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4 papers · 2 filters
Some characterizations of Sturmian words in terms of the lexicographic order
Michelangelo Bucci, Alessandro De Luca, Luca Q. Zamboni
In this paper we present three new characterizations of Sturmian words based on the lexicographic ordering of their factors.
Two truncated identities of Gauss
Victor J. W. Guo, Jiang Zeng
Two new expansions for partial sums of Gauss' triangular and square numbers series are given. As a consequence, we derive a family of inequalities for the overpartition function $\…
Two new triangles of -integers via -Eulerian polynomials of type and
Guoniu Han, Frédéric Jouhet, Jiang Zeng
The classical Eulerian polynomials can be expanded in the basis () with positive integral coefficients. This formula impl…
Impartial coloring games
Gabriel Beaulieu, Kyle Burke, Eric Duchêne
Coloring games are combinatorial games where the players alternate painting uncolored vertices of a graph one of colors. Each different ruleset specifies that game's colori…