In this paper, the author considered a very general type of standard quadratic congruence of composite modulus an eighth multiple of product of two odd primes for reformulation of its solutions. The author’s first formulation was very simple but readers had to use many formulae for its solutions. Now the reformulation reduces the numbers of formulae for solutions. The discovered formula is justified and verified by using some required suitable numerical examples. The congruence is first time formulated. It is the merit of the paper. The existed method is complicated and time consuming. Now a time saving formulation is obtained. Prof B M Roy "RP-56: Reformulation of Solutions of a Standard Quadratic Congruence of Composite Modulus- An Eighth Multiple of a Product of Two Odd Primes" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020, URL: https://www.ijtsrd.com/papers/ijtsrd33407.pdf Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/33407/rp56-reformulation-of-solutions-of-a-standard-quadratic-congruence-of-composite-modulus-an-eighth-multiple-of-a-product-of-two-odd-primes/prof-b-m-roy
International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 4 Issue 6, September-October 2020 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD33407 | Volume – 4 | Issue – 6 | September-October 2020
Page 527
RP-56: Reformulation of Solutions of a Standard Quadratic
Congruence of Composite Modulus- An Eighth Multiple of a
Product of Two Odd Primes
Prof B M Roy
Head, Department of Mathematics, Jagat Arts, Commerce & I H P Science College, Goregaon, Maharashtra, India
(Affiliated to R T M Nagpur University, Nagpur)
ABSTRACT
In this paper, the author considered a very general type of standard
quadratic congruence of composite modulus- an eighth multiple of product
of two odd primes for reformulation of its solutions. The author’s first
formulation was very simple but readers had to use many formulae for its
solutions. Now the reformulation reduces the numbers of formulae for
solutions. The discovered formula is justified and verified by using some
required suitable numerical examples. The congruence is first time
formulated. It is the merit of the paper. The existed method is complicated
and time-consuming. Now a time-saving formulation is obtained.
KEYWORDS: Chinese Remainder Theorem (CRT), Composite modulus, odd
primes, Quadratic Congruence
How to cite this paper: Prof B M Roy
"RP-56: Reformulation of Solutions of a
Standard Quadratic Congruence of
Composite Modulus- An Eighth Multiple
of a Product of Two
Odd
Primes"
Published
in
International
Journal of Trend in
Scientific Research
and
Development
(ijtsrd), ISSN: 2456-
6470, Volume-4 | Issue-6, October 2020,
pp.527-529,
URL:
www.ijtsrd.com/papers/ijtsrd33407.pdf
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