On squares of sums of three cubes

Javier Pliego Garcia

doi:10.1093/qmathj/haaa028

On squares of sums of three cubes

Javier Pliego Garcia^*

^*Corresponding author for this work

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

Abstract

We show that almost every positive integer can be expressed as a sum of four squares of integers represented as the sums of three positive cubes.

Original language	English
Article number	haaa028
Number of pages	17
Journal	Quarterly Journal of Mathematics
DOIs	https://doi.org/10.1093/qmathj/haaa028
Publication status	Published - 29 Jun 2020

Bibliographical note

provisional acceptance date added, based on publication information

Keywords

Waring’s problem
Hardy-Littlewood method

Access to Document

10.1093/qmathj/haaa028

Embargoed Document

Full-text PDF (author’s accepted manuscript)
Accepted author manuscript, 309 KB
Embargo ends: 29/06/21
Request copy

Fingerprint Dive into the research topics of 'On squares of sums of three cubes'. Together they form a unique fingerprint.

Cite this

@article{85f26455af6942cd80a7e45ddd3aa338,

title = "On squares of sums of three cubes",

abstract = "We show that almost every positive integer can be expressed as a sum of four squares of integers represented as the sums of three positive cubes.",

keywords = "Waring{\textquoteright}s problem, Hardy-Littlewood method",

author = "{Pliego Garcia}, Javier",

note = "provisional acceptance date added, based on publication information",

year = "2020",

month = jun,

day = "29",

doi = "10.1093/qmathj/haaa028",

language = "English",

journal = "Quarterly Journal of Mathematics",

issn = "0033-5606",

publisher = "Oxford University Press",

}

TY - JOUR

T1 - On squares of sums of three cubes

AU - Pliego Garcia, Javier

N1 - provisional acceptance date added, based on publication information

PY - 2020/6/29

Y1 - 2020/6/29

N2 - We show that almost every positive integer can be expressed as a sum of four squares of integers represented as the sums of three positive cubes.

AB - We show that almost every positive integer can be expressed as a sum of four squares of integers represented as the sums of three positive cubes.

KW - Waring’s problem

KW - Hardy-Littlewood method

U2 - 10.1093/qmathj/haaa028

DO - 10.1093/qmathj/haaa028

M3 - Article (Academic Journal)

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

SN - 0033-5606

M1 - haaa028

ER -