Arithmetic progressions that consist only of reduced residues

Paul A. Tanner

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-8

Abstract:

This paper contains an elementary derivation of formulas for multiplicative functions of m which exactly yield the following numbers: the number of distinct arithmetic progressions of w reduced residues modulo m ; the number of the same with first term n ; the number of the same with mean n ; the number of the same with common difference n . With m and odd w fixed, the values of the first two of the last three functions are fixed and equal for all n relatively prime to m ; other similar relations exist among these three functions.

Date: 2001
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/26/340571.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/26/340571.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:340571

DOI: 10.1155/S0161171201006123

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().