15 citations · 20 across the 24 of their papers we have counts for
6 papers · 1 filter
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…
Some new results on determinants and permanents
Bo Jiang, Zhi-Wei Sun
In this paper we confirm several conjectures on determinants and permanents. For example, we prove that for any prime the number $2\det[a_{jk}]_{0\le j,k\le (p-1)…
Evaluation of two determinants involving -integers
Zhi-Wei Sun
The -analogue of an integer is given by . Let be an integer, and let be a positive odd integer. Via discrete Fourier transforms, we establish th…
Various conjectural series identities
Zhi-Wei Sun
In this paper we collect over 150 new series identities (involving binomial coefficients) conjectured by the author in 2026. The values involved are related to or Riemann's zet…
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…
On series identities involving and harmonic numbers
Bo Jiang, Zhi-Wei Sun
The harmonic numbers are those . In this paper we confirm over ten conjectural series identities with summands involving the binomial…