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An instance where the major and minor arc integrals meet

Authors :
Bruedern, Joerg
Wooley, Trevor D.
Publication Year :
2019

Abstract

We apply the circle method to obtain an asymptotic formula for the number of integral points on a certain sliced cubic hypersurface related to the Segre cubic. Unusually, the major and minor arc integrals in this application are both positive and of the same order of magnitude.<br />Comment: 17 pages

Subjects

Subjects :
Mathematics - Number Theory
11D72, 11L15, 11L07, 11P55, 11E76

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1902.05155
Document Type :
Working Paper
Full Text :
https://doi.org/10.1112/blms.12291
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