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math.CO2026
Single-exponential bounds for diagonals of D-finite power series
Shaoshi Chen, Frédéric Chyzak, Pingchuan Ma +1
D-finite power series appear ubiquitously in combinatorics, number theory, and mathematical physics. They satisfy systems of linear partial differential equations whose solution sp…
math.CO2024
Bijections around Springer numbers
Shaoshi Chen, Yang Li, Zhicong Lin +1
Arnol'd proved in 1992 that Springer numbers enumerate the Snakes, which are type analogs of alternating permutations. Chen, Fan and Jia in 2011 introduced the labeled ballot p…
math.CO2024
Parallel Summation in P-Recursive Extensions
Shaoshi Chen, Ruyong Feng, Manuel Kauers +1
We propose investigating a summation analog of the paradigm for parallel integration. We make some first steps towards an indefinite summation method applicable to summands that ra…