Shaoshi Chen | DeepAI

DeepAI AI Chat

Featured Co-authors

Yi Zhang
258 publications
Hui Huang
61 publications
Pingchuan Ma
47 publications
Manuel Kauers
30 publications
Christoph Koutschan
19 publications
Thibaut Verron
16 publications
Ziming Li
16 publications
George Labahn
15 publications
Hao Du
10 publications
Mark van Hoeij
8 publications
Qing-Hu Hou
6 publications

∙ 02/09/2023

Hermite Reduction for D-finite Functions via Integral Bases

Trager's Hermite reduction solves the integration problem for algebraic ...

0 Shaoshi Chen, et al. ∙

∙ 04/14/2022

Shift Equivalence Testing of Polynomials and Symbolic Summation of Multivariate Rational Functions

The Shift Equivalence Testing (SET) of polynomials is deciding whether t...

0 Shaoshi Chen, et al. ∙

∙ 02/13/2022

Stability Problems in Symbolic Integration

This paper aims to initialize a dynamical aspect of symbolic integration...

0 Shaoshi Chen, et al. ∙

∙ 02/12/2021

Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions

Bronstein's lazy Hermite reduction is a symbolic integration technique t...

0 Shaoshi Chen, et al. ∙

∙ 02/07/2021

Separability Problems in Creative Telescoping

For given multivariate functions specified by algebraic, differential or...

0 Shaoshi Chen, et al. ∙

∙ 01/17/2021

Telescopers for differential forms with one parameter

Telescopers for a function are linear differential (resp. difference) op...

0 Shaoshi Chen, et al. ∙

∙ 02/07/2020

Integral P-Recursive Sequences

In an earlier paper, the notion of integrality known from algebraic numb...

0 Shaoshi Chen, et al. ∙

∙ 04/25/2019

Constructing minimal telescopers for rational functions in three discrete variables

We present a new algorithm for constructing minimal telescopers for rati...

0 Shaoshi Chen, et al. ∙

∙ 01/27/2019

On the Existence of Telescopers for Rational Functions in Three Variables

Zeilberger's method of creative telescoping is crucial for the computer-...

0 Shaoshi Chen, et al. ∙

∙ 01/27/2019

Existence Problem of Telescopers for Rational Functions in Three Variables: the Mixed Cases

We present criteria on the existence of telescopers for trivariate ratio...

0 Shaoshi Chen, et al. ∙

∙ 02/27/2018

How to generate all possible rational Wilf-Zeilberger pairs?

A Wilf--Zeilberger pair (F, G) in the discrete case satisfies the equati...

0 Shaoshi Chen, et al. ∙

∙ 02/07/2018

Additive Decompositions in Primitive Extensions

This paper extends the classical Ostrogradsky-Hermite reduction for rati...

0 Shaoshi Chen, et al. ∙

∙ 06/28/2017

Bivariate Extensions of Abramov's Algorithm for Rational Summation

Abramov's algorithm enables us to decide whether a univariate rational f...

0 Shaoshi Chen, et al. ∙

∙ 05/02/2017

Apparent Singularities of D-finite Systems

We generalize the notions of singularities and ordinary points from line...

0 Shaoshi Chen, et al. ∙

∙ 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...

0 Shaoshi Chen, et al. ∙

∙ 09/13/2016

Some Open Problems related to Creative Telescoping

Creative telescoping is the method of choice for obtaining information a...

0 Shaoshi Chen, et al. ∙

∙ 02/01/2016

Reduction-Based Creative Telescoping for Algebraic Functions

Continuing a series of articles in the past few years on creative telesc...

0 Shaoshi Chen, et al. ∙

∙ 01/12/2016

Existence Problem of Telescopers: Beyond the Bivariate Case

In this paper, we solve the existence problem of telescopers for rationa...

0 Shaoshi Chen, et al. ∙

Are you a researcher?
Expose your work
to one of the largest
A.I. communities in the world