixed complex number. Moreover, we show that, in general, these c-values are asymmetrically distributed with respect to the critical line Re s =n/4. This complements previous results on the zero-distribution.[Proceedings of the Primeras Jornadas...
On the Values of the Dedekind Sum.
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.