Wednesday 29 November 2023

Special Dio 3-Tuples Involving Octagonal Pyramidal Numbers | Chapter 8 | Explorations in Diophantine Equations

 This chapter tries to build special Dio 3-tuples that satisfy the property that the product of any two of the triple's members subtracted by a non-zero integer or a polynomial with integer coefficients is a perfect square. The special Dio 3-tuples from octagonal pyramidal numbers of various ranks are also presented in each of the three parts along with the relevant features.


Author(s) Details:

C. Saranya,
PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

G. Janaki,
PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

R. Janani,
PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

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