Proceedings of the Japan Academy, Series A, Mathematical Sciences

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

Yoichi Motohashi

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Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 62, Number 4 (1986), 152-154.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195514375

Digital Object Identifier
doi:10.3792/pjaa.62.152

Mathematical Reviews number (MathSciNet)
MR846352

Zentralblatt MATH identifier
0592.10037

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

Citation

Motohashi, Yoichi. A note on the mean value of the zeta and $L$-functions, III. Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 4, 152--154. doi:10.3792/pjaa.62.152. https://projecteuclid.org/euclid.pja/1195514375


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References

  • [1] D. R. Heath-Brown: The twelfth power moment of the Riemann-function. Quart. J. Math., Oxford, 29, 443-462 (1978).
  • [2] D. R. Heath-Brown: Hybrid bounds for Dirichlet L-functions. Invent. Math., 47, 149-170 (1978).
  • [3] A. Ivic: The Riemann Zeta-function. John Wiley and Sons, New York (1985).
  • [4] Y. Motohashi: A note on the mean value of the zeta and L-functions. II. Proc. Japan Acad., 61A, 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 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.
  • 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.