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searching for Mertens function 3 found (56 total)

360 (number) (853 words) [view diff] exact match in snippet view article

362=2\times 181=\sigma _{2}(19)} : sum of squares of divisors of 19, Mertens function returns 0, nontotient, noncototient. 364 = 2 2 × 7 × 13 {\displaystyle

Theorem (4,409 words) [view diff] exact match in snippet view article find links to article

no explicit counterexample (i.e., a natural number n for which the Mertens function M(n) equals or exceeds the square root of n) is known: all numbers

André LeClair (1,748 words) [view diff] exact match in snippet view article find links to article

"Randomness of Mobius coefficents and brownian motion: growth of the Mertens function and the Riemann Hypothesis". Journal of Statistical Mechanics: Theory