Number Theory Seminar

Date: September 14, 2016

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Nathan Green, Texas A&M University

Title: Formulas for Special Values of L-functions in Drinfeld Modules

Abstract: We study the arithmetic of coordinate rings of elliptic curves in finite characteristic and analyze their connection with Drinfeld modules. Using the functional equation for the shtuka function, we find identities for power sums and twisted power sums over these coordinate rings which allow us to express function field zeta values in terms of Drinfeld logarithms and recover a log-algebraicity result of Anderson. Moreover, our results allow for the explicit computation of these power sums. Joint with M. Papanikolas.

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