Open AccessSome Results on a Generalized Version of Congruent Numbers
Author(s) -
Leomarich F. Casinillo,
Emily L. Casinillo
Publication year - 2021
Language(s) - English
DOI - 10.15408/inprime.v3i1.17922
Subject(s) - pythagorean triple , pythagorean theorem , mathematics , elliptic curve , combinatorics , algebra over a field , pure mathematics , geometry
This paper aims to construct a new formula that generates a generalized version of congruent numbers based on a generalized version of Pythagorean triples. Here, an elliptic curve equation is constructed from the derived generalized version of Pythagorean triples and congruent numbers and gives some new results.Keywords: Pythagorean triple, congruent number, elliptic curve equation. AbstrakArtikel ini bertujuan untuk mengkonstruksi formula baru yang membangun versi yang lebih umum dari bilangan-bilangan kongruen berdasarkan versi triple Pythagoras yang diperumum. Di sini, akan dikonstruksi suatu persamaan kurva eliptik dari triple Pythagoras dan bilangan-bilangan kongruen dalam versi yang diperumum untuk menghasilkan hasil-hasil yang baru.Kata kunci: triple Phytagoras, bilangan kongruen, persamaan kurva eliptik.2010 Mathematics subject classification: 11A07, 11A41, 11D45, 11G07.