On some improvements of the Brun-Titchmarsh theorem

Yoichi MOTOHASHI

doi:10.2969/jmsj/02620306

Yoichi MOTOHASHI

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JOURNAL FREE ACCESS

1974 Volume 26 Issue 2 Pages 306-323

DOI https://doi.org/10.2969/jmsj/02620306

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Published: 1974 Received: November 28, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) E. Bombieri, A remark on the large sieve, Proc. Rome Number Theory Conference, 1968.
2) E. Bombieri and H. Davenport, On the large sieve method, Abh. aus Zahlentheorie and Analysis zur Erinnerung an Edmund Landau, Deut. Verlag Wiss., Berlin, 1968, 11-22.
3) D. A. Burgess, On character sums and L-series, II, Proc. London Math. Soc., (3) 13 (1963), 524-536.
4) P. X. Gallagher, A large sieve density estimate near σ=1, Invent. Math., 11 (1970), 329-339.
5) C. Hooley, On the Brun-Titchmarsh theorem, J. Reine Angew. Math., 255 (1972), 60-79.
6) N. I. Klimov, Almost prime numbers, Amer. Math. Soc. Transl., (2) 46 (1965), 48-56.
7) A. F. Lavrik, The approximate functional equation for Dirichlet L-functions, Trans. Moscow Math. Soc., 18 (1968), 101-115.
8) J. H. van Lint and H. E. Richert, On primes in arithmetic progressions, Acta Arith., 11 (1965), 209-216.
9) H. L. Montgomery, Topics in multiplicative number theory, Springer, Berlin, 1971.
10) K. Pracher, Primzahlverteilung, Springer, Berlin, 1957.

Right : [1] E. Bombieri, A remark on the large sieve, Proc. Rome Number Theory Conference, 1968.
[2] E. Bombieri and H. Davenport, On the large sieve method, Abh. aus Zahlentheorie and Analysis zur Erinnerung an Edmund Landau, Deut. Verlag Wiss., Berlin, 1968, 11-22.
[3] D. A. Burgess, On character sums and L-series, II, Proc. London Math. Soc., (3) 13 (1963), 524-536.
[4] P. X. Gallagher, A large sieve density estimate near σ=1, Invent. Math., 11 (1970), 329-339.
[5] C. Hooley, On the Brun-Titchmarsh theorem, J. Reine Angew. Math., 255 (1972), 60-79.
[6] N. I. Klimov, Almost prime numbers, Amer. Math. Soc. Transl., (2) 46 (1965), 48-56.
[7] A. F. Lavrik, The approximate functional equation for Dirichlet L-functions, Trans. Moscow Math. Soc., 18 (1968), 101-115.
[8] J. H. van Lint and H. E. Richert, On primes in arithmetic progressions, Acta Arith., 11 (1965), 209-216.
[9] H. L. Montgomery, Topics in multiplicative number theory, Springer, Berlin, 1971.
[10] K. Pracher, Primzahlverteilung, Springer, Berlin, 1957.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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