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Jackson’s integral of the Hurwitz zeta function

Authors :
Masato Wakayama
Nobushige Kurokawa
Katsuhisa Mimachi
Source :
Rendiconti del Circolo Matematico di Palermo. 56:43-56
Publication Year :
2007
Publisher :
Springer Science and Business Media LLC, 2007.

Abstract

We give a Jacksonq-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.

Subjects

Subjects :
Pure mathematics
Polylogarithm
Mathematics::Number Theory
General Mathematics
Mathematical analysis
Bernoulli polynomials
Riemann zeta function
Hurwitz zeta function
symbols.namesake
Arithmetic zeta function
Digamma function
symbols
Polygamma function
Prime zeta function
Mathematics

Details

ISSN :
19734409 and 0009725X
Volume :
56
Database :
OpenAIRE
Journal :
Rendiconti del Circolo Matematico di Palermo
Accession number :
edsair.doi...........1d1433cca425b9e72ee6b2464484580e
Full Text :
https://doi.org/10.1007/bf03031427
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