Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Article

The Riemann zeta-function, its alternating version and their q-analogs

Published: 23.10.2013

Authors: Shishanin A.O.

Published in issue: #8(20)/2013

DOI: 10.18698/2308-6033-2013-8-867

Category: Basic science | Chapter: Physics

The Riemann zeta-function appears in different branches of physics and mathematics. Here we consider q-analogue for zeta-function and its alternating version. Their values at negative integer numbers are calculated using functional series. Euler’s formulas are obtained at the classical limit q→1.