On the analytic theory of isotropic ternary quadratic forms II

William Duke

Type: Preprint

Publication Date: 2024-07-07

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2407.05476

Abstract

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 of ternary quadratic forms. This sequel contains, for certain special forms, an independent and elementary proof of this result. When combined with other results of \cite{Du}, this proof also leads to a refinement of an asymptotic result of \cite{Du} and some corollaries for these special forms.

Locations

arXiv (Cornell University) - View - PDF

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