2011/06/09 by N. A. Carella, Carella, N. A.
Mathematics · Physics and Astronomy · #11M26 #11N56 #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM)
paper · pdf · doi:10.48550/arxiv.1106.1895
openalex publication_date 2011/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.