Primes values of $a^2 + p^4$
Number Theory
2015-11-25 v3
Abstract
We prove an asymptotic formula for the number of primes of the shape , thereby refining the well known work of Friedlander and Iwaniec. Along the way, we prove a result on equidistribution of primes up to , in which the moduli may be almost as large as .
Cite
@article{arxiv.1504.00531,
title = {Primes values of $a^2 + p^4$},
author = {D. R. Heath-Brown and Xiannan Li},
journal= {arXiv preprint arXiv:1504.00531},
year = {2015}
}
Comments
A previous error in the treatment of the bilinear sum has been corrected