Proceedings of the Japan Academy, Series A, Mathematical Sciences

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

Aleksandar Ivić and Yoichi Motohashi

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 66, Number 6 (1990), 150-152.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195512454

Digital Object Identifier
doi:10.3792/pjaa.66.150

Mathematical Reviews number (MathSciNet)
MR1065794

Zentralblatt MATH identifier
0699.10056

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

Citation

Ivić, Aleksandar; Motohashi, Yoichi. A note on the mean value of the zeta and $L$-functions, VII. Proc. Japan Acad. Ser. A Math. Sci. 66 (1990), no. 6, 150--152. doi:10.3792/pjaa.66.150. https://projecteuclid.org/euclid.pja/1195512454


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References

  • [1] A. Good: Ein J2-Resultat fur das quadratische Mittel der Riemannschen Zetafunktion auf der kritischen Linie. Invent. Math., 41, 233-251 (1977).
  • [2] J. L. Hafner and A. Ivic: On the mean-square of the Riemann zeta-f unction on the critical line. J. Number Theory, 32, 151-191 (1989).
  • [3] Y. Motohashi: A note on the mean value of the zeta and L-functions. VI. Proc. Japan Acad., 65A, 273-275 (1989).
  • [4] L. A. Takhtajan and A. I. Vinogradov: An estimate of the residuum of Rankin's L-series. Dokl. Akad. Nauk USSR, 267, 30-34 (1982) (in Russian).
  • [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 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 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.