Further Systematic Computations on the Summatory Function of the Mobius Function. Modelling, and Analysis and Simulation

摘要

In the past, the Mertens function M(x), i.e. the sum of the Mobius function mu(n) for 1 equal to or less than n equal to or less than x, has been computed for x equal to or less than 10 to the 13th power. We describe the results obtained by extending this range to x equal to or less than 10 to the 14th power, and discuss the prospects of such computations for even larger ranges.