TARU PUBLICATIONS
Author

R. Venkatraman

Department of Mathematics Faculty of Engineering and Technology SRM Institute of Science and Technology Vadapalani Campus No. 1, Jawaharlal Nehru Salai Vadapalani, Chennai, Tamil Nadu, 600026, India

ORCID 0000-0003-2760-6507
Published papers
2
Citations
0
Views
262
Downloads
10

Publications

2 papers
Open Access Research Article·pp. 2279–2288·Vol. 28, Issue 6Sep 2025

Exploring integral solutions for ternary Diophantine equations : A multi-technique approach

K. Manikandan, R. Venkatraman, C. Rajapandiyan

Published Online: 16 Sep 2025DOI: 10.47974/JDMSC-2224

In this paper: This research paper deals with the problem of finding non-zero integral solutions for a ternary Diophantine equation expressed as pw2 – (2p – 1)wz + pz2 = (k2 + 4p – 1)qr. The investigation explores t...

AbstractReferencesFull Text PDF (367 KB)Views: 165Downloads: 5Citations: 0
Open Access Research Article·pp. 2289–2296·Vol. 28, Issue 6Sep 2025

An exponential Diophantine equation x2 + 3a 73b = yn

S. Muthuvel, R. Venkatraman

Published Online: 16 Sep 2025DOI: 10.47974/JDMSC-2225

In this paper: This paper aims to identify all solutions in positive integers x and y (where x, y ≥ 1), with nonnegative exponents a and b, and an integer n ≥ 3, that satisfy the Diophantine equation x2 + 3a 73b = y...

AbstractReferencesFull Text PDF (427 KB)Views: 97Downloads: 5Citations: 0