The density of integers representable as the sum of four prime cubes

Christian Elsholtz; Jan Christoph Schlage-Puchta

doi:10.4064/AA180827-26-2

The density of integers representable as the sum of four prime cubes

Christian Elsholtz, Jan Christoph Schlage-Puchta

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

The set of integers which can be written as the sum of four prime cubes has lower density at least 0.009664. This improves earlier bounds of 0.003125 by Ren, and 0.005776 by Liu

Originalsprache	englisch
Seiten (von - bis)	363-369
Seitenumfang	7
Fachzeitschrift	Acta Arithmetica
Jahrgang	192
Ausgabenummer	4
DOIs	https://doi.org/10.4064/AA180827-26-2
Publikationsstatus	Veröffentlicht - 1 Jan. 2020

ASJC Scopus subject areas

Algebra und Zahlentheorie

Fields of Expertise

Information, Communication & Computing

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10.4064/AA180827-26-2

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abstract = "The set of integers which can be written as the sum of four prime cubes has lower density at least 0.009664. This improves earlier bounds of 0.003125 by Ren, and 0.005776 by Liu",

keywords = "Applications of sieve methods, Goldbach–Waring problem, Sums of cubes",

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KW - Applications of sieve methods

KW - Goldbach–Waring problem

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M3 - Article

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The density of integers representable as the sum of four prime cubes

Abstract

ASJC Scopus subject areas

Fields of Expertise

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