47 citations · 80 across the 6 of their papers we have counts for
6 papers
Super-A-polynomials for Twist Knots
Satoshi Nawata, P. Ramadevi, Zodinmawia +1
We conjecture formulae of the colored superpolynomials for a class of twist knots where p denotes the number of full twists. The validity of the formulae is checked by applyi…
The p-adic valuations of sequences counting alternating sign matrices
Xinyu Sun, Victor H. Moll
The p-adic valuations of a sequence of integers T(n) counting alternating sign matrices is examined for p=2 and p=3. Symmetry properties of their graphs produce a new proof of the…
A new algorithm for the recursion of multisums with improved universal denominator
Stavros Garoufalidis, Xinyu Sun
The purpose of the paper is to introduce two new algorithms. The first one computes a linear recursion for proper hypergeometric multisums, by treating one summation variable at a…
The non-commutative -polynomial of twist knots
Stavros Garoufalidis, Xinyu Sun
The purpose of the paper is two-fold: to introduce a multivariable creative telescoping method, and to apply it in a problem of Quantum Topology: namely the computation of the non-…
Lattice and Schroder paths with periodic boundaries
Joseph P. S. Kung, Anna de Mier, Xinyu Sun +1
We consider paths in the plane with and -steps that start at the origin, end at height and stay to the left of a given non-decreasing right boundary.…
The C-polynomial of a knot
Stavros Garoufalidis, Xinyu Sun
In an earlier paper the first author defined a non-commutative A-polynomial for knots in 3-space, using the colored Jones function. The idea is that the colored Jones function of a…