Acta Mathematica

The mean-value of the Riemann zeta function

F. V. Atkinson

Full-text: Open access

Article information

Source
Acta Math., Volume 81 (1949), 353-376.

Dates
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.acta/1485888506

Digital Object Identifier
doi:10.1007/BF02395027

Mathematical Reviews number (MathSciNet)
MR31963

Zentralblatt MATH identifier
0036.18603

Rights
1949 © Almqvist & Wiksells Boktryckeri AB

Citation

Atkinson, F. V. The mean-value of the Riemann zeta function. Acta Math. 81 (1949), 353--376. doi:10.1007/BF02395027. https://projecteuclid.org/euclid.acta/1485888506


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Bibliographie

  • G. H. Hardy and J. E. Littlewood, Acta math. 41 (1918), 119–196.
  • J. E. Littlewood, Proc. London Math. Soc. (2), 20 (1922), Records, XXII–XXVIII.
  • A. E. Ingham, Proc. London Math. Soc. (2), 27 (1926), 273–300.
  • E. C. Titchmarsh, Quart. J. of Math. (Oxford), 5 (1934), 195–210.
  • The connection is to some extent apparent in my paper, Quart. J. of Math. (Oxford), 10 (1939), 122–128. I hope to go in this question more deeply in a subsequent paper.
  • See, for instance, A. Oppenheim, Proc. London. Math. Soc. (2), 26 (1927), 295–350, and references there given.
  • See for instance Oppenheim, loc cit.
  • See for instance ‘Modern Analysis’, (E. T. Whittaker and G. N. Watson, 4th edition Cambridge, 1927), § 5. 4.