2 papers
math.NT2024
On the analytic theory of isotropic ternary quadratic forms II
William Duke
In the first part of this work \cite{Du}, a quantitative supplement to the Hasse principle was given for the count of the number of automorphic orbits of primitive zeros of a genus…
math.NT2024
On the arithmetic of polynomials over a number field
William Duke
Counterparts of several classical results of number theory are proven for the ring of polynomials with coefficients in a number field. A theorem of Milnor that determines the Witt…