Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2020
  • Volume: 12
  • Issue: 1

Generalized cyclotomic cosets modulo 4pn

  • Author:
  • Ranbir Singh1,, Vinod Kumar1,, Inderjit Singh2
  • Total Page Count: 4
  • Page Number: 93 to 96

1Deptt. of Mathematics, Baba Mast Nath University, Asthal Bohar, Rohtak

2Deptt. of Mathematics, Dayanand (P.G.) College, Hisar (Haryana), vs.inderjit@gmail.com

*E-mail: ranbirkadian26@gmail.com

**kakoriavinod@rediffmail.com

Online published on 28 May, 2020.

Abstract

Explicit expressions for all the 3(nd+1) cyclotomic cosets modulo 4pn over GF(l), where p, l are distinct odd primes, , o(l)4 =φ(4), gcd(φ(pn), φ(4))= d, p does not divide 3, are obtained.

Keywords

Cyclotomic cosets, Primitive roots. MSC(2010)11A03, 15A07, 11R09, 11T06, 11T22, 11T71, 94B05, 94B15