Harmonic-number summation identities, symmetric functions, and multiple zeta values
نویسندگان
چکیده
منابع مشابه
Quasi-symmetric functions, multiple zeta values, and rooted trees
The algebra Sym of symmetric functions is a proper subalgebra of QSym: for example, M11 and M12 +M21 are symmetric, but M12 is not. As an algebra, QSym is generated by those monomial symmetric functions corresponding to Lyndon words in the positive integers [11, 6]. The subalgebra of QSym ⊂ QSym generated by all Lyndon words other than M1 has the vector space basis consisting of all monomial sy...
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. . . , s k are positive integers with s 1 > 1. For k ≤ n, let E(2n, k) be the sum of all multiple zeta values with even arguments whose weight is 2n and whose depth is k. The well-known result E(2n, 2) = 3ζ(2n)/4was extended to E(2n, 3) and E(2n, 4) by Z. Shen and T. Cai. Applying the theory of symmetric functions, Hoffman gave an explicit generating function for the numbers E(2n, k) and then ...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2016
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-015-9750-4