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Averaging on thin sets of diagonal forms
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Chow, Sam (2014) Averaging on thin sets of diagonal forms. Journal of Number Theory, 145 . pp. 22-50. doi:10.1016/j.jnt.2014.05.014 ISSN 0022-314X.
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Official URL: https://doi.org/10.1016/j.jnt.2014.05.014
Abstract
We investigate one-dimensional families of diagonal forms, considering the evolution of the asymptotic formula and error term. We then discuss properties of the average asymptotic formula obtained. The subsequent second moment analysis precipitates an effective means of computing p-adic densities of zeros for large primes p.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Hardy-Littlewood method, Diophantine equations | ||||||||
| Journal or Publication Title: | Journal of Number Theory | ||||||||
| Publisher: | Academic Press | ||||||||
| ISSN: | 0022-314X | ||||||||
| Official Date: | December 2014 | ||||||||
| Dates: |
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| Volume: | 145 | ||||||||
| Page Range: | pp. 22-50 | ||||||||
| DOI: | 10.1016/j.jnt.2014.05.014 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 20 September 2019 | ||||||||
| Date of first compliant Open Access: | 20 September 2019 | ||||||||
| Open Access Version: |
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