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On Riesz means in the multi-dimensional divisor problem

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Abstract

An estimate of the remainder term in an asymptotic formula for Riesz means of the multidimensional divisor function is obtained with an arbitrary value of the parameter α > 0.

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References

  1. E. C. Titchmarsh, The Theory of the Riemann Zeta-Function (Clarendon Press, 1951; IL, Moscow, 1953).

  2. A. Ivić, Riemann Zeta-Function (Wiley, N.Y., 1985).

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  3. E. E. Bayadilov, On the Mean Value of the Divisor Function for a Ternary Cubic Form, Candidate’s Dissertation in Mathematics and Physics (2002).

  4. O. V. Kolpakova, “Estimates of the Carlson Abscissa for Noninteger Degrees of Averaging,” Vestn. Mosk. Univ., Matem. Mekhan., No. 6, 45 (2006).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    O. V. Kolpakova

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  1. O. V. Kolpakova
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Additional information

Original Russian Text © O. V. Kolpakova, 2007, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2007, Vol. 62, No. 6, pp. 53–55.

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Kolpakova, O.V. On Riesz means in the multi-dimensional divisor problem. Moscow Univ. Math. Bull. 62, 244–246 (2007). https://doi.org/10.3103/S002713220706006X

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  • DOI: https://doi.org/10.3103/S002713220706006X

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