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TWO INTEGRAL REPRESENTATIONS FOR APÉRY CONSTANT AND ITS APPLICATIONS TO MULTIPLE ZETA VALUES (Analytic Number Theory and Related Topics)
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- KOBAYASHI, MASATO
- DEPARTMENT OF ENGINEERING, KANAGAWA UNIVERSITY
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Description
We generalize the proof of Basel problem by Boo Rim Choe (1987) to obtain two integral representations for Apéry constant. As applications, we also show integral representations for multiple values ζ(3, 2, ... , 2) and t(3, 2, ... , 2).
Journal
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- RIMS Kokyuroku
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RIMS Kokyuroku 2222 11-23, 2022-06
京都大学数理解析研究所
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Keywords
Details 詳細情報について
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- CRID
- 1050857063661393280
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- NII Book ID
- AN00061013
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- HANDLE
- 2433/277176
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- ISSN
- 18802818
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- IRDB