On a Property of Siegel Theta-Series.
On a Relation Satisfied by Fourier Coefficients of Theta-Series of Degree One and Two.
On a theorem in Covariants
On a theorem of Waldspurger and on Eisenstein series of Klingen type.
On an isotropy criterion for quadratic forms over function fields of curves over non-dyadic complete discrete valuation rings
Harbater, Hartmann and Krashen obtained in 2015 a criterion for the existence of rational points on projective (or principal) homogeneous varieties for rational connected algebraic groups defined over function fields of normal curves over a complete discrete valuation ring in terms of completions of local rings at special points. This was obtained by a reduction via Artin approximation to a related patching problem solved by the same authors in 2009. In the special case of projective quadrics, we...
On automorphism groups of -adic Schottky curves
On basis problem for Siegel modular forms of degree 2
On binary quartic forms.
On Bröcker's t-invariant and separating families for constructible sets.
On certain problems in the analytical arithmetic of quadratic forms arising from the theory of curves of genus 2 with elliptic differentials.
On C-Minimal Forms.
On compositions and triality.
On Cubic Polynomials II. Multiple Exponential Sums.
On Cubic Polynomials III. Systems of p-adic Equations.
On Cubic Polynomials IV. Systems of Rational Equations.
On Eisenstein's problem
On elementary equivalence, isomorphism and isogeny
Motivated by recent work of Florian Pop, we study the connections between three notions of equivalence of function fields: isomorphism, elementary equivalence, and the condition that each of a pair of fields can be embedded in the other, which we call isogeny. Some of our results are purely geometric: we give an isogeny classification of Severi-Brauer varieties and quadric surfaces. These results are applied to deduce new instances of “elementary equivalence implies isomorphism”: for all genus zero...
On embedding numbers into quaternion orders.
On entire modular forms of half-integral weight on the congruence subgroup .
On Epstein's Zeta-function.