26 citations · 144 across the 37 of their papers we have counts for
37 papers
Galois descents of certain multiple polylogarithms
Yajun Zhou
We prove some conjectures of K. C. Au concerning the descents of cyclotomic levels in certain sums over multiple polylogarithms. Via answers to a question of Au in some particular…
Multiple Clausen values and deformed Apéry-like series
Zhi-Wei Sun, Yajun Zhou
With generalized central binomial coefficients defined through Euler's gamma function, we represent deformed Apéry-like series \[ \math…
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…
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 -functions…
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…
Multiple elliptic integrals and differential equations
John M. Campbell, M. Lawrence Glasser, Yajun Zhou
We introduce and prove evaluations for families of multiple elliptic integrals by solving special types of ordinary and partial differential equations. As an application, we obtain…