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Volumn 269, Issue 2, 1999, Pages 503-510

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

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FUNCTIONS; MATHEMATICAL MODELS; RANDOM PROCESSES; THEOREM PROVING;

EID: 0032634607     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00171-5     Document Type: Article
Times cited : (34)

References (12)
  • 2
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    • On certain trigonometrical sums and their applications in the theory of numbers
    • Ramanujan S. On certain trigonometrical sums and their applications in the theory of numbers. Trans. Camb. Phil. Soc. 22:1918;259.
    • (1918) Trans. Camb. Phil. Soc. , vol.22 , pp. 259
    • Ramanujan, S.1
  • 3
    • 0344234900 scopus 로고
    • q(n) and certain series of arithmetical functions
    • q(n) and certain series of arithmetical functions Proc. Camb. Phil. Soc. 20:1921;263.
    • (1921) Proc. Camb. Phil. Soc. , vol.20 , pp. 263
    • Hardy, G.H.1
  • 4
    • 84960570122 scopus 로고
    • Expansions of arithmetical functions in infinite series
    • Carmichael R.D. Expansions of arithmetical functions in infinite series. Proc. London Math. Soc. 34(2):1932;1.
    • (1932) Proc. London Math. Soc. , vol.34 , Issue.2 , pp. 1
    • Carmichael, R.D.1
  • 5
    • 33646862107 scopus 로고
    • Some problems of Partition Numerorum; III: On the expression of a number as a sum of primes
    • Hardy G.H., Littlewood J.E. Some problems of Partition Numerorum; III: On the expression of a number as a sum of primes. Acta Math. 44:1922;1.
    • (1922) Acta Math. , vol.44 , pp. 1
    • Hardy, G.H.1    Littlewood, J.E.2
  • 7
    • 84966261168 scopus 로고
    • Elementary methods in the study of the distribution of prime numbers
    • Diamond H.G. Elementary methods in the study of the distribution of prime numbers. Bull. (New Series) Amer. Math. Soc. 7:1982;553.
    • (1982) Bull. (New Series) Amer. Math. Soc. , vol.7 , pp. 553
    • Diamond, H.G.1
  • 8
    • 0003605315 scopus 로고
    • Statistical Independence in Probability, Analysis and Number Theory
    • The Mathematical Association of America
    • M. Kac, Statistical Independence in Probability, Analysis and Number Theory, The Carus Mathematical Monograph No. 12, The Mathematical Association of America, 1964.
    • (1964) The Carus Mathematical Monograph No. 12
    • Kac, M.1
  • 9
    • 0343980157 scopus 로고
    • Prime numbers and Brownian motion
    • Billingsley P. Prime numbers and Brownian motion. Amer. Math. Monthly. 80:1973;1099.
    • (1973) Amer. Math. Monthly , vol.80 , pp. 1099
    • Billingsley, P.1
  • 10
    • 0031177235 scopus 로고    scopus 로고
    • 1/f noise in the distribution of prime numbers
    • Wolf M. 1/f noise in the distribution of prime numbers Physica. A 241:1997;493.
    • (1997) Physica , vol.241 , pp. 493
    • Wolf, M.1
  • 11
    • 0347570153 scopus 로고    scopus 로고
    • Random walk on the prime numbers
    • Wolf M. Random walk on the prime numbers. Physica. A 250:1998;335.
    • (1998) Physica , vol.250 , pp. 335
    • Wolf, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.