On the density of the set of even numbers which are not representable as a sum of two odd primes. (Q2598793)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the density of the set of even numbers which are not representable as a sum of two odd primes. |
scientific article |
Statements
On the density of the set of even numbers which are not representable as a sum of two odd primes. (English)
0 references
1938
0 references
Für die Anzahl \(\nu(x)\) der geraden Zahlen \(\leqq x\), welche nicht eine Summe zweier ungeraden Primzahlen sind, beweist Verf.: Für jedes positive \(M\) ist \[ \nu(x)\leqq C\frac x{(\log x)^M}, \] wo \(C\) nur von \(M\) abhängt. Dieser Satz ist inzwischen schon von verschiedenen anderen Autoren bewiesen worden (\textit{Estermann}, Proc. London math. Soc. (2)44 (1938), 307-314; \textit{van der Corput}, Acta arith., Warszawa, 2 (1937), 266-290; F. d. M. \(64_{\text I}\), 126; \(63_{\text{II}}\), 901).
0 references
