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

被引:29
|
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
收藏
页码:503 / 510
页数:8
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