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.
On Even Unimodular Positive Definite Quadratic Lattices of Rank 32.
On existence of tame Harrison map
On expections of integral quadratic forms.
On Fourier coefficients of Siegel modular forms.
On indecomposable quadratic forms.
On indefinite binary quadratic forms and quadratic ideals.
On indefinite quadratic forms in four variables
On integral representations by totally positive ternary quadratic forms
Let be a totally real algebraic number field whose ring of integers is a principal ideal domain. Let be a totally definite ternary quadratic form with coefficients in . We shall study representations of totally positive elements by . We prove a quantitative formula relating the number of representations of by different classes in the genus of to the class number of , where is a constant depending only on . We give an algebraic proof of a classical result of H. Maass on representations...
On integral Witt equivalence of algebraic number fields
On Invariant Measures, Minimal Sets and a Lemma of Margulies.
On Modular Forms Associated with Indefinite Quadratic Forms of Signature (2, n ?2).