A formal operator involving Fermatian numbers

In this note, old and new properties of Fermatian numbers $\underline{z}_n= \dfrac{1-z^n}{1-z}$ are recalled. A new formal operator is defined and some identities and extensions are discussed.

Authors

Carlos M. da Fonseca (ORCID: https://orcid.org/0000-0001-7742-4416)
A. G. Shannon (ORCID: https://orcid.org/0000-0003-0116-0666)

Publication Details

Journal: Notes on Number Theory and Discrete Mathematics
Published: 2024-09-26
DOI: https://doi.org/10.7546/nntdm.2024.30.3.491-498
Primary Topic: Advanced Mathematical Identities
Type: article
Field-Weighted Citation Impact: 0.00

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

A formal operator involving Fermatian numbers

Carlos M. da Fonseca, A. G. Shannon

Sep 26, 2024

Notes on Number Theory and Discrete Mathematics

Advanced Mathematical Identities

article

A formal operator involving Fermatian numbers

Carlos M. da Fonseca, A. G. Shannon

September 26, 2024article en

Abstract

In this note, old and new properties of Fermatian numbers $\underline{z}_n= \dfrac{1-z^n}{1-z}$ are recalled. A new formal operator is defined and some identities and extensions are discussed.

Notes on Number Theory and Discrete MathematicsVol. 30(3)

Openalex Percentile: Top 70%

Advanced Mathematical Identities

DOI Open Access PDF OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A formal operator involving Fermatian numbers — Carlos M. da Fonseca, A. G. Shannon · Notes on Number Theory and Discrete Mathematics (2024) | TGRS Research Map | TGRS