Proceedings of the Japan Academy, Series A, Mathematical Sciences

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

Yoichi Motohashi

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Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 70, Number 6 (1994), 190-193.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195510984

Digital Object Identifier
doi:10.3792/pjaa.70.190

Mathematical Reviews number (MathSciNet)
MR1291180

Zentralblatt MATH identifier
0812.11050

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

Citation

Motohashi, Yoichi. A note on the mean value of the zeta and $L$-functions, VIII. Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), no. 6, 190--193. doi:10.3792/pjaa.70.190. https://projecteuclid.org/euclid.pja/1195510984


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References

  • [1] F. V. Atkinson : The mean value of the Riemann zeta-function. Acta Math., 81, 353-376 (1949).
  • [2] A. Ivic: Mean values of the Riemann zeta-function. Lect. Math. Phy., vol. 82, Tata Inst. Fund. Res., Bombay (1992).
  • [3] N. N. Lebedev: Special functions and their applications. Dover Publications Inc., New York (1972).
  • [4] Y. Motohashi: A note on the mean value of the zeta and L-functions. VI. Proc. Japan Acad., 65A, 273-275 (1989).
  • [5] Y. Motohashi: An explicit formula for the fourth power mean of the Riemann zeta-function. Acta Math., 170, 181-220 (1993).

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 V: Yoichi Motohashi. A note on the mean value of the zeta and $L$-functions, V. Proc. Japan Acad. Ser. A Math. Sci., Volume 62, Number 10 (1986), 399--401.
  • 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.