Note on Type L-Functions of Euler Product of Second Degree

Hakami, Ali H.

doi:10.28924/2291-8639-21-2023-135

Research Article

Note on Type L-Functions of Euler Product of Second Degree

Ali H. Hakami

Abstract

In this paper we are concerned with a special case of Euler functions. We shall study the Euler product of degree two (Type of L-Euler functions) and give some results. More precisely, we shall deal with some Dirichlet series associated with a class of arithmetic {a_n} under the condition that a_pa_pk = a_pk+1 + p^αa_pk₋₁, provided p is prime, k≥1, and α is a fixed complex number. We will demonstrate that there is an Euler’s product for the Dirichlet series Σ_na_n/n^s. This result is important in analysis, especially in analytic number theory.

How to Cite

A. H. Hakami, Note on Type L-Functions of Euler Product of Second Degree, Int. J. Anal. Appl. 21 (2023), 135. https://doi.org/10.28924/2291-8639-21-2023-135

BibTeX

@article{Hakami2023,
  author  = {Hakami, Ali H.},
  title   = {Note on Type L-Functions of Euler Product of Second Degree},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {135},
  doi     = {10.28924/2291-8639-21-2023-135}
}

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