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arXiv · 1504.00531

Primes values of $a^2 + p^4$

D. R. Heath-Brown·Xiannan Li
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Abstract

We prove an asymptotic formula for the number of primes of the shape $a^2 +p^4$, thereby refining the well known work of Friedlander and Iwaniec. Along the way, we prove a result on equidistribution of primes up to $x$, in which the moduli may be almost as large as $x^2$.

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D. R. Heath-Brown, Xiannan Li. 2015-04-02. Primes values of $a^2 + p^4$. https://arxiv.org/abs/1504.00531

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