FACTORIZATION IN THE RING OF ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS

In this paper, we investigate the multiplicative structure of the ring of complex valued arithmetic functions defined on the ring of Gaussian integers, and show that this ring is a unique factorization domain.

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Publication Details

Journal
JP Journal of Algebra Number Theory and Applications
Published
2025-03-07
DOI
https://doi.org/10.17654/0972555525007
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

FACTORIZATION IN THE RING OF ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS

Jaki Chowdhury
JP Journal of Algebra Number Theory and Applications
Computability, Logic, AI Algorithms
article

FACTORIZATION IN THE RING OF ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS

Jaki Chowdhury
article en

Abstract

In this paper, we investigate the multiplicative structure of the ring of complex valued arithmetic functions defined on the ring of Gaussian integers, and show that this ring is a unique factorization domain.

JP Journal of Algebra Number Theory and Applications
Openalex Percentile: Top 95%
Computability, Logic, AI Algorithms
DOIOpen Access PDFOpenAlex
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FACTORIZATION IN THE RING OF ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS — Jaki Chowdhury · JP Journal of Algebra Number Theory and Applications (2025) | TGRS Research Map | TGRS