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Mathematics. Articles in English (et en français dans le futur).

Properties of Cyclotomic Polynomials

In this post we study cyclotomic polynomials in field theory and deduce some baisc properties of it. We will also use it to solve some problems in field theory.
2022-09-22 Algebra Field Theory Galois Theory
# Exercise solution# Serge Lang
Properties of Cyclotomic Polynomials

Calculus on Fields - Heights of Polynomials, Mahler's Measure and Northcott's Theorem

We study the height of polynomials and derive some important tools.
2022-09-04 Algebra Number Theory Galois Theory Algebraic Number Theory
# Heights# Diophantus
Calculus on Fields - Heights of Polynomials, Mahler's Measure and Northcott's Theorem