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

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  • Gadiyar, H.Gopalkrishna
  • Padma, R.

Abstract

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.

Suggested Citation

  • Gadiyar, H.Gopalkrishna & Padma, R., 1999. "Ramanujan–Fourier series, the Wiener–Khintchine formula and the distribution of prime pairs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(2), pages 503-510.
    • Handle: RePEc:eee:phsmap:v:269:y:1999:i:2:p:503-510
    DOI: 10.1016/S0378-4371(99)00171-5
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    References listed on IDEAS

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    1. Wolf, Marek, 1998. "Random walk on the prime numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 250(1), pages 335-344.
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    Cited by:

    1. Wolf, Marek, 1999. "Applications of statistical mechanics in number theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 149-157.
    2. H. Gopalakrishna Gadiyar & M. Ram Murty & R. Padma, 2014. "Ramanujan — Fourier series and a theorem of Ingham," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(5), pages 691-706, October.

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