Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
On Euler's Formulae for Depth 2 Multiple Zeta Values
Ryotaro Harada (University of the Ryukyus)
Abstract:
In 1776, L. Euler proposed three methods, called prima methods, secunda methods and tertia methods, to get formulae among double zeta values. But strictly speaking, his arguments of the last two methods are not complete and need a mathematical justification due to the non-admissible indices. In this talk, we give a rigorous proof to his arguments and also clarify that the validity of his formulae is guaranteed by that of the double shuffle relation, regularization and Gangl, Kaneko and Zagier’s generating functions for double zeta values.
