Open Access
Translator Disclaimer
1996 Computing the summation of the Möbius function
Marc Deléglise, Joöl Rivat
Experiment. Math. 5(4): 291-295 (1996).

Abstract

We describe an elementary method for computing isolated values of $M(x)=\sum_{n \leq x} \mu(n)$, where $\mu$ is the Möbius function. The complexity of the algorithm is $O(x^{2/3}(\log \log x)^{1/3})$ time and $O(x^{1/3}(\log \log x)^{2/3})$ space. Certain values of $M(x)$ for $x$ up to $10^{16}$ are listed: for instance, $M(10^{16})=-3195437$.

Citation

Download Citation

Marc Deléglise. Joöl Rivat. "Computing the summation of the Möbius function." Experiment. Math. 5 (4) 291 - 295, 1996.

Information

Published: 1996
First available in Project Euclid: 13 March 2003

zbMATH: 1007.11083
MathSciNet: MR1437219

Subjects:
Primary: 11Y35

Rights: Copyright © 1996 A K Peters, Ltd.

JOURNAL ARTICLE
5 PAGES


SHARE
Vol.5 • No. 4 • 1996
Back to Top