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Formulation of solutions of a class of standard cubic congruence of even composite modulus-a power of an odd positive integer multiple of a power of three

Author Affiliations

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

Res. J. Mathematical & Statistical Sci., Volume 7, Issue (2), Pages 30-32, May,12 (2019)

Abstract

In this paper, a special class of standard cubic congruence of even composite modulus- a power of an odd positive integer multiple of power of three- is formulated. The established-formula is tested true. First time, a formula is developed for the solutions of the standard cubic congruence of the said type. Without formulation, it was very difficult to find the solutions of such cubic congruence. Formulation makes it possible to do so. Here lies the merit of the paper.

References

  1. Thomas Koshy (2009)., Elementary Number Theory with Applications., 2/e (Indian print, 2009), Academic Press, Page No. 548, supplementary Exercises No.4, ISBN: 978-81-312-1859-4.
  2. Zuckerman H.S., Niven I. and Montgomery H.L. (1960)., An Introduction to The Theory of Numbers., 5/e, Wiley India (Pvt) Ltd, Page No. 136-136, Exercise-18, ISBN: 978-81-265-1811-1.
  3. Roy B.M. (2018)., Formulation of solutions of a class of standard cubic congruence modulo nth power of three., International Journal for Research Under Literal Access (IJRULA), 1(8), 254-257. www.ijrula.com /ARCHIVES.
  4. Roy B.M. (2018)., Formulation of solutions of a class of standard cubic congruence modulo an integer multiple of nth power of three., International Journal for Research Under Literal Access (IJRULA), 1(9), 297-300. www.ijrula.com / ARCHIVES
  5. Roy B.M. (2019)., Formulation of solutions of a class of standard cubic congruence modulo rth power of an integer multiple of nth power of three, International Journal of Recent Innovations In Academic research (IJRIAR)., 3(1). https://www.ijriar.com/docs, ISSN(online): 2635-3040, ISSN(print): 2659-1561.
  6. Roy B.M. (2019)., Formulation of a class of standard cubic congruence of even composite modulus., International Journal of Advance Research, Ideas and Innovations in Technology(IJARIIT), 5(1). https://www.ijariit.com, ISSN:2454-132X.
  7. Roy B.M. (2016)., Discrete Mathematics & Number Theory., 1/e, Das Ganu Prakashan, Nagpur, India, 88. ISBN: 978-93-84336-12-7.