Multiple series connected to Hoffman's conjecture on multiple zeta values
نویسندگان
چکیده
منابع مشابه
N ov 2 00 7 Multiple series connected to Hoffman ’ s conjecture on multiple zeta values
Recent results of Zlobin and Cresson-Fischler-Rivoal allow one to decompose any suitable p-uple series of hypergeometric type into a linear combination (over the rationals) of multiple zeta values of depth at most p; in some cases, only the multiple zeta values with 2's and 3's are involved (as in Hoffman's conjecture). In this text, we study the depth p part of this linear combination, namely ...
متن کاملSe p 20 06 Multiple series connected to Hoffman ’ s conjecture on multiple zeta values S . Fischler 18 th April 2008
Recent results of Zlobin and Cresson-Fischler-Rivoal allow one to decompose any suitable p-uple series of hypergeometric type into a linear combination (over the rationals) of multiple zeta values of depth at most p; in some cases, only the multiple zeta values with 2's and 3's are involved (as in Hoffman's conjecture). In this text, we study the depth p part of this linear combination, namely ...
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for any collection of positive integers s1, s2, . . . , sl. By definition, Lis(1) = ζ(s), s ∈ Z, s1 ≥ 2, s2 ≥ 1, . . . , sl ≥ 1. (4.2) Taking, as before for multiple zeta values, Lixs(z) := Lis(z), Li1(z) := 1, (4.3) let us extend action of the map Li : w 7→ Liw(z) by linearity on the graded algebra H (not H, since multi-indices are coded by words in H). Lemma 4.1. Let w ∈ H be an arbitrary non...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.04.022