249 citations · 1.5k across the 98 of their papers we have counts for
98 papers
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…
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_…
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.
A strange identity of an MF (Mahler function)
Wadim Zudilin
We relate two different solutions of a Mahler equation; one solution is only defined at certain roots of unity, while the other is an analytic function inside the unit disk.
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…