论文标题

代表整数作为素数和两个小因素的乘积

Representing an integer as the sum of a prime and the product of two small factors

论文作者

Baker, Roger, Harman, Glyn

论文摘要

令C> 0.55。每个大N可以以P +AB的形式写入,其中P为Prime,A和B明显小于X^1/2,并且AB小于N^C。这加强了希思棕色的结果,希思棕色的需求C> 3/4。我们介绍了“与两个筛子相交”作为该结果证明的工具的想法。

Let c > 0.55. Every large n can be written in the form p +ab, where p is prime, a and b are significantly smaller than x^1/2 and ab is less than n^c. This strengthens a result of Heath-Brown, which has the requirement c>3/4. We introduce the idea of 'intersecting two sieves' as a tool in the proof of this result.

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