On the analytic theory of isotropic ternary quadratic forms II
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917714790973440 |
|---|---|
| author | Duke, William |
| author_facet | Duke, William |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the analytic theory of isotropic ternary quadratic forms II Duke, William Number Theory 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. |
| title | On the analytic theory of isotropic ternary quadratic forms II |
| topic | Number Theory |
| url | https://arxiv.org/abs/2407.05476 |