The mean square of the Riemann zeta-function in the critical strip III
Acta Arithmetica (1993)
- Volume: 64, Issue: 4, page 357-382
- ISSN: 0065-1036
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topKohji Matsumoto, and Tom Meurman. "The mean square of the Riemann zeta-function in the critical strip III." Acta Arithmetica 64.4 (1993): 357-382. <http://eudml.org/doc/206557>.
@article{KohjiMatsumoto1993,
author = {Kohji Matsumoto, Tom Meurman},
journal = {Acta Arithmetica},
keywords = {critical strip; Riemann zeta-function; Voronoi formula; Omega theorem; error term; asymptotic formula; Atkinson's formula; mean square},
language = {eng},
number = {4},
pages = {357-382},
title = {The mean square of the Riemann zeta-function in the critical strip III},
url = {http://eudml.org/doc/206557},
volume = {64},
year = {1993},
}
TY - JOUR
AU - Kohji Matsumoto
AU - Tom Meurman
TI - The mean square of the Riemann zeta-function in the critical strip III
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 4
SP - 357
EP - 382
LA - eng
KW - critical strip; Riemann zeta-function; Voronoi formula; Omega theorem; error term; asymptotic formula; Atkinson's formula; mean square
UR - http://eudml.org/doc/206557
ER -
References
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- [8] M. Jutila, A Method in the Theory of Exponential Sums, Lectures on Math. 80, Tata Inst. Fund. Res., Springer, 1987.
- [9] K. Matsumoto, The mean square of the Riemann zeta-function in the critical strip, Japan. J. Math. 15 (1989), 1-13. Zbl0684.10035
- [10] K. Matsumoto and T. Meurman, The mean square of the Riemann zeta-function in the critical strip II, Journées Arithmétiques de Genève 1991, Astérisque 209 (1992), 265-274.
- [11] T. Meurman, A generalization of Atkinson's formula to L-functions, Acta Arith. 47 (1986), 351-370. Zbl0561.10019
- [12] T. Meurman, On the mean square of the Riemann zeta-function, Quart. J. Math. Oxford (2) 38 (1987), 337-343. Zbl0624.10032
- [13] T. Meurman, A simple proof of Voronoï's identity, to appear. Zbl0788.11042
- [14] T. Meurman, Voronoï’s identity for the Riesz mean of , unpublished manuscript, 24 pp.
- [15] Y. Motohashi, The mean square of ζ(s) off the critical line, unpublished manuscript, 11 pp.
- [16] A. Oppenheim, Some identities in the theory of numbers, Proc. London Math. Soc. (2) 26 (1927), 295-350. Zbl53.0150.02
- [17] E. Preissmann, Sur la moyenne quadratique de la fonction zêta de Riemann, preprint.
- [18] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford Univ. Press, Oxford 1951. Zbl0042.07901
Citations in EuDML Documents
top- Aleksandar Ivić, Some problems on mean values of the Riemann zeta-function
- Tom Meurman, The mean square of the error term in a generalization of Dirichlet's divisor problem
- Yuk-Kam Lau, A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip
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