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  • 标题:An Identity in Commutative Rings with Unity with Applications to Various Sums of Powers
  • 本地全文:下载
  • 作者:Miomir Andjić ; Romeo Meštrović
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2017
  • 卷号:2017
  • DOI:10.1155/2017/9092515
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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