Polylogarithms, Dirichlet Series, and Certain Constants
نویسندگان
چکیده
منابع مشابه
Generalized multiple Dirichlet series and generalized multiple polylogarithms
where t is a complex variable. By Assumption I, we see that the series (1.3) is convergent when <t < 0. We further assume the following: (Assumption II ) ψ(s) can be continued analytically to the whole complex plane C, and holomorphic for all s ∈ C. In any fixed strip σ1 ≤ σ ≤ σ2, ψ(s; u) is uniformly convergent to ψ(s) as u → 1 + 0. Furthermore there exists a certain θ0 = θ0(σ1, σ2) ∈ R with 0...
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This definition could have been given to an 18th or early 19th century mathematical audience, but it would not have been very popular: probably they would not have been comfortable with the Humpty Dumpty-esque redefinition of multiplication. Mathematics at that time did have commutative rings: rings of numbers, of matrices, of functions, but not rings with a “funny” multiplication operation def...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1964
ISSN: 0025-5718
DOI: 10.2307/2003313