On some improvements of the Brun-Titchmarsh theorem

Yoichi MOTOHASHI

doi:10.2969/jmsj/02620306

Yoichi MOTOHASHI

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ジャーナルフリー

1974 年 26 巻 2 号 p. 306-323

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

詳細

Published: 1974 Received: 1972/11/28 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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