From the 1 of 5 linked papers with an AI index.
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5 papers
Multiple Clausen values and deformed Apéry-like series
Zhi-Wei Sun, Yajun Zhou
The paper expresses deformed Apéry‑like series, defined via derivatives of generalized central binomial coefficients, in terms of multiple Clausen values, a subclass of cyclotomic…
Series involving central binomial coefficients and higher-order harmonic numbers
Zhi-Wei Sun, Yajun Zhou
We derive modular parametrizations for certain infinite series whose summands involve central binomial coefficients and higher-order harmonic numbers. When the rates of convergence…
Notes on certain binomial harmonic sums of Sun's type
Yajun Zhou
We prove and generalize some recent conjectures of Z.-W. Sun on infinite series whose summands involve products of harmonic numbers and several binomial coefficients. We evaluate v…
Fast converging irrational series for
Zhi-Wei Sun, Yajun Zhou
By exploring the theory of Guillera-Rogers, we evaluate some infinite series whose summands are quadratic irrationals, in terms of and special values of Dirichlet -function…
New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
John M. Campbell, M. Lawrence Glasser, Yajun Zhou
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…