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