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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003 Number 1, Pages 78–82 (Mi basm189)

This article is cited in 2 papers

Research articles

Note on multiple zeta–values

Henryk Żołądek

Institute of Mathematics, Warsaw University, Warsaw, Poland

Abstract: We introduce some generating functions $g(t;x)$ for multiple zeta values. They satisfy linear differential equations $Pg+x^ag=0$ of the Fuch type. We find WKB-type expansions for $g$ as $x\to\infty$.

Keywords and phrases: Multiple zeta values, equations of Fuchs type, WKB method.

MSC: 11M41

Received: 06.12.2002

Language: English



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