Jackson’s integral of the Hurwitz zeta function. (English) Zbl 1196.11120
Summary: We give a Jackson \(q\)-integral analogue of Euler’s logarithmic sine integral established in 1769 from several points of view, specifically from the one relating to the Hurwitz zeta function.
MSC:
| 11M36 | Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) |
Keywords:
Hurwitz’s zeta; Jackson’s integral; Lerch’s formula; Raabe’s integral formula; Double sine functionReferences:
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