Identities for dirichlet and lambert-type series arising from the numbers of a certain special word
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Belgrade, Fac Electrical Engineering
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The goal of this paper is to give several new Dirichlet-type series associated with the Riemann zeta function, the polylogarithm function, and also the numbers of necklaces and Lyndon words. By applying Dirichlet convolution formula to number-theoretic functions related to these series, various novel identities and relations are derived. Moreover, some new formulas related to Bernoulli-type numbers and polynomials obtain from generating functions and these Dirichlet-type series. Finally, several relations among the Fourier expansion of Eisenstein series, the Lambert series and the number-theoretic functions are given.
Açıklama
Mediterranean International Conference of Pure and Applied Mathematics and Related Areas -- OCT 26-29, 2018 -- Antalya, TURKEY
Anahtar Kelimeler
Apostol-Bernoulli numbers, Dirichlet convolution, Dirichlet series, Generating function, Lambert series, Polylogarithm, Lyndon words, Necklace polynomial, Number-theoretic function
Kaynak
Applicable Analysis And Discrete Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
13
Sayı
3
