Proceedings of the Japan Academy, Series A, Mathematical Sciences

A note on the mean value of the zeta and $L$-functions, V

Yoichi Motohashi

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Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 62, Number 10 (1986), 399-401.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195514067

Digital Object Identifier
doi:10.3792/pjaa.62.399

Mathematical Reviews number (MathSciNet)
MR887871

Zentralblatt MATH identifier
0613.10032

Subjects
Primary: 11M06: $\zeta (s)$ and $L(s, \chi)$

Citation

Motohashi, Yoichi. A note on the mean value of the zeta and $L$-functions, V. Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 10, 399--401. doi:10.3792/pjaa.62.399. https://projecteuclid.org/euclid.pja/1195514067


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References

  • [1] F. V. Atkinson: The mean-value of the Riemann zeta-function. Acta Math., 81, 353-376 (1949).
  • [2] R. Balasubramanian, J. B. Conrey, and D. R. Heath-Brown: Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. J. Reine und Angew. Math., 357, 161-181 (1985).
  • [3] H. Iwaniec: On mean values for Dirichlet polynomials and the Riemann zeta-function. J. London Math. Soc, 22(2), 39-45 (1980).
  • [4] Y. Motohashi: A note on the mean value of the zeta and L-functions. I. Proc. Japan Acad., 61 A, 222-224; II. ibid., 313-316 (1985).

See also

  • Part I: Yoichi Motohashi. A note on the mean value of the zeta and $L$-functions, I. Proc. Japan Acad. Ser. A Math. Sci., Volume 61, Number 7 (1985), 222--224.
  • Part II: Yoichi Motohashi. A note on the mean value of the zeta and $L$-functions, II. Proc. Japan Acad. Ser. A Math. Sci., Volume 61, Number 10 (1985), 313--316.
  • Part III: Yoichi Motohashi. A note on the mean value of the zeta and $L$-functions, III. Proc. Japan Acad. Ser. A Math. Sci., Volume 62, Number 4 (1986), 152--154.
  • Part IV: Yoichi Motohashi. A note on the mean value of the zeta and $L$-functions, IV. Proc. Japan Acad. Ser. A Math. Sci., Volume 62, Number 8 (1986), 311--313.
  • Part VI: Yoichi Motohashi. A note on the mean value of the zeta and $L$-functions, VI. Proc. Japan Acad. Ser. A Math. Sci., Volume 65, Number 8 (1989), 273--275.
  • Part VII: Aleksandar Ivić, Yoichi Motohashi. A note on the mean value of the zeta and $L$-functions, VII. Proc. Japan Acad. Ser. A Math. Sci., Volume 66, Number 6 (1990), 150--152.
  • Part VIII: Yoichi Motohashi. A note on the mean value of the zeta and $L$-functions, VIII. Proc. Japan Acad. Ser. A Math. Sci., Volume 70, Number 6 (1994), 190--193.