Algebraic Arithmaric of The Remainders

The new Algebraic language has the purpose of describing the demonstrations of modular arithmatic in a diferente language, providing its theorems and axioms in totally new and diferente way from what has been done until now. And in it has the proof and demonstration of Catalan Conjecture.&nbsp

Direct proof through an equilateral hyperbola to find the infinite Pythagorean triples and a direct proof to find the sum of all odd numbers through a telescopic series

In this article a prove new properties like a connection with Pythagorean triples and a hiperbolic equation. I prove a direct proof about a serie, a telescopic series about the even sum and odd sum. I had an article that use this properties but this results is mine. I discovered this theorem and prove in this article