30Jun 2025

CYCLOTOMIC COSETS IN THE RING EQUATION

  • Department of Mathematics Govt. College Siwani (Bhiwani) (Haryana) India.
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We consider the ringR_(4p^n q^m )=GF(l)[x]/(x^(4p^n q^m )-1) where p,q,l are distinct odd primes,l is a primitive root both modulo p^n and q^m such that gcd (p^n), (q^m)) d.Explicit expressions for all the 4(m n d m n 1) Cyclotomic Cosets areobtained, p does not divide q 1 .


[Ranjeet Singh (2025); CYCLOTOMIC COSETS IN THE RING EQUATION Int. J. of Adv. Res. (Jun). 1216-1217] (ISSN 2320-5407). www.journalijar.com


Dr Ranjeet Singh
CBLU Bhiwani
India

DOI:


Article DOI: 10.21474/IJAR01/21184      
DOI URL: https://dx.doi.org/10.21474/IJAR01/21184