Open Access
2000 A note on Landau's formula
J. Kaczorowski, A. Languasco, A. Perelli
Funct. Approx. Comment. Math. 28: 173-186 (2000). DOI: 10.7169/facm/1538186693

Abstract

In this paper we obtain a weighted form of Gonek's [5] uniform version of the classical Landau formula. The results are based on Kaczorowski-Perelli's [10] technique for the Riemann von Mangoldt explicit formula. The main feature of our results is a more flexible remainder term, which in particular gives better mean-values estimates.

Dedication

Dedicated to Włodzimierz Staś on the occasion of his 75th birthday

Citation

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J. Kaczorowski. A. Languasco. A. Perelli. "A note on Landau's formula." Funct. Approx. Comment. Math. 28 173 - 186, 2000. https://doi.org/10.7169/facm/1538186693

Information

Published: 2000
First available in Project Euclid: 29 September 2018

zbMATH: 1034.11049
MathSciNet: MR1824002
Digital Object Identifier: 10.7169/facm/1538186693

Subjects:
Primary: 11M36
Secondary: 11M26 , 11N05

Keywords: distribution of primes , explicit formulae , Landau's formula

Rights: Copyright © 2000 Adam Mickiewicz University

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