New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
Through the application of an evaluation technique based on cyclotomic multiple zeta values recently due to Au, we solve open problems on inverse binomial series that were included in a 2010 analysis textbook by Chen.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2024 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2024
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212341 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values. John M. Campbell, M. Lawrence Glasser and Yajun Zhou. SIGMA 20 (2024), 079, 14 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862539039722176512 |
|---|---|
| author | Campbell, John M. Glasser, M. Lawrence Zhou, Yajun |
| author_facet | Campbell, John M. Glasser, M. Lawrence Zhou, Yajun |
| citation_txt | New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values. John M. Campbell, M. Lawrence Glasser and Yajun Zhou. SIGMA 20 (2024), 079, 14 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Through the application of an evaluation technique based on cyclotomic multiple zeta values recently due to Au, we solve open problems on inverse binomial series that were included in a 2010 analysis textbook by Chen.
|
| first_indexed | 2026-03-12T18:47:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212341 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-12T18:47:11Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Campbell, John M. Glasser, M. Lawrence Zhou, Yajun 2026-02-05T09:53:31Z 2024 New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values. John M. Campbell, M. Lawrence Glasser and Yajun Zhou. SIGMA 20 (2024), 079, 14 pages 1815-0659 2020 Mathematics Subject Classification: 33B30; 11B65; 11M32 arXiv:2403.16945 https://nasplib.isofts.kiev.ua/handle/123456789/212341 https://doi.org/10.3842/SIGMA.2024.079 Through the application of an evaluation technique based on cyclotomic multiple zeta values recently due to Au, we solve open problems on inverse binomial series that were included in a 2010 analysis textbook by Chen. J.M.C. gratefully acknowledges support by a Killam Postdoctoral Fellowship from the Killam Trusts and wants to thank Karl Dilcher for useful feedback related to the sums investigated in this article. The research of Y.Z. was supported in part by the Applied Mathematics Program within the Department of Energy (DOE) Office of Advanced Scientific Computing Research (ASCR) as part of the Collaboratory on Mathematics for Mesoscopic Modeling of Materials (CM4). The authors are thankful for the expert reviewer feedback that has led to numerous improvements to this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values Article published earlier |
| spellingShingle | New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values Campbell, John M. Glasser, M. Lawrence Zhou, Yajun |
| title | New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values |
| title_full | New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values |
| title_fullStr | New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values |
| title_full_unstemmed | New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values |
| title_short | New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values |
| title_sort | new evaluations of inverse binomial series via cyclotomic multiple zeta values |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212341 |
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