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arXiv · 1908.09439

On primes represented by quartic polynomials on average

Kam Hung Yau
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Abstract

We obtain an upper bound for the distribution of primes in the form $n^4 + k$ up to $x$, averaged over $k$ with small square-full part. As a corollary, we show that for almost all $k$, there is an expected amount of primes in the form $n^4 +k$ up to $x$.

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Kam Hung Yau. 2019-08-26. On primes represented by quartic polynomials on average. https://arxiv.org/abs/1908.09439

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