ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS-Reference-Cited by-同舟云学术

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ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS

Published:2013-12 Issue:08 Volume:09 Page:1923-1932
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

STEINBERGER THOMAS¹,ZAHARESCU ALEXANDRU²,ZAKI MOHAMMAD¹

Affiliation:

1. Department of Mathematics, Ohio Northern University, 525 S Main Street, Ada, OH 45810, USA

2. Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA

Abstract

In this paper we present a short study of the ring of complex-valued arithmetic functions defined on the ring of Gaussian integers. We investigate an absolute value and the corresponding metric structure on this ring.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042113500668

Reference26 articles.

1. ARITHMETICAL FUNCTIONS IN SEVERAL VARIABLES

2. Unitary convolution for arithmetical functions in several variables

3. Multidimensional averages and Dirichlet convolution

4. The ring of number-theoretic functions

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