An Identity in Commutative Rings with Unity with Applications to Various Sums of Powers

Miomir Andjić and Romeo Meštrović

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-7

Abstract:

Let be a commutative ring of characteristic ( may be equal to ) with unity and zero 0. Given a positive integer and the so-called -symmetric set such that for each , define the th power sum as , for We prove that for each positive integer there holds As an application, we obtain two new Pascal-like identities for the sums of powers of the first positive integers.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9092515

DOI: 10.1155/2017/9092515

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