Kolchin seminar in Differential AlgebraFriday, March 20, 201510:15 amGC 5382

# Applications of Differential Algebra to Algebraic Independence of Arithmetic Functions

## Wai Yan Pong

### California State University Dominguez Hills

We generalize and unify the proofs of several results of algebraic independence of arithmetic functions using a theorem of Ax on differential Schanuel conjecture. Along the way of we investigation, we found counter-examples to some results in the literature.

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on March 18th, 2015