论文标题
关于Goldbach猜想与Elliott-Halberstam猜想之间的联系
On the connection between the Goldbach conjecture and the Elliott-Halberstam conjecture
论文作者
论文摘要
在本文中，我们证明，二进制的戈德巴赫猜想甚至是足够大的整数都可以遵循的假设是，埃利奥特 - 汉堡队的猜想和埃利奥特·霍尔伯斯坦（Elliott-Halberstam）的变体都被莫比乌斯（Möbius Vatwani在2017年。
In this paper we prove that the binary Goldbach conjecture for sufficiently large even integers would follow under the assumption that both the Elliott-Halberstam conjecture and a variant of the Elliott-Halberstam conjecture twisted by the Möbius function hold, in which the sum of their levels of distribution exceeds 1. This continues the work of Pan in 1982. An analogous result for the twin prime conjecture is obtained by Ram Murty and Vatwani in 2017.
