Number Theory Seminar

Date: January 25, 2017

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Matt Papanikolas, Texas A&M University

Title: Limits of Bernoulli-Carlitz numbers

Abstract: Because of the classical Kummer congruences, one is able to take p-adic limits of certain natural subsequences of Bernoulli numbers. This leads to notions of p-adic limits of special zeta values and Eisenstein series. In the case of the rational function field over a finite field, the analogous quantities, called Bernoulli-Carlitz numbers, fail to satisfy Kummer-type congruences. Nevertheless, we prove that certain subsequences of Bernoulli-Carlitz numbers do have v-adic limits, for v a finite place of K, thus leading to new v-adic limits of Eisenstein series. Joint with G. Zeng.

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