Integer factoring

Arjen Lenstra
2000
Journal paper

Abstract

Using simple examples and informal discussions this article surveys the key ideas and major advances of the last quarter century in integer factorization.

Official source

https://infoscience.epfl.ch/record/149716?ln=en

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Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Integer factoring

Additive and geometric transversality of fractal sets in the integers

Toroidal families and averages of L-functions, I

Moments of the number of points in a bounded set for number field lattices

Additive and geometric transversality of fractal sets in the integers

Moments of the number of points in a bounded set for number field lattices

Toroidal families and averages of L-functions, I