Zinchenko, N. A. Two binary additive problems. (Russian. English summary) Zbl 1118.11035 Sib. Èlektron. Mat. Izv. 3, 352-354 (2006). Summary: We study two binary additive problems involving natural numbers \(n\) with two different prime divisors and additional condition \(\{\frac12 n^{1/c}\}<\frac12\), where \(c\) is a real number \((1<c\leq 2)\). MSC: 11J71 Distribution modulo one 11K06 General theory of distribution modulo \(1\) Keywords:Bombieri-Vinogradov type theorem; prime number; hybrid of theorems of Vinogradov and Piatetski-Shapiro PDFBibTeX XMLCite \textit{N. A. Zinchenko}, Sib. Èlektron. Mat. Izv. 3, 352--354 (2006; Zbl 1118.11035) Full Text: EuDML