Some Remarkable Identities Involving Numbers

Some Remarkable Identities Involving Numbers

The article focuses on simple identities found for binomials, their divisibility, and basic inequalities. A general formula allowing factorization of the sum of like powers is introduced and used to prove elementary theorems for natural numbers.

Bibliographic Details
Main Author: Ziobro Rafał
Format: Article
Language:English
Published: Sciendo 2014-09-01
Series:Formalized Mathematics
Subjects:
identity
divisibility
inequations
powers
Online Access:https://doi.org/10.2478/forma-2014-0023
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spelling doaj-2b6d694457784e33a44e3332d1d259442021-09-05T21:01:03ZengSciendoFormalized Mathematics1898-99342014-09-0122320520810.2478/forma-2014-0023forma-2014-0023Some Remarkable Identities Involving NumbersZiobro Rafał0Department of Carbohydrate Technology University of Agriculture Krakow, PolandThe article focuses on simple identities found for binomials, their divisibility, and basic inequalities. A general formula allowing factorization of the sum of like powers is introduced and used to prove elementary theorems for natural numbers.https://doi.org/10.2478/forma-2014-0023identitydivisibilityinequationspowers
collection DOAJ
language English
format Article
sources DOAJ
author Ziobro Rafał
spellingShingle Ziobro Rafał
Some Remarkable Identities Involving Numbers
Formalized Mathematics
identity
divisibility
inequations
powers
author_facet Ziobro Rafał
author_sort Ziobro Rafał
title Some Remarkable Identities Involving Numbers
title_short Some Remarkable Identities Involving Numbers
title_full Some Remarkable Identities Involving Numbers
title_fullStr Some Remarkable Identities Involving Numbers
title_full_unstemmed Some Remarkable Identities Involving Numbers
title_sort some remarkable identities involving numbers
publisher Sciendo
series Formalized Mathematics
issn 1898-9934
publishDate 2014-09-01
description The article focuses on simple identities found for binomials, their divisibility, and basic inequalities. A general formula allowing factorization of the sum of like powers is introduced and used to prove elementary theorems for natural numbers.
topic identity
divisibility
inequations
powers
url https://doi.org/10.2478/forma-2014-0023
work_keys_str_mv AT ziobrorafał someremarkableidentitiesinvolvingnumbers
_version_ 1717781687038902272

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