Number Theory Seminar

Date: October 8, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 624

Speaker: Guchao Zeng, Texas A&M University at Qatar

Title: v-adic limits of Bernoulli-Carlitz numbers

Abstract: The Bernoulli-Carlitz numbers BC_m for the rational function field K over a finite field of order q do not behave the same as the classical Bernoulli numbers. We show that BC_m has v-adic limits (v is a finite place of K of degree d) for m of the form aq^{dj}+b, where a and b are positive integers. Moreover, the limit is in a constant field extension of K and invariant under the permutation of distance d. Joint work with M. Papanikolas.

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