Detecting perfect powers by factoring into coprimes

This paper presents an algorithm that, given an integer n > 1, finds the largest integer k such that n is a kth power. A previous algorithm by the first author took time b1+o(1) where b = lg n; more precisely, time b exp(O(√lg b lg lg b)); conjecturally, time b(lg b)O(1) The new algorithm tak...

Полное описание

Библиографические подробности
Главные авторы: Bernstein, D, Lenstra Jr, HW, Pila, J
Формат: Journal article
Язык:English
Опубликовано: American Mathematical Society 2006