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The additive problem with one prime and two squares of primes

Authors :
Lilu Zhao
Source :
Journal of Number Theory. 135:8-27
Publication Year :
2014
Publisher :
Elsevier BV, 2014.

Abstract

Let R ( n ) denote the number of representations of the positive number n as the sum of one prime and two squares of primes. It is established that the anticipated asymptotic formula for R ( n ) fails for at most O ( N 1 / 3 + e ) positive integers not exceeding N.

Details

ISSN :
0022314X
Volume :
135
Database :
OpenAIRE
Journal :
Journal of Number Theory
Accession number :
edsair.doi...........67e037bf01a38d78e395ab2c3055d631