Liouville function

(redirected from Liouville's function)

Liouville function

[′lyü‚vēl ‚fəŋk·shən]
(mathematics)
A function λ(n) on the positive integers such that λ(1) = 1, and for n ≥ 2, λ(n) is -1 raised to the number of prime factors of n, with repeated factors counted the number of times they appear.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.