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Linear differential equations and multiple zeta values. I. Zeta(2)

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Zakrzewski M., Żołądek H.

Fundamenta Mathematicae

2010

tom 210

nr 3

207-242

Certain generating fuctions for multiple zeta values are expressed as values at some point of solutions of linear meromorphic differential equations. We apply asymptotic expansion methods (like the WKB method and the Stokes operators) to solutions of these equations. In this way we give a new proof of the Euler formula ζ(2) = π²/6. In further papers we plan to apply this method to study some third order hypergeometric equation related to ζ(3).

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Zakrzewski M.

1 Żołądek H.

1 2010

Wyniki wyszukiwania

Linear differential equations and multiple zeta values. I. Zeta(2)