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A sum formula of multiple L-values

    https://doi.org/10.1142/S1793042115500074Cited by:2 (Source: Crossref)

    We prove an alternating sum formula of certain multiple L-values conjectured by Essouabri, Matsumoto and Tsumura, which generalizes the sum formula of multiple zeta values. The proof relies on the method of partial fraction decomposition.

    AMSC: 11M32, 40B05

    References

    • T.   Arakawa and M.   Kaneko , J. Math. Soc. Japan   56 , 967 ( 2004 ) . Crossref, Web of ScienceGoogle Scholar
    • D.   Essouabri , K.   Matsumoto and H.   Tsumura , Canad. J. Math.   63 , 241 ( 2011 ) . Crossref, Web of ScienceGoogle Scholar
    • A. Granville, Analytic Number Theory, London Mathematical Society Lecture Note Series 247 (Cambridge University Press, Cambridge, 1997) pp. 95–101. CrossrefGoogle Scholar
    • D. E.   Littlewood , The Theory of Group Characters and Matrix Representations of Groups , 2nd edn. ( AMS Chelsea Publishing , Providence, RI , 1950 ) . Google Scholar
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