Formulation of Solutions of a Class of
Solvable Standard Quadratic Congruence of
Composite Modulus- an Odd Prime Positive
Integer Multiple of Eight

Prof. B M Roy

doi:https://doi.org/10.14445/22315373/IJMTT-V61P532

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P532 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P532

Formulation of Solutions of a Class of Solvable Standard Quadratic Congruence of Composite Modulus- an Odd Prime Positive Integer Multiple of Eight

Prof. B M Roy

Citation :

Prof. B M Roy, "Formulation of Solutions of a Class of Solvable Standard Quadratic Congruence of Composite Modulus- an Odd Prime Positive Integer Multiple of Eight," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 3, pp. 227-229, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P532

Abstract

In this study, a class of solvable standard quadratic congruence of composite modulus- an odd positive prime integer multiple of eight, is formulated. Formulae are established successfully and are tested true with suitable examples. No need to use Chinese Remainder Theorem. Formulation is the merit of the paper.

Keywords

Chinese Remainder Theorem, Composite modulus, Quadratic Congruence.

References

[1] Burton David M, Elementary Number Theory, Seventh Indian edition, Mc Graw Hill(Pvt) Ltd.
[2] Koshy Thomas, Elementary Number Theory with Applications, second edition,Indian Print, 2009.
[3] Roy B M , Discrete Mathematics & Number Theory, First edition, Das Ganu Prakashan, Nagpur (INDIA)
[4] Zuckerman at el, An Introduction to The Theory of Numbers, fifth edition, Wiley student edition, INDIA, 2008.