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RP-154: Formulation of Solutions of a Special Standard Cubic Congruence Modulo nth Power of an Odd Prime Multiplied by mth Power of Three

	International Journal of Scientific Research and Engineering Development (IJSRED)	Full Text:
	Published Issue : Volume-4 Issue-2
	Year of Publication : 2021
	Unique Identification Number : IJSRED-V4I2P40
	Authors : Prof B M Roy
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Abstract :

In the present paper, the author considered the standard cubic congruence of composite modulus for finding its solutions.It is found that the congruence has exactly 3p^2 solutions incongruent to each other. But no formulation for solutions of the congruence is found in the literature of Mathematics. Only Chinese Remainder Theorem (CRT) can be applied. It is time consuming method. Sometimes the individual congruence create difficulty for finding solutions. No separate formulation is found. Hence, the author established a formulation to find all the solutions at a time and presented here. The author’s formulation is very simple and time-saving.