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  • 标题:Representation by Quadratic Forms Over Field of the P-adic Numbers
  • 本地全文:下载
  • 作者:Ms. Chetna ; Dr. Hardeep Singh
  • 期刊名称:International Journal of Computer Science & Technology
  • 印刷版ISSN:2229-4333
  • 电子版ISSN:0976-8491
  • 出版年度:2016
  • 卷号:7
  • 期号:1
  • 页码:36-39
  • 语种:English
  • 出版社:Ayushmaan Technologies
  • 摘要:. In this paper, we attempt to find the solution of the quadratic forms over local field Qp and then we give the representation of elements by these quadratic forms in Qp. This paper provides the extension of the concept of congruence modulo p-adic integers and p-adic numbers and solves them. Further, we link it with congruence on the integers modulo powers of prime numbers. The properties of the p-adic numbers are also discussed and most importantly an attempt is being made to re-formulate the Hensal Lemma with a different approach.
  • 关键词:Quadratic Forms;Congruence;P-adic Number;P-adic Integer and Hensal Lemma
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