Wielokrotne wartości zeta

Speaker(s)

Michał Zakrzewski

Affiliation

Uniwersytet Warszawski

Date

Nov. 16, 2007, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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Certain generating functions for multiple zeta-values are expressed as values at some point of solutions of linear meromorphic differential equations. Asymptotic expansions methods (like WKB method and stationary phase formula) are applied to solutions of these equations. In this way we obtain a new proof of Euler formula $\zeta (2) = \pi^2/6$. Some integral and asymptotic formulas for solutions of a third order differential equation related to $\zeta (3)$ will be presented.

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