19 citations · 110 across the 59 of their papers we have counts for
6 papers · 1 filter
Flag statistics from the Ehrhart series of multi-hypersimplices
Guo-Niu Han, Matthieu Josuat-Vergès
It is known that the normalized volume of standard hypersimplices (defined as some slices of the unit hypercube) are the Eulerian numbers. More generally, a recent conjecture of St…
Explicit evaluations of the Hankel determinants of a Thue--Morse-like sequence
Guo-Niu Han, Wen Wu
We obtain the explicit evaluations of the Hankel determinants of the formal power series where , and prove that the sequence of…
Hankel continued fraction and its applications
Guo-Niu Han
The Hankel determinants of a given power series can be evaluated by using the Jacobi continued fraction expansion of . However the existence of the Jacobi continued fraction…
On -extensions of the Hankel determinants of certain automatic sequences
Hao Fu, Guo-Niu Han
In 1998, Allouche, Peyrière, Wen and Wen considered the Thue--Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integral numbers.…
A combinatorial proof of the non-vanishing of Hankel determinants of the Thue--Morse sequence
Yann Bugeaud, Guo-Niu Han
In 1998, Allouche, Peyrière, Wen and Wen established that the Hankel determinants associated with the Thue--Morse sequence on are always nonzero. Their proof depends on…
Hankel Determinant Calculus for the Thue-Morse and related sequences
Guo-Niu Han
The Hankel determinants of certain automatic sequences are evaluated, based on a calculation modulo a prime number. In most cases, the Hankel determinants of automatic sequence…