International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

On the Non Linear Indeterminate Equation Ny2 m2 =x2

    ,

Author Affiliations

  • 1Department of Mathematics and Statistics Gurukula Kangri University, Haridwar-249404 Uttarakhand, INDIA
  • 2Department of Mathematics and Statistics Gurukula Kangri University, Haridwar-249404 Uttarakhand, INDIA

Res. J. Mathematical & Statistical Sci., Volume 2, Issue (6), Pages 1-3, June,12 (2014)

Abstract

Let m, N be non zero. This paper deals with The Principle of Composition (Brahmagupta's Composition law) 'Bhvan' and its some reflections of Modern Algebra using the non linear indeterminate equation Ny2+m2=x2

References

  1. Lenstra H.W., Solving the Pell Equation, notices AMS,49(2), 182-192 (2002)
  2. Murthy N.R. and M.N.S. Swamy, CryptographicApplications of Brahmagupta-Bhăskara equation, IEEETrans. Circuits Syst. I, Reg. Papers, 53(7), (2006)
  3. Gupta T.K. and Nidhi Handa, Computer Applications ofBrahmagupta-Bhăskara equation, New York (U.S.A)International Journal of Computer Applications (IJCA),ISSN-0975-8887, (2013)
  4. Dutta B. and Singh A.N., History of Hindu Mathematics, Part II, Asia publishing House (1962)
  5. Emch G.G., Sridharan R. and Srinivas M.D. (ed), Contributions to the History of Indian Mathematics, CHOM 3, H.B.A, 77-114 (2005)
  6. Lam. Katie, Pell’s Equation, Parabola, 38(2), (2002)
  7. Fraleigh J.B., A first course in Abstract Algebra PearsonEducation, (2004)
  8. Gallian J.A., Contemporary Abstract Algebra, 2nd Ed.Lexington, Mass: D.C. Heath,(1990)