Adding four arithmetic functions #70
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Added Primes.totient
Added `moebiusmu` with two signatures (integers and factorizations as inputs), and added docstring
Added tests for moebius(), liouville(), divisorcount(), divisorsum()
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I don't know how (technically) I can resolve this trivial conflict in api.md (the version where the 4 new functions are present is the valid one). Am I even allowed to do it? Help! |
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I'd also like to have this (esp. the Möbius |
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I have added 4 functions:
moebius,liouville,divisorcount, anddivisorsum. They are all multiplicative in the sense thatf(n m) = f(n) f(m)ifnandmare relative prime, and they can easily be computed from the prime factorization (see https://en.wikipedia.org/wiki/Arithmetic_function#Multiplicative_functions). Documentation and tests are included.This is functionality for which a system like Mathematica has been useful in the past, but it would be good to have it in Julia. I plan to add more such functions and more detailed documentation later.