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math.CO2022
The Orbit-Sum Method for Higher Order Equations
Manfred Buchacher, Manuel Kauers
The orbit-sum method is an algebraic version of the reflection-principle that was introduced by Bousquet-Mélou and Mishna to solve functional equations that arise in the enumeratio…
math.CO2022
The Newton-Puiseux algorithm and effective algebraic series
Manfred Buchacher
We explain how to encode an algebraic series by finite data and how to do effective arithmetic on the level of these encodings. The reasoning is based on the Newton-Puiseux algorit…