Diego Sejas-Viscarra- Bachelor of Science
- Visiting Researcher at Universidad Simón I. Patiño
Diego Sejas-Viscarra
- Bachelor of Science
- Visiting Researcher at Universidad Simón I. Patiño
About
4
Publications
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Introduction
Current institution
Universidad Simón I. Patiño
Current position
- Visiting Researcher
Publications
Publications (4)
The investigation of determining solutions for the Diophantine equation over the Gaussian integer ring for the specific case of is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analyt...
In this paper the zeroes of the polynomial F(x,z)=2x4−z3 in Gaussian integers Z[i] are determined, a problem equivalent to finding the solutions of the Diophatine equation x4+y4=z3 in Z[i], with a focus on the case x=y. We start by using an analytical method that examines the real and imaginary parts of the equation F(x,z)=0. This analysis sheds li...
This paper is concerned with the existence, types, and the cardinality of the integral solutions of the Diophantine equation x⁴ + y⁴ = 2kz³, for k > 1. The objective of this paper is to develop methods to be used in finding all integer solutions to this equation. Results of the study show the existence of infinitely many integral solutions to this...
