메뉴 건너뛰기




Volumn 95, Issue 3, 2007, Pages 653-686

Higher correlations of divisor sums related to primes III: Small gaps between primes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 44649130283     PISSN: 00246115     EISSN: 1460244X     Source Type: Journal    
DOI: 10.1112/plms/pdm021     Document Type: Article
Times cited : (21)

References (24)
  • 1
    • 0002541182 scopus 로고
    • Small differences between prime numbers
    • E. BOMBIERI and H. DAVENPORT, 'Small differences between prime numbers', Proc. Roy. Soc. Ser. A 293 (1966) 1-18.
    • (1966) Proc. Roy. Soc. Ser. A , vol.293 , pp. 1-18
    • BOMBIERI, E.1    DAVENPORT, H.2
  • 2
    • 0000189165 scopus 로고
    • Primes in arithmetic progressions to large moduli
    • E. BOMBIERI, J. B. FRIEDLANDER and H. IWANIEC, 'Primes in arithmetic progressions to large moduli', Acta Math. 156 (1986) 203-251.
    • (1986) Acta Math , vol.156 , pp. 203-251
    • BOMBIERI, E.1    FRIEDLANDER, J.B.2    IWANIEC, H.3
  • 3
    • 21844504037 scopus 로고
    • Some new asymptotic properties for the zeros of Jacobi, Laguerre and Hermite polynomials
    • H. DETTE and W. J. STUDDEN, 'Some new asymptotic properties for the zeros of Jacobi, Laguerre and Hermite polynomials', Constr. Approx. 11 (1995) 227-238.
    • (1995) Constr. Approx , vol.11 , pp. 227-238
    • DETTE, H.1    STUDDEN, W.J.2
  • 4
    • 0012492596 scopus 로고
    • The difference of consecutive primes
    • P. ERDOS, 'The difference of consecutive primes', Duke Math. J. 6 (1940) 438-441.
    • (1940) Duke Math. J , vol.6 , pp. 438-441
    • ERDOS, P.1
  • 5
    • 0002745306 scopus 로고
    • On the distribution of primes in short intervals
    • P. X. GALLAGHER, 'On the distribution of primes in short intervals', Mathematika 23 (1976) 4-9.
    • (1976) Mathematika , vol.23 , pp. 4-9
    • GALLAGHER, P.X.1
  • 6
    • 84976129439 scopus 로고
    • On Bombieri and Davenport's theorem concerning small gaps between primes'
    • D. A. GOLDSTON, 'On Bombieri and Davenport's theorem concerning small gaps between primes', Mathematika 39 (1992) 10-17.
    • (1992) Mathematika , vol.39 , pp. 10-17
    • GOLDSTON, D.A.1
  • 9
    • 85027219567 scopus 로고    scopus 로고
    • D. A. GOLDSTON and C. Y. YILDIRIM, 'Higher correlations of divisor sums related to primes. I: triple correlations', Integers 3 (2003) A5, 66 pp. (electronic).
    • D. A. GOLDSTON and C. Y. YILDIRIM, 'Higher correlations of divisor sums related to primes. I: triple correlations', Integers 3 (2003) A5, 66 pp. (electronic).
  • 12
    • 84871130932 scopus 로고    scopus 로고
    • The primes contain arbitrarily long arithmetic progressions
    • to appear
    • B. GREEN and T. TAO, 'The primes contain arbitrarily long arithmetic progressions', Ann. of Math. to appear.
    • Ann. of Math
    • GREEN, B.1    TAO, T.2
  • 14
    • 33646862107 scopus 로고
    • Some problems of "Partitio Numerorum": III on the expression of a number as a sum of primes
    • G. H. HARDY and J. E. LITTLEWOOD, 'Some problems of "Partitio Numerorum": III on the expression of a number as a sum of primes', Acta Math. 44 (1923) 1-70.
    • (1923) Acta Math , vol.44 , pp. 1-70
    • HARDY, G.H.1    LITTLEWOOD, J.E.2
  • 15
    • 84972344156 scopus 로고
    • Small differences between consecutive primes II
    • M. N. HUXLEY, 'Small differences between consecutive primes II', Mathematilta 24 (1977) 142-152.
    • (1977) Mathematilta , vol.24 , pp. 142-152
    • HUXLEY, M.N.1
  • 16
    • 34548274659 scopus 로고
    • An application of the Fouvry-Iwaniec theorem
    • M. N. HUXLEY, 'An application of the Fouvry-Iwaniec theorem', Acta Arith. XLIII (1984) 441-443.
    • (1984) Acta Arith , vol.43 , pp. 441-443
    • HUXLEY, M.N.1
  • 17
    • 0007107901 scopus 로고
    • Small differences between prime numbers
    • H. MAIER, 'Small differences between prime numbers', Michigan Math. J. 35 (1988) 323-344.
    • (1988) Michigan Math. J , vol.35 , pp. 323-344
    • MAIER, H.1
  • 20
    • 77950663195 scopus 로고
    • The difference between consecutive prime numbers. II
    • R. A. RANKIN, 'The difference between consecutive prime numbers. II', Proc. Cambridge Philos. Soc. 36 (1940) 255-266.
    • (1940) Proc. Cambridge Philos. Soc , vol.36 , pp. 255-266
    • RANKIN, R.A.1
  • 23
    • 85027240391 scopus 로고    scopus 로고
    • E. C. TITCHMARSH, The theory of the Riemann zeta-function, 2nd edn, edited and with a preface by D. R. Heath-Brown (The Clarendon Press, Oxford University Press, New York, 1986).
    • E. C. TITCHMARSH, The theory of the Riemann zeta-function, 2nd edn, edited and with a preface by D. R. Heath-Brown (The Clarendon Press, Oxford University Press, New York, 1986).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.