On Some Questions of Partitio Numerorum: Tres Cubi

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Abstract

This paper is concerned with the function r3(n), the number of representations of n as the sum of at most three positive cubes, [EQUATION PRESENTED] Our understanding of this function is surprisingly poor, and we examine various averages of it. In particular [EQUATION PRESENTED]2010 Mathematics Subject Classification. 11P05, 11P21, 11P32, 11N36.

Original languageEnglish (US)
JournalGlasgow Mathematical Journal
DOIs
StateAccepted/In press - Jan 1 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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