On a result of R. R. Hall |
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| Authors: | H Halberstam H-E Richert |
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| Affiliation: | Department of Mathematics, University of Nottingham, Nottingham, England;Department of Mathematics, University of Ulm, Oberer Eselsberg, Ulm, Germany |
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| Abstract: | An upper bound for the mean value of a non-negative submultiplicative function by R. R. Hall 3] is sharpened and generalised. Hall's inequality implies a certain rather accurate upper sieve estimate, and this aspect of Hall's result is exploited in deriving good lower bounds for π(x) via the sieve. |
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