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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief: Prof. Dr. Lalit Mohan Upadhyaya
About Journal More Archive Visit IndianJournals.com

Current Issue

COMPUTATION OF JACOBI SUMS AND CYCLOTOMIC NUMBERS WITH REDUCED COMPLEXITY

Md. Helal Ahmed1,*, Jagmohan Tanti2
Author’s Affiliation : 1Department of Mathematics, Central University of Jharkhand, Ranchi, Jharkhand 835205, India. E-mail: [email protected] 2 Department of Mathematics, Central University of Jharkhand, Ranchi, Jharkhand 835205, India. E-mail: [email protected]

Corresponding Author : Md. Helal Ahmed, Department of Mathematics, Central University of Jharkhand, Ranchi, Jharkhand 835205, India. ,
E-Mail:-[email protected]

Abstract

Jacobi sums and cyclotomic numbers are the important objects in number theory. The determination of all the Jacobi sums and cyclotomic numbers of order is merely intricate to compute. This paper presents the lesser numbers of Jacobi sums and cyclotomic numbers which are enough for the determination all Jacobi sums and the cyclotomic numbers of a particular order.

2010 Mathematics Subject Classification: Primary: 11T24, Secondary: 11T22.

Keywords

Character; Cyclotomic numbers; Jacobi sums; Finite fields; Cyclotomic polynomial

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