most citedOn a conjecture about the absence of an initial balanced pair for Pisot substitutions

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math.CO2017★ 1 cited

On a conjecture about the absence of an initial balanced pair for Pisot substitutions

Víctor F. Sirvent, Štěpán Starosta

Sellami and Sirvent conjectured that the balanced pair algorithm fails for the following pair of Pisot substitutions: \[ φ_0: \begin{array}{l} a \mapsto abc b \mapsto a c \mapsto a…

math.NT2016

A -Analogue of Poly-Euler Polynomials and Some Related Polynomials

Takao Komatsu, José L. Ramírez, Víctor F. Sirvent

In the present article, we introduce a -analogue of the poly-Euler polynomials and numbers by using the -polylogarithm function. These new sequences are generalizatio…