FORMULATION OF SEQUENCE OF INTEGER SOLUTIONS TO THE CONE

Gopalan M A; K. Meena; S. Vidhyalakshmi

VOLUME01ISSUE03

ABSRACT


This paper aims at determining a formula for generating sequence of integer solutions to the cone represented by the ternary quadratic diophantine equation given by  z=34 x2 + y2.

KEYWORDS


Integer Solutions, Cone.

REFERENCES


1 Gopalan M.A., Vidhyalakshmi S., Thiruniraiselvi N., “Observations on ”, DiophantusJ.Math , 2012; 1(2): 77-83.

2 Divya S., Gopalan M.A., Vidhyalakshmi S., “Lattice points on the homogeneous cone ”, The Experiment, 2013; 17(3): 1191-1199.

3 Gopalan M.A., Vidhyalakshmi S., Premalatha E., “On the homogeneous quadratic equation with 3 unknowns ”, Bull.Math.of Stat. Res., 2013; 1(1): 38-41.

4 Gopalan et al, “Integer points on the homogeneous cone ”, Indian journal of Science, 2014; 7(17): 6-10.

5 Geetha K., ManjuSomnath, Gopalan M.A., “A ternary quadratic diophantineequation ”, IJETER, Jan 2016; 4(1): 96-99.

6 Geetha V., Gopalan M.A., “Observations on ”, Transactions on Mathematics, July 2016; 2(3): 37-43.

7 Gopalan M.A., Vidhyalakshmi S., PresennaRamanand, “Generation formula for solutions to ternary quadratic diophantine equation”, International Journal of Advanced Research and Development, May 2018; 3(3): 78-79.

8 Vidhyalakshmi S., Gopalan M.A., AarthyThangam S., Generation formula for solutions to special ternary quadratic diophantine equations representing cones, International Journal of Applied Research, 2018; 4(6): 228-238.

AUTHOR’S AFFILIATION


GOPALAN M A
Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy- 620 002, TamilNadu, India.

K. MEENA
Former VC, Bharathidasan University, Trichy- 620 024, TamilNadu, India.

S. VIDHYALAKSHMI
Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy- 620 002, TamilNadu, India.

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