Some New Results About Trigonometry in Finite Fields
Pure and Applied Mathematics Journal
Volume 5, Issue 4, August 2016, Pages: 93-96
Received: Apr. 23, 2016; Accepted: May 21, 2016; Published: Jun. 17, 2016
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Habib Hosseini, Department of Mathematics, Firoozabad Branch, Islamic Azad University, Firoozabad, Iran
Naser Amiri, Department of Mathematics, Tehran Payame Noor University, Tehran, Iran
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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
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