E. Mulder

collaborators

2 papers

math.NT2026

Large smooth twins from short lattice vectors

Erik Mulder, Bruno Sterner, Wessel van Woerden

Finding the largest pair of consecutive $B$ -smooth integers is computationally challenging. Current algorithms to find such pairs have an exponential runtime -- which has only be p…

math.NT2026

Multi-target hyperbolic sieves and elliptic trace obstructions

Pantelimon StÄnicÄ, Erik Mulder, Markus Hittmeir

Let $N = pq$ be a semiprime and let $ℓ ∤ N a$ be an odd prime. The hyperbolic sieve set $H_{a} (N; ℓ) = {a x + N x^{- 1} : x \in F_{ℓ}^{*}}$ contains the residue of the linear form…