115 citations · 140 across the 12 of their papers we have counts for
17 papers
Algorithms for 2-Solvable Difference Equations
Heba Bou KaedBey, Mark Van Hoeij
Our paper "Solving Third Order Linear Difference Equations in Terms of Second Order Equations" gave two algorithms for solving difference equations in terms of lower order equation…
The Modularity of Z.-W. Sun's Conjectural Formulas for
Mark van Hoeij, Wei-Lun Tsai, Dongxi Ye
In this work, we establish modular parameterizations for two general formulas for that subsume conjectural Ramanujan type formulas due to Z.-W. Sun, which have remained…
Desingularization and p-Curvature of Recurrence Operators
Yi Zhou, Mark van Hoeij
Linear recurrence operators in characteristic are classified by their -curvature. For a recurrence operator , denote by the characteristic polynomial of its -cu…
A Family of Denominator Bounds for First Order Linear Recurrence Systems
Mark van Hoeij, Moulay Barkatou, Johannes Middeke
For linear recurrence systems, the problem of finding rational solutions is reduced to the problem of computing polynomial solutions by computing a content bound or a denominator b…
Computing an order complete basis for and Applications
Mark van Hoeij, Cristian-Silviu Radu
This paper gives a quick way to construct all modular functions for the group having only a pole at . We assume that we are given two modular functions …
Stringy Hirzebruch classes of Weierstrass fibrations
James Fullwood, Mark van Hoeij
A Weierstrass fibration is an elliptic fibration whose total space may be given by a global Weierstrass equation in a -bundle over . In this note, we…