Recurrences and determinantal expressions for values of the Dirichlet L-function
Loading...
Date
2019
Authors
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
Altmetrics
Abstract
In this paper, by applying a certain Saalsch ütz–Gelfand type formulafor generalized Bernoulli numbers, we first studyshortenedrecurrence relations forthe values of the DirichletL-function attached to a primitive character at non-positive integers and then derive some detreminantal expressions for these values.Further, we discuss several kinds of infinite sums involving the Riemann zeta valuesat negative odd integers and establish some closed formulas for them by making useof special identities related to the reciprocals of central binomial numbers.
Description
Keywords
Citation
Mathematics for Applications. 2019 vol. 8, č. 1, s. 1-16. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/8_1/ma_8_1_agoh_final.pdf
http://ma.fme.vutbr.cz/archiv/8_1/ma_8_1_agoh_final.pdf
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky