Accession Number:

ADA616421

Title:

When Do the Fibonacci Invertible Classes Modulo M Form a Subgroup?

Descriptive Note:

Conference paper

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS

Personal Author(s):

• Luca, Florian
• Stanica, Pantelimon
• Yalciner, Aynur

Report Date:

2012-06-01

Pagination or Media Count:

7.0

Abstract:

In this paper, we look at the invertible classes modulo M representable as Fibonacci numbers and we ask when these classes, say FM, form a multiplicative group. We show that if M itself is a Fibonacci number, then M or 8 if M is a Lucas number, then M or 7. We also show that if x or 3, the number of M or x such that FM is a multiplicative subgroup is Oxlog x exp 18.

Descriptors:

• *SEQUENCES(MATHEMATICS)

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE