Pantelimon Stùanicùa

collaborators

3 papers

math.NT2026

Multi-target hyperbolic sieves and elliptic trace obstructions

Pantelimon Stănică, 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…

math.NT2026

On generalized Thabit numbers $(p + 1) p^{a} - 1$ in the $k$ -Lucas sequence

Herbert Batte, Florian Luca, Pantelimon Stănică

Let $k \geq 2$ and ${L_{n}^{(k)}}_{n \geq 2 - k}$ be the sequence of $k$ -Lucas numbers whose first $k$ terms are $0, \dots, 0, 2, 1$ and each term afterwards is the sum of the preceding $k…

cs.IT2020

Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application

Shuxing Li, Wilfried Meidl, Alexandr Polujan +3

For a function $f$ from $F_{2}^{n}$ to $F_{2}^{n}$ , the planarity of $f$ is usually measured by its differential uniformity and differential spectrum. In this paper, we p…

Multi-target hyperbolic sieves and elliptic trace obstructions

On generalized Thabit numbers (p+1)pa−1 in the k-Lucas sequence

Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application

On generalized Thabit numbers $(p + 1) p^{a} - 1$ in the $k$ -Lucas sequence