English

On primes represented by quartic polynomials on average

Number Theory 2019-08-27 v1

Abstract

We obtain an upper bound for the distribution of primes in the form n4+kn^4 + k up to xx, averaged over kk with small square-full part. As a corollary, we show that for almost all kk, there is an expected amount of primes in the form n4+kn^4 +k up to xx.

Keywords

Cite

@article{arxiv.1908.09439,
  title  = {On primes represented by quartic polynomials on average},
  author = {Kam Hung Yau},
  journal= {arXiv preprint arXiv:1908.09439},
  year   = {2019}
}