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math.CO2025
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…
cs.SC2025★ 1 cited
Faster multivariate integration in D-modules
Hadrien Brochet, Frédéric Chyzak, Pierre Lairez
We present a new algorithm for solving the reduction problem in the context of holonomic integrals, which in turn provides an approach to integration with parameters. Our method ex…