Generalizations of Menon’s Arithmetic Identity

Melvyn B. Nathanson ()
Additional contact information
Melvyn B. Nathanson: Lehman College (CUNY), Department of Mathematics

A chapter in Number Theory in Memory of Eduard Wirsing, 2023, pp 245-256 from Springer

Abstract: Abstract Menon’s identity is ∑ a ∈ A ( a − 1 , m ) = d ( m ) φ ( m ) $$\sum _{a \in A} (a-1,m) = d(m) \varphi (m)$$ , where A is a reduced set of residues modulo m. This paper contains elementary proofs of generalizations of this result.

Keywords: Menon’s identity; Totient function; Greatest common divisor; Arithmetic function; Multiplicative function (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:spr:sprchp:978-3-031-31617-3_16

Ordering information: This item can be ordered from
http://www.springer.com/9783031316173

DOI: 10.1007/978-3-031-31617-3_16

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().