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arXiv · 2407.05476

On the analytic theory of isotropic ternary quadratic forms II

William Duke
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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.

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William Duke. 2024-07-07. On the analytic theory of isotropic ternary quadratic forms II. https://arxiv.org/abs/2407.05476

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