Mean square of the remainder term in the Dirichlet divisor problem II

Kai-Man Tsang

Acta Arithmetica (1995)

  • Volume: 71, Issue: 3, page 279-299
  • ISSN: 0065-1036

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Kai-Man Tsang. "Mean square of the remainder term in the Dirichlet divisor problem II." Acta Arithmetica 71.3 (1995): 279-299. <http://eudml.org/doc/206776>.

@article{Kai1995,
author = {Kai-Man Tsang},
journal = {Acta Arithmetica},
keywords = {mean value; error term; Dirichlet's divisor problem},
language = {eng},
number = {3},
pages = {279-299},
title = {Mean square of the remainder term in the Dirichlet divisor problem II},
url = {http://eudml.org/doc/206776},
volume = {71},
year = {1995},
}

TY - JOUR
AU - Kai-Man Tsang
TI - Mean square of the remainder term in the Dirichlet divisor problem II
JO - Acta Arithmetica
PY - 1995
VL - 71
IS - 3
SP - 279
EP - 299
LA - eng
KW - mean value; error term; Dirichlet's divisor problem
UR - http://eudml.org/doc/206776
ER -

References

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  1. [1] J. L. Hafner, New omega theorems for two classical lattice point problems, Invent. Math. 63 (1981), 181-186. Zbl0458.10031
  2. [2] D. R. Heath-Brown, The fourth power moment of the Riemann Zeta-function, Proc. London Math. Soc. (3) 38 (1979), 385-422. Zbl0403.10018
  3. [3] A. Ivić, The Riemann Zeta-Function, Wiley-Interscience, New York, 1985. Zbl0556.10026
  4. [4] A. Ivić, Lectures on Mean Values of the Riemann Zeta-Function, Lectures on Math. and Physics 82, Tata Inst. Fund. Res., Springer, Bombay, 1991. 
  5. [5] A. Ivić and M. Ouellet, Some new estimates in the Dirichlet divisor problem, Acta Arith. 52 (1989), 241-253. Zbl0619.10041
  6. [6] Y. K. Lau and K. M. Tsang, Mean square of the remainder term in the Dirichlet divisor problem, J. Théorie de Nombres de Bordeaux, to appear. Zbl0844.11059
  7. [7] Y. Motohashi, The binary additive divisor problem, Ann. Sci. École Norm. Sup. 27 (1994), 529-572. Zbl0819.11038
  8. [8] E. Preissmann, Sur la moyenne quadratique du terme de reste du problème du cercle, C. R. Acad. Sci. Paris Sér. I 306 (1988), 151-154. Zbl0654.10042
  9. [9] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed. revised by D. R. Heath-Brown, Oxford Univ. Press, Oxford, 1986. Zbl0601.10026
  10. [10] K. C. Tong, On divisor problems III, Acta Math. Sinica 6 (1956), 515-541. Zbl0075.25003
  11. [11] G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge University Press, 1962 

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