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02/17/2022
Desingularization and p-Curvature of Recurrence Operators
Linear recurrence operators in characteristic p are classified by their ...
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07/06/2020
A Family of Denominator Bounds for First Order Linear Recurrence Systems
For linear recurrence systems, the problem of finding rational solutions...
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01/12/2017
Functional Decomposition using Principal Subfields
Let f∈ K(t) be a univariate rational function. It is well known that any...
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11/22/2016
Reduction-Based Creative Telescoping for Fuchsian D-finite Functions
Continuing a series of articles in the past few years on creative telesc...
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06/09/2016
Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane
We study nearest-neighbors walks on the two-dimensional square lattice, ...
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06/05/2016
Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions and Integral Bases
We present two algorithms for computing hypergeometric solutions of seco...
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06/03/2016
The Complexity of Computing all Subfields of an Algebraic Number Field
For a finite separable field extension K/k, all subfields can be obtaine...
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01/06/2016