An instance where the major and minor arc integrals meet

Joerg Bruedern; Trevor Wooley

An instance where the major and minor arc integrals meet

Joerg Bruedern
, Trevor Wooley

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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.

Original language	English
Number of pages	17
Journal	arXiv
Publication status	Submitted - 13 Feb 2019

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20190213cublinSubmitted manuscript, 354 KBLicence: Unspecified

https://arxiv.org/abs/1902.05155

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title = "An instance where the major and minor arc integrals meet",

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.",

author = "Joerg Bruedern and Trevor Wooley",

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publisher = "Cornell University",

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T1 - An instance where the major and minor arc integrals meet

AU - Bruedern, Joerg

AU - Wooley, Trevor

PY - 2019/2/13

Y1 - 2019/2/13

N2 - 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.

AB - 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.

M3 - Article (Academic Journal)

JO - arXiv

JF - arXiv

ER -

An instance where the major and minor arc integrals meet

Abstract

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