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Moments over short intervals

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Abstract.

An asymptotic result for the kth moment (k ≦ 9) of the error term in the Dirichlet divisor problem over short intervals is obtained, which improves on an earlier result of Nowak.

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Authors and Affiliations

  1. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

    Yuk-Kam Lau & Kai-Man Tsang

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  1. Yuk-Kam Lau
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  2. Kai-Man Tsang
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Correspondence to Yuk-Kam Lau.

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Received: 22 April 2004

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Lau, YK., Tsang, KM. Moments over short intervals. Arch. Math. 84, 249–257 (2005). https://doi.org/10.1007/s00013-004-1119-7

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  • DOI: https://doi.org/10.1007/s00013-004-1119-7

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