Given a sequence A of numbers and two positive integers and k, we study the problem to find k disjoint segments of A, each has length at least , such that their sum of densities i...
Given an algebraic number field K, such that [K : Q] is constant, we show that the problem of computing the units group O∗ K is in the complexity class SPP. As a consequence, w...
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...
We present an algorithm that, on input of a CM-field K, an integer k 1, and a prime r 1 mod k, constructs a q-Weil number OK corresponding to an ordinary, simple abelian variety ...