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<p>In the first part of this work [3], 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 [3], this proof also leads to a refinement of an asymptotic result of [3] and some corollaries for these special forms.</p>

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On the analytic theory of isotropic ternary quadratic forms. II

  • 期刊论文

  • 发表日期：

    2026年5月7日

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  • W. Duke

摘要

In the first part of this work [3], 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 [3], this proof also leads to a refinement of an asymptotic result of [3] and some corollaries for these special forms.