## The mean-value of the Riemann zeta function.(English)Zbl 0036.18603

### MSC:

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

### Keywords:

mean-value; Riemann zeta function
Full Text:

### References:

 [1] G. H. Hardy andJ. E. Littlewood, Acta math. 41 (1918), 119–196. · JFM 46.0498.01 [2] J. E. Littlewood, Proc. London Math. Soc. (2), 20 (1922), Records, XXII–XXVIII. [3] A. E. Ingham, Proc. London Math. Soc. (2), 27 (1926), 273–300. [4] E. C. Titchmarsh, Quart. J. of Math. (Oxford), 5 (1934), 195–210. · Zbl 0010.01002 [5] 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. [6] See, for instance,A. Oppenheim, Proc. London. Math. Soc. (2), 26 (1927), 295–350, and references there given. · JFM 53.0150.02 [7] See for instanceOppenheim, loc cit. · JFM 53.0150.02 [8] See for instance ’Modern Analysis’, (E. T. Whittaker andG. N. Watson, 4th edition Cambridge, 1927), § 5. 4.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.