
Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions
Bronstein's lazy Hermite reduction is a symbolic integration technique t...
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Separability Problems in Creative Telescoping
For given multivariate functions specified by algebraic, differential or...
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Telescopers for differential forms with one parameter
Telescopers for a function are linear differential (resp. difference) op...
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Integral PRecursive Sequences
In an earlier paper, the notion of integrality known from algebraic numb...
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Constructing minimal telescopers for rational functions in three discrete variables
We present a new algorithm for constructing minimal telescopers for rati...
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On the Existence of Telescopers for Rational Functions in Three Variables
Zeilberger's method of creative telescoping is crucial for the computer...
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Existence Problem of Telescopers for Rational Functions in Three Variables: the Mixed Cases
We present criteria on the existence of telescopers for trivariate ratio...
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How to generate all possible rational WilfZeilberger pairs?
A WilfZeilberger pair (F, G) in the discrete case satisfies the equati...
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Additive Decompositions in Primitive Extensions
This paper extends the classical OstrogradskyHermite reduction for rati...
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Bivariate Extensions of Abramov's Algorithm for Rational Summation
Abramov's algorithm enables us to decide whether a univariate rational f...
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Apparent Singularities of Dfinite Systems
We generalize the notions of singularities and ordinary points from line...
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ReductionBased Creative Telescoping for Fuchsian Dfinite Functions
Continuing a series of articles in the past few years on creative telesc...
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Some Open Problems related to Creative Telescoping
Creative telescoping is the method of choice for obtaining information a...
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ReductionBased Creative Telescoping for Algebraic Functions
Continuing a series of articles in the past few years on creative telesc...
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Existence Problem of Telescopers: Beyond the Bivariate Case
In this paper, we solve the existence problem of telescopers for rationa...
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Shaoshi Chen
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