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

Esrafil Ali Molla; Subha Sarkar

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arXiv · 2206.03184

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

Esrafil Ali Molla·Subha Sarkar

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Abstract

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

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Esrafil Ali Molla, Subha Sarkar. 2022-06-07. A generalization of T\'oth identity in $\mathbb{F}_q[T]$ involving a Dirichlet Character. https://arxiv.org/abs/2206.03184

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