Year: 2024
Type: article
Abstract: In this paper, we solve three Diophantine equations: 2x±(2kp)y=z2 and −2x+(2k3)y=z2 with k≥0 and prime p≡±3(mod8). We obtain all the non-negative integer solutions by using elementary methods and the database of elliptic curves in “The L-functions and modular forms database” (LMFDB).
Source: Mathematics
DOI: 10.3390/math12244027
Authors: Yuan Li, Torre Lloyd, Angel Clinton
Institution: Winston-Salem State University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,955
OpenAlex ID: W4405722376