works on
apery-like series 1central binomial coefficients 1cyclotomic multiple zeta values 1multiple clausen values 1special functions 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.NT2026

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…

math.NT2026

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…

math.NT2026

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…

math.NT2025

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…