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Paper Title
RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime
Authors
Prof B M Roy
Keywords
Chinese Remainder Theorem, Legendre’s symbol, Quadratic congruence, Quadratic residue.
Abstract
In this current paper, the formulation of solutions of a standard quadratic congruence of even composite modulus-a product of twice an odd prime & power of another odd prime is considered. The formula is established after a detailed study of the solutions of the said congruence. Formulation is the merit of the paper. The findings say that the said congruence has exactly four incongruent solutions in one case where as it has 2p-solutions for an odd prime p; in another case it has exactly two solutions.
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IJRTI — journal style
"RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime", IJRTI - International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2456-3315, Vol.5, Issue 5, page no.70 - 74, May-2020, Available :https://ijrti.org/papers/IJRTI2005012.pdf
APA — 7th edition
Roy, B. M. (2020). RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime. International Journal for Research Trends and Innovation, 5(5), 70 - 74. https://ijrti.org/viewpaperforall.php?paper=IJRTI2005012
MLA — 9th edition
Roy, B M. "RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime." International Journal for Research Trends and Innovation, vol. 5, no. 5, 2020, pp. 70 - 74, https://ijrti.org/viewpaperforall.php?paper=IJRTI2005012.
Chicago — 17th, bibliography
Roy, B M. "RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime." International Journal for Research Trends and Innovation 5, no. 5 (2020): 70 - 74. https://ijrti.org/viewpaperforall.php?paper=IJRTI2005012.
Harvard — author–date
Roy, B.M. (2020) 'RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime', International Journal for Research Trends and Innovation, 5(5), pp. 70 - 74. Available at: https://ijrti.org/viewpaperforall.php?paper=IJRTI2005012
IEEE — numbered reference
B. M. Roy, "RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime," IJRTI, vol. 5, no. 5, pp. 70 - 74, May. 2020.
Vancouver — biomedical
Roy BM. RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime. IJRTI. 2020 May;5(5):70 - 74.
AMA — 11th edition
Roy BM. RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime. IJRTI. 2020;5(5):70 - 74. Accessed at https://ijrti.org/viewpaperforall.php?paper=IJRTI2005012
BibTeX — Zotero, Mendeley, LaTeX
@article{IJRTI2005012,
author = {B M Roy},
title = {RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime},
journal = {International Journal for Research Trends and Innovation},
volume = {5},
number = {5},
pages = {70 - 74},
year = {2020},
month = {May},
issn = {2456-3315},
url = {https://ijrti.org/viewpaperforall.php?paper=IJRTI2005012}
}
RIS — EndNote, RefWorks
TY - JOUR
AU - Roy, B M
TI - RP-60: Formulation of Solutions of Standard Quadratic Congruence of Even Composite modulus- a Product of twice an odd prime and power of another odd prime
T2 - International Journal for Research Trends and Innovation
JA - IJRTI
VL - 5
IS - 5
PY - 2020
SN - 2456-3315
UR - https://ijrti.org/viewpaperforall.php?paper=IJRTI2005012
SP - 70
EP - 74
ER -
Issue
Volume 5 Issue 5,
May-2020
Pages : 70 - 74
Other Publication Details
Paper Reg. ID
IJRTI_181256
Published Paper ID
IJRTI2005012
Downloads
205,638
Research Area
Applied Mathematics
Country
Goregaon, M. S., India
Published
May 2020
Published Paper PDF
https://ijrti.org/papers/IJRTI2005012.pdf
Published Paper URL
https://ijrti.org/viewpaperforall.php?paper=IJRTI2005012
About Publisher
International Journal for Research Trends and Innovation
Published by IJRTI (JW Publication)
2456-3315
ISSN
10.57
Impact Factor
2016
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Open
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Declarations
Funding
No external funding was received for this study.
Conflict of Interest
The authors declare that they have no conflict of interest.
Acknowledgements
The authors would like to thank the reviewers and the editorial board of International Journal for Research Trends and Innovation for their careful reading and constructive comments, and all colleagues who supported the preparation of this manuscript.
