Lg

There are several conflicting meanings associated with the notation . In German and Russian literature, the notation  is used to mean the common logarithm . This is also the usage recommended by the United States Department of Commerce (Taylor 1995, p. 33).

However,  is sometimes identified with the binary logarithm  in some number theoretic literature (and here,  mean the base-2 logarithm, not the nested natural logarithm  as defined by Ivić 2003).

Great care is therefore needed to determine the intended definition for  when it is encountered in the wild.

REFERENCES:

Ivić, A. "On a Problem of Erdős Involving the Largest Prime Factor of ." 5 Nov 2003. http://arxiv.org/abs/math.NT/0311056.

Taylor, B. N. Guide for the Use of the International System of Units (SI). United States Department of Commerce. NIST Special Publication 811, p. 33, 1995. http://physics.nist.gov/cuu/pdf/sp811.pdf.