## Date:

Tuesday, February 26, 2019, 3:00pm

## Location:

Jefferson 356

**Title. **Entropy of arithmetic functions and arithmetic compactifications

**Abstract.** A new notion of entropy of arithmetic functions is introduced. It is shown that all zero entropy arithmetic functions form a C*-algebra. This entropy also behaves nicely with respect to limits similar to dynamical entropy of Kolmogorov and has many properties similar to Shannonâ€™s entropy.