ON LINNIK'S APPROXIMATION TO GOLDBACH'S PROBLEM. II

被引：10

作者：

Pintz, J. ^{[1
]}

Ruzsa, I. Z. ^{[1
]}

机构：

[1] Alfred Renyi Inst Math, Realtanoda U 13-15, H-1053 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2020年 / 161卷 / 02期

关键词：

Linnik-Goldbach problem; primes and powers of two; approximation; to the Goldbach problem; LARGE EVEN INTEGERS; POWERS; REPRESENTATION; NUMBER; PRIMES; SUMS;

D O I：

10.1007/s10474-020-01077-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Linnik considered about 70 years ago the following approximation to the binary Goldbach problem. Is it possible to give a fixed integer K such that every sufficiently large even integer could be written as the sum of two primes and K powers of two? He solved the problem affirmatively with an unspecified large K. The first explicit result (K = 54 000) appeared at the end of the 1990's. In the present work we show that K = 8 powers of two suffices without supposing any unproved hypothesis.

引用

页码：569 / 582

页数：14

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