Proceedings of the Japan Academy

A note on the large sieve

Yoichi Motohashi

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 53, Number 1 (1977), 17-19.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195517921

Digital Object Identifier
doi:10.3792/pja/1195517921

Mathematical Reviews number (MathSciNet)
MR0432571

Zentralblatt MATH identifier
0373.10032

Citation

Motohashi, Yoichi. A note on the large sieve. Proc. Japan Acad. 53 (1977), no. 1, 17--19. doi:10.3792/pja/1195517921. https://projecteuclid.org/euclid.pja/1195517921


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References

  • [1] E. Bombieri: Le grand crible dans la theorie analytique des nombres. Soc. Math. France, Asterisque No. 18 (1974).
  • [2] M. Goldf eld: A further improvement of the Brun-Titchmarsh theorem. J. London Math. Soc, 11, 434-444 (1975).
  • [3] M. Jutila: On Linnik's density theorem (unpublished).
  • [4] Y. Motohashi: On some improvements of the Brun-Titchmarsh theorem. J. Math. Soc. Japan, 26, 306-323 (1974).
  • [5] Y. Motohashi: On some improvements of the Brun-Titchmarsh theorem. II. Res. Inst. Math. Sci. Kyoto Univ. Kokyuroku, 193, 97-109 (1973).
  • [6] Y. Motohashi: On a density theorem of Linnik. Proc. Japan Acad., 51, 815-817 (1975).
  • [7] D. Wolke: Eine weitere Moglichkeit zur Verbesserung des Satzes von Brun-Titchmarsh. Manuscript (unpublished).

See also

  • Part II: Yoichi Motohashi. A note on the large sieve, II. Proc. Japan Acad. Ser. A Math. Sci., Volume 53, Number 4 (1977), 122--124.
  • Part III: Yoichi Motohashi. A note on the large sieve, III. Proc. Japan Acad. Ser. A Math. Sci., Volume 55, Number 3 (1979), 92--94.
  • Part IV: Yoichi Motohashi. A note on the large sieve, IV. Proc. Japan Acad. Ser. A Math. Sci., Volume 56, Number 6 (1980), 288--290.