Treffer: Sums of \(s+1\) pseudo \(s\)th powers

Title:
Sums of \(s+1\) pseudo \(s\)th powers
Authors:
Deshouillers, Jean-Marc, Iosifescu, Marius
Publisher Information:
Publishing House of the Romanian Academy (Editura Academiei Române), Bucharest
Subject Terms:
Probabilistic theory: distribution modulo \(1\), metric theory of algorithms, pseudo-power, Waring's problem and variants, random model
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Access URL:
https://zbmath.org/1752466
Accession Number:
edsair.c2b0b933574d..51c91f2deb4c52915d254cd4b555d643
Database:
OpenAIRE

Weitere Informationen

Summary: Consider the Erdős-Rényi random model (see the paper of \textit{P. Erdős} and \textit{A. Rényi} [Acta Arith. 6, 83-110 (1960; Zbl 0091.04401)]) of the sequence of \(s\)th powers, \(s\geq 2\), yielding the so-called pseudo \(s\)th powers. We prove that, almost surely, any integer large enough can be represented as a sum of \(s+1\) pseudo \(s\)th powers.