The mean square of the error term in a generalization of Dirichlet's divisor problem

Tom Meurman

Acta Arithmetica (1996)

  • Volume: 74, Issue: 4, page 351-364
  • ISSN: 0065-1036

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Tom Meurman. "The mean square of the error term in a generalization of Dirichlet's divisor problem." Acta Arithmetica 74.4 (1996): 351-364. <http://eudml.org/doc/206858>.

@article{TomMeurman1996,
author = {Tom Meurman},
journal = {Acta Arithmetica},
keywords = {error term; mean square estimates; Riemann zeta-function; Dirichlet divisor problem; Voronoï series},
language = {eng},
number = {4},
pages = {351-364},
title = {The mean square of the error term in a generalization of Dirichlet's divisor problem},
url = {http://eudml.org/doc/206858},
volume = {74},
year = {1996},
}

TY - JOUR
AU - Tom Meurman
TI - The mean square of the error term in a generalization of Dirichlet's divisor problem
JO - Acta Arithmetica
PY - 1996
VL - 74
IS - 4
SP - 351
EP - 364
LA - eng
KW - error term; mean square estimates; Riemann zeta-function; Dirichlet divisor problem; Voronoï series
UR - http://eudml.org/doc/206858
ER -

References

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  1. [1] J. L. Hafner, On the representation of the summatory functions of a class of arithmetical functions, in: Analytic Number Theory, M. I. Knopp (ed.), Lecture Notes in Math. 899, Springer, 1981, 148-165. 
  2. [2] A. Ivić, The Riemann Zeta-Function, Wiley, New York, 1985. Zbl0556.10026
  3. [3] I. Kiuchi, On an exponential sum involving the arithmetic function σ a ( n ) , Math. J. Okayama Univ. 29 (1987), 193-205. Zbl0643.10032
  4. [4] K. Matsumoto and T. Meurman, The mean square of the Riemann zeta-function in the critical strip II, Acta Arith. 68 (1994), 369-382. Zbl0812.11049
  5. [5] K. Matsumoto and T. Meurman, The mean square of the Riemann zeta-function in the critical strip III, Acta Arith. 64 (1993), 357-382. Zbl0788.11035
  6. [6] T. Meurman, On the mean square of the Riemann zeta-function, Quart. J. Math. Oxford (2) 38 (1986), 337-343. Zbl0624.10032
  7. [7] A. Oppenheim, Some identities in the theory of numbers, Proc. London Math. Soc. (2) 26 (1927), 295-350. Zbl53.0150.02
  8. [8] Y.-F. S. Pétermann, Divisor problems and exponent pairs, Arch. Math. (Basel) 50 (1988), 243-250. Zbl0619.10034
  9. [9] 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
  10. [10] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford University Press, Oxford, 1951. Zbl0042.07901
  11. [11] K.-C. Tong, On divisor problems III, Acta Math. Sinica 6 (1956), 515-541. Zbl0075.25003
  12. [12] G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge University Press, Cambridge, 1944 Zbl0063.08184

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