The ternary Goldbach problem with prime numbers of a mixed type

Abstract

In the present paper we prove that every sufficiently large odd integer $N$ can be represented in the form \begin{equation*} N=p_1+p_2+p_3\,, \end{equation*} where $p_1,p_2,p_3$ are primes, such that $p_1=x^2+y^2+1$, $p_2=[n^c]$.

References in corpus (1)

• The Goldbach Problem for Primes That Are Sums of Two Squares Plus One

Cited by in corpus (1)

• Diophantine approximation with one prime of the form $p=x^2+y^2+1$