Can I read On Multiplicative Functions with Bounded Partial Sums on EtoBox?

On Multiplicative Functions with Bounded Partial Sums by Vandehey, Joseph is a scholarly article available to read on EtoBox.

What is On Multiplicative Functions with Bounded Partial Sums about?

Consider a multiplicative function f(n) taking values on the unit circle. Is it possible that the partial sums of this function are bounded? We show that if we weaken the notion of multiplicativity so that f(pn)=f(p)f(n) for all primes p in some finite set P, then the answer is yes. We also discuss a result of Bronstein that shows that functions modified from characters at a finite number of places.

Author

Vandehey, Joseph

Published

2011

Language

EN