International Journal of Scientific Research and Engineering Development( International Peer Reviewed Open Access Journal ) ISSN [ Online ] : 2581 - 7175 |
RP-149: Formulation of Solutions of Special Standard Quadratic Congruence of Composite Modulus Modulo A Power of Even Prime
International Journal of Scientific Research and Engineering Development (IJSRED) | ||
Published Issue : Volume-3 Issue-6 | ||
Year of Publication : 2020 | ||
Unique Identification Number : IJSRED-V3I6P77 | ||
Authors : Prof B M Roy | ||
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Abstract :
In this paper, the solutions of a special type of standard quadratic congruence of composite modulusis formulated. The congruencemodulo a power of an even prime in a special case is formulated for its solutions. Such type of congruence was already formulated by the earlier mathematicians but the formulation was incomplete. The formulation was only for some special odd positive integers. But no discussion was found on even perfect squares. Here the author consider the case for formulation of solutions and presented the formulation in this paper. It is found that in this special case, the congruence has exactly eight solutions. Formulation is the merit of the paper.