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Volumn 69, Issue 231, 2000, Pages 1285-1296

A new bound for the smallest cursive Greek chi with π(cursive Greek chi) > li(cursive Greek chi)

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EID: 0040735756     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (33)

References (30)
  • 1
    • 0039066633 scopus 로고    scopus 로고
    • Zeroes of Dirichlet L-functions and irregularities in the distribution of primes
    • posted on March PII: S 0025-5718(99)01105-9 (to appear in print)
    • Carter Bays and Richard H. Hudson, Zeroes of Dirichlet L-functions and irregularities in the distribution of primes, Math. Comp., posted on March 10, 1999, PII: S 0025-5718(99)01105-9 (to appear in print).
    • (1999) Math. Comp. , vol.10
    • Bays, C.1    Hudson, R.H.2
  • 3
    • 0030372832 scopus 로고    scopus 로고
    • Computing π(cursive Greek chi): The Meissel, Lehmer, Lagarias, Miller, Odlyzko method
    • M. Deléglise and J. Rivat, Computing π(cursive Greek chi): The Meissel, Lehmer, Lagarias, Miller, Odlyzko method, Math. Comp. 65 (1996), 235 245. MR 96d:11139
    • (1996) Math. Comp. , vol.65 , pp. 235-245
    • Deléglise, M.1    Rivat, J.2
  • 4
    • 0030372832 scopus 로고    scopus 로고
    • M. Deléglise and J. Rivat, Computing π(cursive Greek chi): The Meissel, Lehmer, Lagarias, Miller, Odlyzko method, Math. Comp. 65 (1996), 235 245. MR 96d:11139
    • MR , vol.96 D , pp. 11139
  • 6
    • 0039705517 scopus 로고    scopus 로고
    • H. M. Edwards Riemann's zeta function, Academic Press, New York, 1974. MR 57:5922
    • MR , vol.57 , pp. 5922
  • 7
    • 84968496211 scopus 로고    scopus 로고
    • On the incompatibility of two conjectures concerning primes
    • Ian Richards, On the incompatibility of two conjectures concerning primes, Bull. Amer. Math. Soc. 80 (1974), 419-438. MR 49:2601
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 419-438
    • Richards, I.1
  • 8
    • 84968496211 scopus 로고    scopus 로고
    • Ian Richards, On the incompatibility of two conjectures concerning primes, Bull. Amer. Math. Soc. 80 (1974), 419-438. MR 49:2601
    • MR , vol.49 , pp. 2601
  • 9
    • 84966211722 scopus 로고    scopus 로고
    • Averaging effects on irregularities in the distribution of primes in arithmetic progressions
    • Richard H. Hudson, Averaging effects on irregularities in the distribution of primes in arithmetic progressions, Math. Comp. 44 (1985), 561-571. MR 86h:11074
    • (1985) Math. Comp. , vol.44 , pp. 561-571
    • Hudson, R.H.1
  • 10
    • 84966211722 scopus 로고    scopus 로고
    • Richard H. Hudson, Averaging effects on irregularities in the distribution of primes in arithmetic progressions, Math. Comp. 44 (1985), 561-571. MR 86h:11074
    • MR , vol.86 H , pp. 11074
  • 11
    • 0004281971 scopus 로고
    • Cambridge University Press, Cambridge, 1932; reprint
    • A. E. Ingham, The distribution of prime numbers, Cambridge University Press, Cambridge, 1932; reprint, 1990. MR 91f:11064
    • (1990) The Distribution of Prime Numbers
    • Ingham, A.E.1
  • 12
    • 0039658782 scopus 로고    scopus 로고
    • A. E. Ingham, The distribution of prime numbers, Cambridge University Press, Cambridge, 1932; reprint, 1990. MR 91f:11064
    • MR , vol.91 F , pp. 11064
  • 13
    • 84966248302 scopus 로고    scopus 로고
    • Computing π(cursive Greek chi): The Meissel-Lehmer method
    • Jeff Lagarias, Victor Miller, and Andrew Odlyzko, Computing π(cursive Greek chi): The Meissel-Lehmer method, Math. Comp. 44 (1985), 537-560. MR 86h:11111
    • (1985) Math. Comp. , vol.44 , pp. 537-560
    • Lagarias, J.1    Miller, V.2    Odlyzko, A.3
  • 14
    • 84966248302 scopus 로고    scopus 로고
    • Jeff Lagarias, Victor Miller, and Andrew Odlyzko, Computing π(cursive Greek chi): The Meissel-Lehmer method, Math. Comp. 44 (1985), 537-560. MR 86h:11111
    • MR , vol.86 H , pp. 11111
  • 15
    • 0040757506 scopus 로고
    • On the difference π(cursive Greek chi) - li(cursive Greek chi)
    • R. Sherman Lehman, On the difference π(cursive Greek chi) - li(cursive Greek chi), Acta Arith. 11 (1966), 397-410. MR 34:2546
    • (1966) Acta Arith. , vol.11 , pp. 397-410
    • Lehman, R.S.1
  • 16
    • 0040250524 scopus 로고    scopus 로고
    • R. Sherman Lehman, On the difference π(cursive Greek chi) - li(cursive Greek chi), Acta Arith. 11 (1966), 397-410. MR 34:2546
    • MR , vol.34 , pp. 2546
  • 17
    • 0001651390 scopus 로고
    • Sur la distribution des nombres premiers
    • J. E. Littlewood, Sur la distribution des nombres premiers, C. R. Acad. Sci. Paris 158 (1914), 1869-1872.
    • (1914) C. R. Acad. Sci. Paris , vol.158 , pp. 1869-1872
    • Littlewood, J.E.1
  • 18
    • 84966203701 scopus 로고    scopus 로고
    • On the zeros of the Riemann zeta function in the critical strip. IV
    • J. van de Lune, J. J. te Riele, and D. T. Winter, On the zeros of the Riemann zeta function in the critical strip. IV, Math. Comp. 46 (1986), 667-681. MR. 87e:11102
    • (1986) Math. Comp. , vol.46 , pp. 667-681
    • Van De Lune, J.1    Te Riele, J.J.2    Winter, D.T.3
  • 19
    • 84966203701 scopus 로고    scopus 로고
    • J. van de Lune, J. J. te Riele, and D. T. Winter, On the zeros of the Riemann zeta function in the critical strip. IV, Math. Comp. 46 (1986), 667-681. MR. 87e:11102
    • MR , vol.87 E , pp. 11102
  • 21
    • 0039066593 scopus 로고    scopus 로고
    • H. L. Montgomery, The zeta function and prime numbers, Proc. Queen's Number Theory Conf., 1979 Queens Papers in Pure and Applied Mathematics, v. 54, Queen's Univ., Kingston, Ont., 1980, pp. 1-31. MR 82k:10047
    • MR , vol.82 K , pp. 10047
  • 22
    • 84968494049 scopus 로고    scopus 로고
    • On the sign of the difference π(cursive Greek chi) - li(cursive Greek chi)
    • Herman J. J. te Riele, On the sign of the difference π(cursive Greek chi) - li(cursive Greek chi), Math. Comp. 48 (1987), 323-328. MR 88a:11135
    • (1987) Math. Comp. , vol.48 , pp. 323-328
    • Herman, J.J.T.R.1
  • 23
    • 84968494049 scopus 로고    scopus 로고
    • Herman J. J. te Riele, On the sign of the difference π(cursive Greek chi) - li(cursive Greek chi), Math. Comp. 48 (1987), 323-328. MR 88a:11135
    • MR , vol.88 A , pp. 11135
  • 25
    • 0039369767 scopus 로고    scopus 로고
    • Hans Riesel, Prime numbers and computer methods for factorization, Birkhäuser, Boston, 1985. MR 88k:11002
    • MR , vol.88 K , pp. 11002
  • 27
    • 0000103069 scopus 로고    scopus 로고
    • Michael Rubinstein and Peter Sarnak, Chebyshev's bias, Experimental Mathematics 3 (1994), 173-197. MR 96d:11099
    • MR , vol.96 D , pp. 11099
  • 28
    • 0040163419 scopus 로고
    • On the difference π(cursive Greek chi) - li(cursive Greek chi)
    • S. Skewes, On the difference π(cursive Greek chi) - li(cursive Greek chi), J. London Math. Soc. 8 (1933), 277-283.
    • (1933) J. London Math. Soc. , vol.8 , pp. 277-283
    • Skewes, S.1
  • 29
    • 0039066632 scopus 로고
    • On the difference π(cursive Greek chi) - li(cursive Greek chi), II
    • S. Skewes, On the difference π(cursive Greek chi) - li(cursive Greek chi), II, Proc. London Math. Soc. (3) 5 (1955), 48-70. MR 16:676c
    • (1955) Proc. London Math. Soc. (3) , vol.5 , pp. 48-70
    • Skewes, S.1
  • 30
    • 4243836833 scopus 로고    scopus 로고
    • S. Skewes, On the difference π(cursive Greek chi) - li(cursive Greek chi), II, Proc. London Math. Soc. (3) 5 (1955), 48-70. MR 16:676c
    • MR , vol.16


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