International Journal of Engineering, Science and Mathematics

  • Year: 2019
  • Volume: 8
  • Issue: 12

Formulation of solutions of a special class of standard bi-quadratic congruence of composite modulus-an integer-multiple of power of an odd prime

  • Author:
  • B M Roy
  • Total Page Count: 4
  • Page Number: 1 to 4

M. Sc. (Maths), Hon. Ph. D., Hon. D. Sc. Head, Dept. of Mathematics Jagat Arts, Commerce & I H P Science College, Goregaon, Gondia, (M.S), India, Pin-441801 (Affiliated to RTM Nagpur University, Nagpur)

Online published on 4 January, 2021.

Abstract

In this paper, solutions of a special class of standard bi-quadratic congruence of composite modulus-an integer multiple of power of an odd prime- is formulated. The formula established is tested and verified true by citing numerical examples. The merit of the paper is the establishment of the formula. One need not use the preferred Chinese Remainder Theorem- a time consuming method.

Keywords

Bi-quadratic congruence, Composite modulus, Chinese Remainder Theorem, Prime-power integer, Formulation