75 citations · 402 across the 82 of their papers we have counts for
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cs.CC2012
Hypercontractive inequalities via SOS, and the Frankl--Rödl graph
Manuel Kauers, Ryan O'Donnell, Li-Yang Tan +1
Our main result is a formulation and proof of the reverse hypercontractive inequality in the sum-of-squares (SOS) proof system. As a consequence we show that for any constant $0 <…
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…
cs.SC2012
Order-Degree Curves for Hypergeometric Creative Telescoping
Shaoshi Chen, Manuel Kauers
Creative telescoping applied to a bivariate proper hypergeometric term produces linear recurrence operators with polynomial coefficients, called telescopers. We provide bounds for…