On a version of the Hua problem
type: Item
instance of: scholarly article
title: On a version of the Hua problem
zbMATH Open document ID: 1233.11105
DOI: 10.1134/S0001434610090099
author: A. Kirkoryan
author: Doychin I. Tolev
published in: Mathematical Notes
publication date: 2011-11-25T00:00:00Z
review text: The authors prove that almost all natural numbers satisfying necessary congruence conditions can be written as the sum of three squares of primes, at least one of which is of the form \(1+x^2+y^2\). The proof is an adaption of the second author's work [see Acta Arith. 142, No. 2, 169--178 (2010; Zbl 1213.11174) and J. Number Theory 130, No. 2, 439--457 (2010; Zbl 1230.11128)] on similar variants of the Goldbach problem.
Mathematics Subject Classification ID: 11P32
Mathematics Subject Classification ID: 11P55
zbMATH DE Number: 5980679
zbMATH Keywords: Waring-Goldbach problem
zbMATH Keywords: Hua problem
reviewed by: Kaisa Matomäki
MaRDI profile type: Publication
cites work: SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY
cites work: Additive problems with prime numbers of special type
cites work: Q3279351
cites work: On the representation of a number as the sum of two squares and a prime
cites work: Q3279348
cites work: Q4092051
cites work: The binary Goldbach problem with one prime of the form \(p=k^2+l^2+1\)
cites work: The binary Goldbach problem with arithmetic weights attached to one of the variables
cites work: The ternary Goldbach problem with arithmetic weights attached to two of the variables
cites work: Q3903082
cites work: The Distribution of αp 2 Modulo 1
cites work: Lagrange's Four Squares Theorem with almost prime variables.
cites work: Q4888817
description: scientific article; zbMATH DE number 5980679