CONSTRUCTION OF IRRATIONAL GAUSSIAN DIOPHANTINE QUADRUPLES
| Autor: | N. Thiruniraiselvi, M A Gopalan, S. Vidhyalakshmi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Mathematics::Dynamical Systems Gaussian integer Mathematics::Number Theory Diophantine equation Gaussian 0211 other engineering and technologies 02 engineering and technology Building and Construction Set (abstract data type) Combinatorics symbols.namesake 020901 industrial engineering & automation Integer Product (mathematics) Irrational number 021105 building & construction symbols Electrical and Electronic Engineering Square number Mathematics |
| Zdroj: | International Journal of Engineering Technologies and Management Research. 1:1-7 |
| ISSN: | 2454-1907 |
| DOI: | 10.29121/ijetmr.v1.i1.2015.20 |
| Popis: | Given any two non-zero distinct irrational Gaussian integers such that their product added with either 1 or 4 is a perfect square, an irrational Gaussian Diophantine quadruple ( , ) a0 a1, a2, a3 such that the product of any two members of the set added with either 1 or 4 is a perfect square by employing the non-zero distinct integer solutions of the system of double Diophantine equations. The repetition of the above process leads to the generation of sequences of irrational Gaussian Diophantine quadruples with the given property. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|