English

A generalization of T\'oth identity in $\mathbb{F}_q[T]$ involving a Dirichlet Character

Number Theory 2023-01-19 v2

Abstract

Let A=Fq[T]\mathbb{A}=\mathbb{F}_q[T] be the polynomial ring over the finite field Fq\mathbb{F}_q. In this article, we prove a generalization of T\'oth identity on A\mathbb{A} involving arithmetical functions, multiplicative and additive characters.

Keywords

Cite

@article{arxiv.2206.03184,
  title  = {A generalization of T\'oth identity in $\mathbb{F}_q[T]$ involving a Dirichlet Character},
  author = {Esrafil Ali Molla and Subha Sarkar},
  journal= {arXiv preprint arXiv:2206.03184},
  year   = {2023}
}

Comments

18 pages