F. Gawron

activity

20212026

collaborators

5 papers

math.NT2026

Congruences and ramified primes in fields of coefficients of newforms

Nuno Freitas, Filip Gawron

We investigate the splitting behavior of $ℓ$ in the coefficient field of a newform $f$ of level $N$ , under the assumption that $f$ is congruent modulo a prime above $ℓ$ to an…

math.NT2024

Signs behaviour of sums of weighted numbers of compositions

Filip Gawron, Maciej Ulas

Let $A$ be a subset of positive integers. For a given positive integer $n$ and $0 \leq i \leq n$ let $c_{A} (i, n)$ denotes the number of $A$ -compositions of $n$ with exactly $i$ parts…

math.NT2022

Signs behaviour of sums of weighted numbers of partitions

Filip Gawron, Maciej Ulas

Let $A$ be a subset of positive integers. By $A$ -partition of $n$ we understand the representation of $n$ as a sum of elements from the set $A$ . For given $i, n \in N$ , by $c_{A}(i,…

math.AG2022

$ℓ$ -away ACM Bundles on Fano Surfaces

Filip Gawron, Ozhan Genc

We propose the definition of $ℓ$ -away ACM bundle on a polarized variety $(X, O_{X} (h))$ . Then we give constructions of $ℓ$ -away ACM bundles on $(\mathbb{P}^2 , \mat…

math.NT2021

On length of the period of the continued fraction of $n d$

Filip Gawron, Tomasz Kobos

For a given quadratic irrational $α$ , let us denote by $D (α)$ the length of the periodic part of the continued fraction expansion of $α$ . We prove that for a positive integer $d$ ,…