Dirichlet Generating Function
The Dirichlet generating function for the square-free numbers is
- where ΞΆ(s) is the Riemann zeta function.
This is easily seen from the Euler product
Read more about this topic: Square-free Integer
Famous quotes containing the word function:
“The function of literature, through all its mutations, has been to make us aware of the particularity of selves, and the high authority of the self in its quarrel with its society and its culture. Literature is in that sense subversive.”
—Lionel Trilling (1905–1975)