Analytic continuation of multiple zeta-functions and their values at non-positive integers (Q2717617)
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scientific article; zbMATH DE number 1605213
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic continuation of multiple zeta-functions and their values at non-positive integers |
scientific article; zbMATH DE number 1605213 |
Statements
Analytic continuation of multiple zeta-functions and their values at non-positive integers (English)
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17 June 2001
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analytic continuation
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Zagier's multiple zeta-function
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singularities
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values at the nonpositive integers
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This paper provides the analytic continuation of Zagier's multiple zeta-function \(\zeta_k (s_1,\dots, s_k)\) as a function of \(k\) complex variables \(s_1,\dots, s_k\). It describes the singularities and the values at the nonpositive integers. The results should be compared with those of \textit{J. Zhao} [Proc. Am. Math. Soc. 128, 1275-1283 (2000; Zbl 0949.11042)].
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