Résume |
I will present joint work with P. Speissegger in which we study functions definable in two o-minimal expansions of the real field.
More specifically, we prove that certain functions definable in the real numbers expanded by multisummable series, and in the real numbers
expanded by convergent generalized power series, have definable holomorphic continuations.
I will also discuss how to apply these results to the complex Gamma function and Riemann zeta function. |