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On Two Fundamental Identities For Euler Sums

Borwein, Jonathan M. and Bradley, David M. (2005) On Two Fundamental Identities For Euler Sums. [Preprint]

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    Abstract

    We give diverse proofs of the fundamental identities ζ(2,1) =ζ(3) = 8ζ(2,1). We also discuss various generalizations for multiple harmonic (Euler) sums and some connections, thereby illustrating the wide variety of techniques fruitfully used to study such sums.

    Item Type: Preprint
    Additional Information: pubdom TRUE
    Uncontrolled Keywords: Multiple harmonic series, multiple zeta values, Euler sums, Euler-Zagier sums
    Subjects: 11-xx Number theory > 11Mxx Zeta and $L$-functions: analytic theory
    40-xx Sequences, series, summability > 40Bxx Multiple sequences and series
    Faculty: UNSPECIFIED
    Depositing User: Users 1 not found.
    Date Deposited: 14 Mar 2005
    Last Modified: 21 Apr 2010 11:13
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/279

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