M. Bensimhoun

activity

20132021

most citedHistorical account and ultra-simple proofs of Descartes's rule of signs, De Gua, Fourier, and Budan's rule

7 citations · 7 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2021

Infinite sets of Mutually Coprime Locally Square-free Elements, Inside the Range of Polynomials with Values in Principal Ideal Domains

Michaël Bensimhoun

Let $R$ be a principal ideal domain and $K = quot (R)$ . Assume that $P_{1}, \dots P_{n} \in K [X]$ are polynomials which take $R$ to $\m…

math.GM2014

A note on the product of the conjugates of a polynomial

Michaël Bensimhoun

The theorem proved in this note, although elementary, is related to a certain misconception. If $K$ is a field, $f \in K [X]$ is separable and irreducible over $K$ , and $g$ is a poly…

math.HO2013

On the antiderivative of inverse functions

Michael Bensimhoun

One of the basics of calculus is the following proposition: If $F$ and $G$ are antiderivatives of two real functions $f$ and $g$ resp., then an antiderivative of $λ f + g$ is $λ F + G$ …

math.HO2013★ 7 cited

Historical account and ultra-simple proofs of Descartes's rule of signs, De Gua, Fourier, and Budan's rule

Michael Bensimhoun

It may seem a funny notion to write about theorems as old and rehashed as Descartes's rule of signs, De Gua's rule or Budan's. Admittedly, these theorems were proved numerous times…