1 citations · 1 across the 3 of their papers we have counts for
6 papers
A note on the irrationality of
Li Lai, Johannes Sprang, Wadim Zudilin
In a spirit of Apéry's proof of the irrationality of , we construct a sequence of rational approximations to the -adic zeta value which satisfy $0 < |ζ_…
An integrality phenomenon
Florian Fürnsinn, Danylo Radchenko, Wadim Zudilin
We prove a general statement about the integrality of the sequences generated by a recursion of the following form: equals a linear combination of $u_{n-1},u_{n-2},\dots,u_0…
On Schultz's generalization of Borweins' cubic identity
Heng Huat Chan, Song Heng Chan, Zhi-Guo Liu +1
In 1991, the Borweins established a cubic analogue of Jacobi's identity for theta functions, which is used by B.C. Berndt, S. Bhargava, and F.G. Garvan in the development of Ramanu…
On cellular rational approximations to
Francis Brown, Wadim Zudilin
We analyse a certain family of cellular integrals, which are period integrals on the moduli space of curves of genus zero with eight marked points, and give ris…
A hyperelliptic saga on a generating function of the squares of Legendre polynomials
Mark van Hoeij, Duco van Straten, Wadim Zudilin
We decompose the generating function of the squares of Legendre polynomials as a product of periods of hyperelliptic curves. These periods…
A remarkable basic hypergeometric identity
Christian Krattenthaler, Wadim Zudilin
We give a closed form for of truncated basic hypergeometric series where the base is evaluated at roots of unity.