\(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials
type: Item
instance of: scholarly article
title: \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials
zbMATH Open document ID: 1404.05010
author: Irem Kucukoglu
author: A. Bayad
author: Yilmaz Simsek
published in: Mediterranean Journal of Mathematics
publication date: 2018-01-31T00:00:00Z
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 11M35
Mathematics Subject Classification ID: 68R15
zbMATH DE Number: 6832614
zbMATH Keywords: Lyndon words
zbMATH Keywords: necklaces
zbMATH Keywords: generating function
zbMATH Keywords: special numbers and polynomials
zbMATH Keywords: Bernoulli numbers and polynomials
zbMATH Keywords: Apostol-Bernoulli numbers and polynomials
zbMATH Keywords: Stirling numbers of the second kind
zbMATH Keywords: arithmetical function
zbMATH Keywords: Hurwitz-Lerch zeta function
MaRDI profile type: Publication
full work available at URL: s00009-017-1025-4
OpenAlex ID: W2762590073
cites work: On the Lerch zeta function
cites work: The origins of combinatorics on words
cites work: Q3084190
cites work: Close Encounters with the Stirling Numbers of the Second Kind
cites work: Q4286075
cites work: Q5708323
cites work: Fast Algorithms to Generate Necklaces, Unlabeled Necklaces, and Irreducible Polynomials over GF(2)
cites work: Q4769056
cites work: Q3634481
cites work: A characterization of fine words over a finite alphabet
cites work: Interpolation Processes
cites work: Witt vectors and the algebra of necklaces
cites work: Free Lie algebras, generalized Witt formula, and the denominator identity
cites work: A note on generating functions for the unification of the Bernstein type basis functions
cites work: Q4341774
cites work: On Burnside's Problem
cites work: A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
cites work: Unified presentation of \(p\)-adic \(L\)-functions associated with unification of the special numbers
cites work: Witt's formula for restricted Lie algebras.
cites work: An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers
cites work: An Efficient Algorithm for Generating Necklaces with Fixed Density
cites work: Generating necklaces
cites work: A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers
cites work: Some formulas for the Bernoulli and Euler polynomials at rational arguments
cites work: Q3319049
cites work: Series associated with the zeta and related functions
cites work: Q3021451
DOI: 10.1007/S00009-017-1025-4
description: scientific article; zbMATH DE number 6832614