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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

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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
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:
DateEvent
December 2014Published
3 July 2014Available
7 May 2014Accepted
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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