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Some Remarks on a Paper of Ramachandra

Authors :
Imre Kátai
M. V. Subbarao
Source :
Lithuanian Mathematical Journal. 43:410-418
Publication Year :
2003
Publisher :
Springer Science and Business Media LLC, 2003.

Abstract

We give the asymptotics of the sum \(\sum\nolimits_{x \leqslant n \leqslant x + h} {f(n)}\), where \(h \gg x^{7/12 + \varepsilon }\), for the multiplicative functions \(f(n) = z^{\omega (n)} , z^{\omega (n)} |\mu (n)|, 1/d_k (n)\), and \(nd(n)\).

Details

ISSN :
03631672
Volume :
43
Database :
OpenAIRE
Journal :
Lithuanian Mathematical Journal
Accession number :
edsair.doi...........e6101980acda2b2bccb9896c1a8243e8