School of Mathematics Seminars and Lectures

`On Euler's methods for double zeta values'

by Dr. Ryotaro Harada (Nagoya University, Japan)

Friday, July 21, 2017 from to (Asia/Kolkata)
at TIFR, Mumbai ( AG-77 )
Description
Abstract
In 1776, L. Euler considered three methods to obtain formulae on double 
zeta values which he called prima methodus, secunda methodus and tertia 
methodus.

But his formulae obtained by the last two methods are not mathematically 
well-formulated and his proofs also need a justification.

In this talk, we give a rigorous proof and also clarify that the 
validity of his formulae is guaranteed by the extended double shuffle 
relations and the generating functions for double zeta values.