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

Published in: Quaestiones Mathematicae
Volume 49 , issue 4 , 2026 , 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

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

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