54 citations · 220 across the 21 of their papers we have counts for
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cs.SC2016★ 1 cited
Reduction-Based Creative Telescoping for Fuchsian D-finite Functions
Shaoshi Chen, Mark van Hoeij, Manuel Kauers +1
Continuing a series of articles in the past few years on creative telescoping using reductions, we adapt Trager's Hermite reduction for algebraic functions to fuchsian D-finite fun…
cs.SC2016
The Complexity of Computing all Subfields of an Algebraic Number Field
Jonas Szutkoski, Mark van Hoeij
For a finite separable field extension K/k, all subfields can be obtained by intersecting so-called principal subfields of K/k. In this work we present a way to quickly compute the…
cs.SC2016
A Modular Algorithm for Computing Polynomial GCDs over Number Fields presented with Multiple Extensions
Mark van Hoeij, Michael Monagan
We consider the problem of computing the monic gcd of two polynomials over a number field L = Q(alpha_1,...,alpha_n). Langemyr and McCallum have already shown how Brown's modular G…