Ramanujan-Fourier series, the Wiener-Khintchine formula and the distribution of prime pairs

被引：30

作者：

Gadiyar, HG ^{[1
]}

Padma, R ^{[1
]}

机构：

[1] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, India

来源：

PHYSICA A | 1999年 / 269卷 / 2-4期

关键词：

twin primes; Ramanujan-Fourier series; Wiener-Khintchine formula;

D O I：

10.1016/S0378-4371(99)00171-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Wiener-Khintchine formula plays a central role in statistical mechanics. It is shown here that the problem of prime pairs is related to autocorrelation and hence to a Wiener-Khintchine formula. "Experimental" evidence is given for this. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：503 / 510

页数：8

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