Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Rong Qiang Wei
Pages: [15] - [33]
Received Date: November 13, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121887
Two elementary formulae for Mertens function 
are obtained. With these formulae, can be calculated directly and simply, which
can be easily implemented by computer. 
are calculated one by one. Based on these
samples, some of the complicated properties for
Mertens function 
its 16479 zeros, the 10043 local
maximum/minimum between two neighbour zeros, and the relation with the
cumulative sum of the squarefree integers, are understood numerically
and empirically.
Mertens function, elementary formula, zeros, local maximum/ minimum, squarefree integers.
