Friday, March 20, 201510:15 amKolchin seminar in Differential AlgebraGC 5382

Applications of Differential Algebra to Algebraic Independence of Arithmetic Functions

Wai Yan Pong

California State University Dominguez Hills

Wai Yan Pong

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.