An analogue of Ramanujan’s identity for Bernoulli-Carlitz numbers

Published in: Quaestiones Mathematicae
Volume 49 , issue 4 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 489–503

DOI: 10.2989/16073606.2025.2597369

Author(s): Su Hu South China University of Technology, China, Min-Soo Kim Kyungnam University, Republic of Korea,

Keywords: 11R58, 11M06, 11B68, Ramanujan’s identity, zeta value, function fields, Goss zeta function, Bernoulli-Carlitz number,

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In his second notebook, Ramanujan discovered the following identity for the special values of ζ (s) at the odd positive integers