ARITHMETICAL FUNCTIONS IN SEVERAL VARIABLES-Reference-Cited by-同舟云学术

ARITHMETICAL FUNCTIONS IN SEVERAL VARIABLES

Published:2005-09 Issue:03 Volume:01 Page:383-399
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

ALKAN EMRE¹,ZAHARESCU ALEXANDRU¹,ZAKI MOHAMMAD¹

Affiliation:

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

Abstract

In this paper we investigate the ring Ar(R) of arithmetical functions in r variables over an integral domain R. We study a class of absolute values, and a class of derivations on Ar(R). We show that a certain extension of Ar(R) is a discrete valuation ring. We also investigate the metric structure of the ring Ar(R).

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179304210500025X

Reference13 articles.

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3. M. R. Murty, The Ramanujan τ Function (Academic Press, Boston, MA, 1988) pp. 269–288.

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