Table of Content
M.A. Gopalan
Open AccessArticleSpecial characterizations of rectangles in connection with trimorphic numbers
J. Srilekha, M.A. Gopalan, S. Aarthy Thangam* and S. Vidhyalakshmi
Annals of Communications in Mathematics 2019,
2 (1),
17-23
DOI: https://doi.org/10.62072/acm.2019.020103
AbstractThis paper consists of two sections A and B. Section A exhibits rectangles, where, in each rectangle, the area added with its semi perimeter is a Trimorphic number. Section B presents rectangles, where, in each rectangle, the area minus its semi perimeter is a Trimorphic number.
Open AccessArticleNon-homogeneous Quinary Cubic Equation
M.A. Gopalan, N. Thiruniraiselvi* and Sharadha Kumar
Annals of Communications in Mathematics 2024,
7 (2),
95-99
DOI: https://doi.org/10.62072/acm.2024.070202
ABSTRACT.This article is discussed for finding non-zero different solutions in integers to the non-homogeneous cubic equation with five unknowns represented by \[(z^{3} - y^{3}) = (z^{3} - w^{3}) + 7t^{2}.\]Various choices of integer solutions to the above equation are obtained through employing linear transformations and simplification. Some special results based on the solutions are also discussed.