Mean value results for the approximate functional equation of the square of the Riemann zeta-function

Isao Kiuchi; Kohji Matsumoto

Acta Arithmetica (1992)

  • Volume: 61, Issue: 4, page 337-345
  • ISSN: 0065-1036

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Isao Kiuchi, and Kohji Matsumoto. "Mean value results for the approximate functional equation of the square of the Riemann zeta-function." Acta Arithmetica 61.4 (1992): 337-345. <http://eudml.org/doc/206471>.

@article{IsaoKiuchi1992,
author = {Isao Kiuchi, Kohji Matsumoto},
journal = {Acta Arithmetica},
keywords = {approximate functional equation; square of Riemann zeta-function; divisor function; mean values},
language = {eng},
number = {4},
pages = {337-345},
title = {Mean value results for the approximate functional equation of the square of the Riemann zeta-function},
url = {http://eudml.org/doc/206471},
volume = {61},
year = {1992},
}

TY - JOUR
AU - Isao Kiuchi
AU - Kohji Matsumoto
TI - Mean value results for the approximate functional equation of the square of the Riemann zeta-function
JO - Acta Arithmetica
PY - 1992
VL - 61
IS - 4
SP - 337
EP - 345
LA - eng
KW - approximate functional equation; square of Riemann zeta-function; divisor function; mean values
UR - http://eudml.org/doc/206471
ER -

References

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  1. [1] A. Ivić, The Riemann Zeta-function, Wiley, 1985. Zbl0556.10026
  2. [2] M. Jutila, On the approximate functional equation for ζ²(s) and other Dirichlet series, Quart. J. Math. Oxford Ser. (2) 37 (1986), 193-209. 
  3. [3] T. Meurman, On the mean square of the Riemann zeta-function, Quart. J. Math. Oxford Ser. (2) 38 (1987), 337-343. Zbl0624.10032
  4. [4] Y. Motohashi, A note on the approximate functional equation for ζ²(s), Proc. Japan Acad. Ser. A 59 (1983), 393-396. 
  5. [5] Y. Motohashi, A note on the approximate functional equation for ζ²(s) II, Proc. Japan Acad. Ser. A 59 (1983), 469-472. 
  6. [6] Y. Motohashi, Lectures on the Riemann-Siegel Formula, Ulam Seminar, Depart. of Math., Colorado University, Boulder 1987. 
  7. [7] E. Preissmann, Sur la moyenne quadratique du terme de reste du problème du cercle, C. R. Acad. Sci. Paris 306 (1988), 151-154. Zbl0654.10042
  8. [8] K.-C. Tong, On divisor problems III, Acta Math. Sinica 6 (1956), 515-541(Chinese, English summary). Zbl0075.25003

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