Bandi, Prasuna ; Ghosh, Anish ; Han, Jiyoung (2021) A generic effective Oppenheim theorem for systems of forms Journal of Number Theory, 218 . pp. 311-333. ISSN 0022-314X
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Official URL: http://doi.org/10.1016/j.jnt.2020.07.002
Related URL: http://dx.doi.org/10.1016/j.jnt.2020.07.002
Abstract
We prove a uniform effective density theorem as well as an effective counting result for a generic system comprising a polynomial with a mild homogeneous condition and several linear forms using Rogers' second moment formula for the Siegel transform on the space of unimodular lattices.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 123695 |
| Deposited On: | 11 Oct 2021 11:19 |
| Last Modified: | 11 Oct 2021 11:19 |
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