Rp 72 Formulation of Solutions of a Standard Cubic Congruence of Composite Modulus a Multiple of Four and Power of Three

In this study, a standard cubic congruence of composite modulus a multiple of four and power of three is considered. After a thorough study, formulation of the solutions of the said congruence are established in four different cases. It is found that the standard cubic congruence under consideration in case I has exactly three solutions for an odd positive integer and in case II, has six solutions for an even positive integer. In case III, it has nine solutions and in case IV, the congruence has exactly eighteen solutions. Formulations are the merit of the study. Prof B M Roy "Rp-72: Formulation of Solutions of a Standard Cubic Congruence of Composite Modulus-a Multiple of Four and Power of Three" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-3 , April 2020, URL: https://www.ijtsrd.com/papers/ijtsrd30762.pdf