On The Integral Solutions Of The Binary Quadratic Equation x2=15y2-11t
Journal Title: Scholars Journal of Engineering and Technology - Year 2014, Vol 2, Issue 2
Abstract
The binary quadratic Diophantine equation represented by , t odd is analysed for its non-zero distinct integer solutions. Employing the lemma of Brahmagupta, infinitely many integral solutions of the above Pell equation are obtained. The recurrence relations on the solutions are also presented. A few interesting relations among the solutions are given. Further, there exist no integer solutions when t is even. Keywords: Binary quadratic, Pell equation., Integer solutions
Authors and Affiliations
M. A. Gopalan, S. Vidhyalakshmi, A. Kavitha
Keywords
Related Articles
- EP ID EP384139
- DOI -
- Views 99
- Downloads 0
Filteration of Unwanted Text Messages from Online Social Networks: A Review
Now-a-days, Online Social Networking sites are important part of human society. In other way a person maintains a social networking site account which is then used for the following purposes like building relations, for...
Gaussian Fuzzy Membership Function for Enhancement of Different Medical Images
Disease is a cause which originates the need of treatment, whenever there is any kind of suspicion, person tends to visit specialist for diagnose. Diagnose of disease tissues is crucial task in order to take right decisi...
Synthesis of polypyrrole coated oxidized multi-walled carbon nanotubes nanocomposite for the removal of Cr (VI) from potable water
Polypyrrole (PPy) coated oxidized multi-walled carbon nanotube (PPy-OCNT NC) based nanocomposites were successfully synthesized. They were used as novel adsorbent for the removal of hexavalent chromium Cr (VI) from aqueo...
Exploration of Low-technology Energy Conservation Design for Natatorium
Sustainable economic development requires the building of a conservation-minded society. Therefore, it is an architect’s obligation to realize the goal of building energy efficiency. High-tech energy-saving technology fo...
The application of wavelet bilinear interpolation algorithm in research of well log similarity
Well log is a data manifestation of geographical, chemical, physical and other information detected in different geological environment and formation condition by means of different well log methods. Aiming at the noise...