On $q$-analogs of some families of multiple harmonic sums and multiple zeta star value identities
نویسندگان
چکیده
منابع مشابه
TWO IDENTITIES FOR MULTIPLE HARMONIC q-SERIES
Abstract. We define two finite q-analogs of certain multiple harmonic series with an arbitrary number of free parameters, and prove identities for these q-analogs, expressing them in terms of multiply nested sums involving the Gaussian binomial coefficients. Special cases of these identities—for example, with all parameters equal to 1—have occurred in the literature. The special case with only ...
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The multiple zeta values (MZVs) possess a rich algebraic structure of algebraic relations, which is conjecturally determined by two different (shuffle and stuffle) products of a certain algebra of noncommutative words. In a recent work, Bachmann constructed a q-analogue of the MZVs — the so-called bi-brackets — for which the two products are dual to each other, in a very natural way. We overvie...
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ژورنال
عنوان ژورنال: Communications in Number Theory and Physics
سال: 2016
ISSN: 1931-4523,1931-4531
DOI: 10.4310/cntp.2016.v10.n4.a4