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arXiv · 1606.03837

Identities on the k-ary Lyndon words related to a family of zeta functions

Irem Kucukoglu·Yilmaz Simsek
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Abstract

The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785]. Finally, we give some identities on generating functions for the numbers of k-ary Lyndon words and some special numbers and polynomials such as the Apostol-Bernoulli numbers and polynomials, Frobenius-Euler numbers, Euler numbers and Bernoulli numbers.

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Irem Kucukoglu, Yilmaz Simsek. 2016-06-13. Identities on the k-ary Lyndon words related to a family of zeta functions. https://doi.org/10.1007/s00009-022-02191-3

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