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arXiv · 1106.1895

Summatory Mobius Function, and Summatory Liouville Function

N. A. Carella
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Abstract

The orders of magnitudes of the summatory Liouville function L(x), and the summatory Mobius function M(x), are unconditionally proven to be of the forms L(x) = O(x^.5)), and M(x) = O(x^.5) respectively. Furthermore, applications of these estimates to zeta functions and L-functions are also considered.

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N. A. Carella. 2011-06-15. Summatory Mobius Function, and Summatory Liouville Function. https://arxiv.org/abs/1106.1895

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