School of Mathematics Colloquium
The p-adic L-functions of Kubota and Leopoldt
by Prof. Ralph Greenberg (University of Washington, USA)
Thursday, July 12, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
Description |
A good part of this talk will be an introduction to the topic. We will discuss the p-adic analogues of the Riemann zeta function and Dirichlet L-functions which were constructed in the early 1960s by Kubota and Leopoldt. We also want to discuss a new proof of an old formula proved by Bruce Ferrero and myself in the 1970s. That formula gives the value of the derivative for a Kubota-Leopoldt p-adic L-function at s=0 when the function itself vanishes at that point. The new proof is a joint project with Benjamin Lundell and Shaowei Zhang and relies on studying a certain anaytic function of two p-adic variables. |