76 citations · 382 across the 37 of their papers we have counts for
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math.CO2012
On the Summability of Bivariate Rational Functions
Shaoshi Chen, Michael F. Singer
We present criteria for deciding whether a bivariate rational function in two variables can be written as a sum of two (q-)differences of bivariate rational functions. Using these…
math.CO2012
Residues and Telescopers for Rational Functions
Shaoshi Chen, Michael F. Singer
We give necessary and sufficient conditions for the existence of telescopers for rational functions of two variables in the continuous, discrete and q-discrete settings and charact…
cs.SC2012★ 9 cited
Telescopers for Rational and Algebraic Functions via Residues
Shaoshi Chen, Manuel Kauers, Michael F. Singer
We show that the problem of constructing telescopers for functions of m variables is equivalent to the problem of constructing telescopers for algebraic functions of m -1 variables…