Bartosz Naskrkecki

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math.NT2025

Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

Stefan BaraÅczuk, Bartosz NaskrÄcki, Matteo Verzobio

Let $A$ be an abelian variety defined over a number field $K$ , $E / K$ be an elliptic curve, and $I ¨ : A \to E^{m}$ be an isogeny defined over $K$ . Let $P \in A (K)$ be such that $Ï(P)=(Q_…

math.NT2025

Second moments and the bias conjecture for the family of cubic pencils

Matija Kazalicki, Bartosz NaskrÄcki

For a 1-parametric family $E_{k}$ of elliptic curves over $Q$ and a prime $p$ , consider the second moment sum $M_{2, p} (E_{k}) = \sum_{k \in F_{p}} a_{k, p}^{2}$ , where $a_{k…