Geodesic
Explicit estimates for the summatory function of $\varLambda (n)/n$ from the one of $\varLambda (n)$
Olivier Ramaré 1
1 CNRS / Laboratoire Paul Painlevé Université Lille 1 59 655 Villeneuve d'Ascq, France
Acta Arithmetica, Tome 159 (2013) no. 2, pp. 113-122 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the error term $\sum _{\substack {n\le x}}\varLambda (n)/n-\log x+\gamma $ differs from $(\psi (x)-x)/x$ by a well controlled function. We deduce very precise numerical results from the formula obtained.
DOI : 10.4064/aa159-2-2
Keywords: prove error term sum substack varlambda n log gamma differs psi x controlled function deduce precise numerical results formula obtained

Olivier Ramaré  1

1 CNRS / Laboratoire Paul Painlevé Université Lille 1 59 655 Villeneuve d'Ascq, France 
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Olivier Ramaré. Explicit estimates for the summatory function of $\varLambda (n)/n$ from the one of $\varLambda (n)$. Acta Arithmetica, Tome 159 (2013) no. 2, pp. 113-122. doi: 10.4064/aa159-2-2

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