6th International Young Scientist Congress (IYSC-2020) will be Postponed to 8th and 9th May 2021 Due to COVID-19. 10th International Science Congress (ISC-2020).  International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Formulation of solutions of a special class of standard quadratic congruence of even composite power modulus

Author Affiliations

  • 1Department of Mathematics, Jagat Arts, Commerce & I H P Science College, Goregaon, Dist-Gondia, MS-441801, India

Res. J. Mathematical & Statistical Sci., Volume 8, Issue (1), Pages 39-41, January,12 (2020)

Abstract

In this paper, a special class of standard quadratic congruence of even composite power modulus is formulated. Such congruence were not formulated by earlier mathematicians. Formulation made it possible to find the solutions orally. Thus the formulation of solutions of the said congruence is the merit of the paper. Also, the study of standard quadratic congruence becomes very interesting and easy. A large numbers of solutions can be calculated mentally. This is one more merit of the paper.

References

  1. Zuckerman H.S. (2008)., An Introduction to The Theory of Numbers., fifth edition, Wiley student edition, INDIA, ISBN: 978-81-265-1811-1.
  2. Thomas Koshy (2009)., Elementary Number Theory with Applications., 2/e Indian print, Academic Press, ISBN: 978-81-312-1859-4.
  3. Roy B.M. (2018)., A new method of finding solutions of a solvable standard quadratic congruence of comparatively large prime modulus., International Journal of Advanced Research, Ideas and Innovations in Technology (IJARIIT), ISSN: 2454-132X, Vol-4, Issue-3, May-Jun-18.
  4. Roy B.M. (2018)., Formulation of solutions of standard quadratic congruence of even composite modulus as a product of two odd primes & four., International Journal of Recent Innovations In Academic Research (IJRIAR), ISSN:2635-3040, Vol-2, Issue-2, Jun-18.
  5. Roy B.M. (2018)., Formulation of solutions of standard quadratic congruence of even composite modulus as a product of two odd primes & eight., International Journal of Advanced Research, Ideas and Innovations in Technology (IJARIIT), ISSN: 2454-132X, Vol-4, Issue-4, July-18.
  6. Roy B.M. (2018)., Formulation of solutions of some classes of standard quadratic congruence of composite modulus as a product of a prime-power integer by two or four., International Journal for Research Trends and Innovations (IJRTI), ISSN:2456-3315, Vol-3, Issue-5, May-18.
  7. Roy B.M. (2018)., Formulation of Standard Quadratic Congruence of Composite modulus as a product of prime-power integer and eight., International Journal of Science & Engineering Development Research (IJSDR), ISSN: 2455-2631, Vol-3, Issue-7, Jul-18.
  8. Roy B.M. (2018)., Formulation of solutions of a class of standard quadratic congruence of even composite modulus., International Journal of Science & Engineering Development Research (IJSDR), ISSN: 2455-2631, Vol-3, Issue-8, Jul-18.
  9. Roy B.M. (2018)., An Algorithmic Formulation of solving Standard Quadratic Congruence of Prime- power Modulus., International Journal of Advanced Research, Ideas and Innovations in Technology (IJARIIT), ISSN: 2454-132X, Vol-4, Issue-6, Dec-18.
  10. Roy B.M. (2019)., Formulation of a Class of Solvable Standard Quadratic Congruence of Even Composite Modulus., International Journal for Research Trends and Innovations (IJRTI), ISSN: 2456-3315, Vol-4, Issue-3, Mar-19.
  11. Roy B.M. (2019)., Formulation of Some Classes of Solvable Standard Quadratic Congruence modulo a Prime Integer - Multiple of Three & Ten., International Journal of Scientific Research and Engineering Development ( IJSRED), ISSN: 2581-7175, Vol-2, Issue-2, Mar-19.