A Perusal of Special Polygonal Numbers in Relation to Nasty Numbers of the form \(6A^2\) A \(\in\) Z\(^+\) | Chapter 9 | Mathematics and Computer Science: Research Updates Vol. 5

This chapter is concerned with different patterns for finding the ranks of special polygonal numbers such that each of these m-gonal numbers, added or subtracted with non-zero integers, represents a square integer multiplied by six. The recurrence relation satisfied by the ranks of respective m-gonal numbers is presented. In addition, the method of determining the unequal ranks of two different polygonal numbers such that their linear combination is a square multiple of six has been exhibited.

Author (s) Details

 

N. Thiruniraiselvi
Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Trichy-620 002, Tamil Nadu, India.

 

M. A. Gopalan
Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Trichy-620 002, Tamil Nadu, India.

 

Sharadha Kumar
Department of Mathematics, National College, Affiliated to Bharathidasan University, Trichy- 620 001, Tamil Nadu, India.

 

 

Please see the book here:- https://doi.org/10.9734/bpi/mcsru/v5/5578