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math.CO2021★ 2 cited
Super Catalan Numbers and Fourier Summation over Finite Fields
Kevin Limanta, Norman J. Wildberger
We study polynomial summation over unit circles over finite fields of odd characteristic, obtaining a purely algebraic integration theory without recourse to infinite procedures. T…
math.CO2021
Permutation-generated maps between Dyck paths
Kevin Limanta, Hopein Christofen Tang, Yozef Tjandra
In 2003, Deutsch and Elizalde defined a family of bijective maps between the set of Dyck paths to itself which is induced by some particular permutations. In this paper, we extend…