Results 1 - 10 for Mertens function

Mertens function - Wikipedia, the free encyclopedia
In number theory, the Mertens function is. where μ(k) is the Möbius function. The function is named in honour of Franz Mertens. Less formally, M (n) is the count of square-free ...
http://wiki.healthhaven.com/Mertens_function
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Mertens Function -- from Wolfram MathWorld
The Mertens function is the summary function M(n)=sum_(k=1)^nmu(k), (1) where mu(n) is the Möbius function (Mertens 1897; Havil 2003, p. 208). The first few values are 1, 0 ...
http://mathworld.wolfram.com/MertensFunction.html
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Ed Pegg's Math Games - The Möbius Function (and squarefree numbers)
This is known as Mertens Function, or M (x). In 1885, Stieltjes claimed to have a proof that | M (x)/ x ½ | < 1 for all x. In 1897, Mertens said the same thing, and now gets all ...
http://www.maa.org/editorial/mathgames/mathgames_11_03_03.html
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Mertens Conjecture -- from Wolfram MathWorld
Given the Mertens function defined by M(n)=sum_(k=1)^nmu(k), (1) where mu(n) is the Möbius function, Stieltjes claimed in an 1885 letter to Hermite that M(x)x^(-1/2) stays ...
http://mathworld.wolfram.com/MertensConjecture.html
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PlanetMath: Mertens function
Given an integer $n > 0$ $$M(n) = \sum_{i = 1}^n \mu(i)$$ where $\mu(x)$ is the Möbius function. There is no $x$ such that $M(x) > x$ Franz Mertens conjectured that there is no $x ...
http://planetmath.org/encyclopedia/MertenssFunction.html
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On the Orderofthe Mertens Function
On the Orderofthe Mertens Function Tadej Kotnikand Janvande Lune CONTENTS 1. Introduction 2. The General Behavior of q ( x ) 3. Exact and Approximate Computations of q ( x ) 4.
http://www.expmath.org/expmath/volumes/13/13.4/Kotnik.pdf
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mertens function zero - related articles and key terms
Wikipedia index for 'mertens function zero'
http://cwf.appspot.com/cwx/term/mertens+function+zero
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Mertens conjecture - Wikipedia, the free encyclopedia
In mathematics, the Mertens conjecture is a statement about the behavior of a certain function as its argument increases. Conjectured to be true by Mertens in 1897, it was ...
http://wiki.healthhaven.com/Mertens_conjecture
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INEX: Wikipedia, the free encyclopedia (Mertens function)
Table of Contents. 1 External links; In number theory , the Mertens function is M(n) = \sum_{1\le k \le n} \mu(k) where Î¼(k) is the MÃ¶bius function .
http://infao5501.ag5.mpi-sb.mpg.de:8080/topx/archive?link=Wikipedia-Lip6-2/435639.xml&style
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Mertens Function
has been disproved. Lehman (1960) gives an algorithm for computing with operations, while the Lagarias-Odlyzko (1987) algorithm for computing the Prime Counting Function can be ...
http://www.math.sdu.edu.cn/mathency/math/m/m197.htm
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