numlib::Lambda
-- von Mangoldt's
functionnumlib::Lambda
(m)
returns the value of von
Mangoldt's function at m
.
numlib::Lambda(m)
m |
- | arithmetical expression |
numlib::Lambda
returns an arithmetical expression
m
is a number but not a natural
number.m
is not a number, numlib::Lambda
returns the unevaluated function call.numlib::Lambda
takes on nonzero values only
for prime powers:
>> numlib::Lambda(49)
ln(7)
>> numlib::Lambda(48)
0
numlib::Lambda
returns the function call if
its argument is not a number:
>> numlib::Lambda(3+n^4)
4 numlib::Lambda(n + 3)
Lambda
at m
is
defined to be log p if m=p^n for some prime
number p and some positive integer n, and to be
zero for positive integers that are not prime powers.