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Volume 5, Issue 4, August 2016, Page: 93-96
Some New Results About Trigonometry in Finite Fields
Habib Hosseini, Department of Mathematics, Firoozabad Branch, Islamic Azad University, Firoozabad, Iran
Naser Amiri, Department of Mathematics, Tehran Payame Noor University, Tehran, Iran
Received: Apr. 23, 2016;       Accepted: May 21, 2016;       Published: Jun. 17, 2016
DOI: 10.11648/j.pamj.20160504.11      View  3684      Downloads  169
In this paper we study about trigonometry in finite field, we know that , the field with p elements, where p is a prime number if and only if p = 8k + 1 or p = 8k + 1 or p = 8k + 1 or p = 8k−1. Let F and K are two field, we say that F is an extension of K, if KF or there exist a monomorphism f: KF. recall that , F[x] is the ring of polynomial over F. If K F (means that F is an extension of K) an element u εF is algebraic over K if there exists f(x) ε K[x] such that f(u)=0. The algebraic closure of K in F is , is the set of all algebraic elements in F over K.
Trigonometry, Finite Field, Primitive, Root of Unity
To cite this article
Habib Hosseini, Naser Amiri, Some New Results About Trigonometry in Finite Fields, Pure and Applied Mathematics Journal. Vol. 5, No. 4, 2016, pp. 93-96. doi: 10.11648/j.pamj.20160504.11
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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