26 citations · 144 across the 37 of their papers we have counts for
12 papers · 1 filter
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…
Sun's Series via Cyclotomic Multiple Zeta Values
Yajun Zhou
We prove and generalize several recent conjectures of Z.-W. Sun surrounding binomial coefficients and harmonic numbers. We show that Sun's series and their analogs can be represent…
Hyper-Mahler measures via Goncharov-Deligne cyclotomy
Yajun Zhou
The hyper-Mahler measures and are evaluated in closed form via Goncharov-Deligne periods, namely $\mat…
Wrońskian algebra and Broadhurst-Roberts quadratic relations
Yajun Zhou
Through algebraic manipulations on Wrońskian matrices whose entries are reducible to Bessel moments, we present a new analytic proof of the quadratic relations conjectured by Broad…
-linear dependence of certain Bessel moments
Yajun Zhou
Let and be modified Bessel functions of the zeroth order. We use Vanhove's differential operators for Feynman integrals to derive upper bounds for dimensions of the $\m…
Some algebraic and arithmetic properties of Feynman diagrams
Yajun Zhou
This article reports on some recent progresses in Bessel moments, which represent a class of Feynman diagrams in 2-dimensional quantum field theory. Many challenging mathematical p…
Wick rotations, Eichler integrals, and multi-loop Feynman diagrams
Yajun Zhou
Using contour deformations and integrations over modular forms, we compute certain Bessel moments arising from diagrammatic expansions in two-dimensional quantum field theory. We e…
Kontsevich-Zagier Integrals for Automorphic Green's Functions. II
Yajun Zhou
We introduce interaction entropies, which can be represented as logarithmic couplings of certain cycles on a class of algebraic curves of arithmetic interest. In particular, via in…