New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values John M. Campbell a ,
M. Lawrence Glasser b ,
Yajun Zhou cd a Department of Mathematics and Statistics, Dalhousie University,
Halifax, NS, B3H 4R2, Canada b Department of Physics, Clarkson University, Potsdam NY 13699, USA c Program in Applied and Computational Mathematics (PACM), Princeton University,
Princeton, NJ 08544, USA d Academy of Advanced Interdisciplinary Studies (AAIS), Peking University,
Beijing 100871, P.R. China Abstract:
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.
Keywords:
binomial coefficients; cyclotomic multiple zeta values; multiple polylogarithms.
MSC: 33B30 ,
11B65 ,
11M32 Received: March 26, 2024 ; in final form
August 28, 2024 ; Published online
September 3, 2024
Language: English
DOI:
10.3842/SIGMA.2024.079
© , 2024
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