2 problems
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Diagonal representation conjecture for staircase-polygon generating functions
The generating functions studied here are perimeter generating functions for three-choice, imperfect, and 1-punctured staircase polygons. A power series is a diagonal of a rational…
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Boukraa–Maillard conjecture on algebraic reductions of the four-coloured triangulation series
Boukraa–Maillard conjecture. The function reduces to an algebraic function modulo almost every prime, or power of a prime number.