Abhishek Bharadwaj (Queen's University)

Date

Monday February 27, 2023
4:30 pm - 5:30 pm

Location

Jeffery Hall, Room 319

Number Theory Seminar

Monday, February 27th, 2023

Time: 4:30 p.m.  Place: Jeffery Hall, Room 319

Speaker: Abhishek Bharadwaj (Queen's University)

Title: On some relations associated to special values of the digamma function

Abstract: A distribution relation is a relation of the form f(x) = \sum_{b=0}^{m-1}f((x+b)/m) for all numbers x and for all natural numbers m. These relations are known for the Bernoulli polynomials and for logarithm of Cyclotomic units. The above identity should be thought of obtaining a value of the function in a `lower level' from some values in the `higher level'. In this talk, we shall discuss some of the relations associated to the special values of the digamma function. This is a joint work with Ram Murty (work in progress).