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

Autor:	Kucukoglu, Irem, Simsek, Yilmaz
Rok vydání:	2016
Předmět:	Mathematics - Number Theory 03D40 05A05 05A15 11A25 11B68 11B83 11F22 11S40 11M99 68R15 94B40
Zdroj:	Mediterranean Journal of Mathematics 19.268..2022
Druh dokumentu:	Working Paper
DOI:	10.1007/s00009-022-02191-3
Popis:	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. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1606.03837 Zobrazit plný text záznamu View this record from Arxiv