On the mean square of the divisor function in short intervals

Aleksandar Ivić

Type: Article

Publication Date: 2009-01-01

Citations: 17

DOI: https://doi.org/10.5802/jtnb.669

Abstract

where h=h(X)≫1,h=o(x) as X→∞ and h lies in a suitable range. For k≥2 a fixed integer, 𝔻 k (x) is the error term in the asymptotic formula for the summatory function of the divisor function d k (n), generated by ζ k (s).

Locations

Journal de Théorie des Nombres de Bordeaux - View - PDF
arXiv (Cornell University) - View - PDF
French digital mathematics library (Numdam) - View - PDF

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Works Cited by This (3)

Action	Title	Year	Authors
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown
+ PDF Chat	On the divisor function and the Riemann zeta-function in short intervals	2008	Aleksandar Ivić
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