2 papers
math.NT2016
On the representation of friable integers by linear forms
Armand Lachand
Let denote the largest prime of the integer . Using the \begin{align*}Ψ\_{F\_1\cdots F\_t}\left(\mathcal{K}\cap[-N,N]^d,N^{1/u}\right):=\\#\left\{\mathcal{K}\in {\mathb…
cs.CR2014
Some mathematical remarks on the polynomial selection in NFS
Razvan Barbulescu, Armand Lachand
In this work, we consider the proportion of smooth (free of large prime factors) values of a binary form . In a particular case, we give an asymptotic equ…