On the values of the weighted \(q\)-zeta and \(L\)-functions (Q764551)
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scientific article; zbMATH DE number 6014506
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the values of the weighted \(q\)-zeta and \(L\)-functions |
scientific article; zbMATH DE number 6014506 |
Statements
On the values of the weighted \(q\)-zeta and \(L\)-functions (English)
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13 March 2012
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Summary: Recently, the modified \(q\)-Bernoulli numbers and polynomials are introduced in [\textit{T. Kim} et al. [Abstr. Appl. Anal. 2011, Article ID 545314, 8 p. (2011; Zbl 1232.11028)]. These numbers are valuable to study the weighted \(q\)-zeta and \(L\)-functions. In this paper, we study the weighted \(q\)-zeta functions and weighted \(L\)-functions from the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\).
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