Proceedings of the Japan Academy, Series A, Mathematical Sciences

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

Yoichi Motohashi

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 65, Number 8 (1989), 273-275.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195512727

Digital Object Identifier
doi:10.3792/pjaa.65.273

Mathematical Reviews number (MathSciNet)
MR1030198

Zentralblatt MATH identifier
0699.10055

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

Citation

Motohashi, Yoichi. A note on the mean value of the zeta and $L$-functions, VI. Proc. Japan Acad. Ser. A Math. Sci. 65 (1989), no. 8, 273--275. doi:10.3792/pjaa.65.273. https://projecteuclid.org/euclid.pja/1195512727


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References

  • [1] F. V. Atkinson: The mean-value of the Riemann zeta-function. Acta Math., 81, 353-376 (1949).
  • [2] H. Iwaniec: Fourier coefficients of cusp forms and the Riemann zeta-function. Sem. Theor. Nombres, Univ. Bordeaux, no. 18 (1979/80).
  • [3] Y. Motohashi: A spectral decomposition of the product of four zeta-values. Proc. Japan Acad., 65A, 143-146 (1989).
  • [4] Y. Motohashi: A study on the fourth power mean of the Riemann zeta-function (manuscript).
  • [5] N. I. Zavorotnyi: On the fourth power mean of the zeta-function (preprint) (in Russian).

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 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.