A characterization of tame Hilbert-symbol equivalence
A computation of the Witt index for rational quadratic forms.
A Hasse principle for two dimensional global fields.
A new form of the circle method, and its application to quadratic forms.
A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables
A note on the Hasse principle
Almost regular quaternary quadratic forms
We investigate the almost regular positive definite integral quaternary quadratic forms. In particular, we show that every such form is -anisotropic for at most one prime number . Moreover, for a prime there is an almost regular -anisotropic quaternary quadratic form if and only if . We also study the genera containing some almost regular -anisotropic quaternary form. We show several finiteness results concerning the families of these genera and give effective criteria for almost regularity....
An arithmetic problem on the sums of three squares
An arithmetical property of quadratic forms.
An Artin Character and Represenattions of Primes by Binary Quadratic Forms.
An effective p-adic analogue of a theorem of Thue II. The greatest prime factor of a binary form
Appendix to Kazuya Kato: A Hasse principle for two dimensional global fields.
Arf equivalence II
Arithmetical quadratic surfaces of genus 0, I.