A. Kowalska

collaborators

4 papers

math.NT2026

Counting solutions to quadratic forms in eight prime variables of off-diagonal rank $3$

Aleksandra Kowalska

In this note we count the number of solutions to a non-degenerate quadratic form in eight prime variables of off-diagonal rank $3$ . It is a continuation of work by L. Zhao, who cou…

math.NT2025

Sárközy's theorem in $F_{2} [x]$

Aleksandra Kowalska

Green showed that, conditional on GRH, a subset $A \subseteq [N]$ with $∣ A ∣ ≫_{ε} N^{\frac{11}{12} + ε}$ must contain two elements whose difference is $p - 1$ for $p$ a prime.…

math.CO2025

A Generalisation of Sperner's Theorem Using Weighted Chains

Yaël Dillies, Matthew Johnson, Aleksandra Kowalska

We find the (unique) largest subset of ${0, 1, 2}^{n}$ such that it contains no two elements, one of which is coordinatewise greater than the other, but strictly greater on at most…

astro-ph.SR2025

Is the Symbiotic Recurrent Nova T CrB Late? Recent Photometric Evolution and Comparison with Past Pre-Outburst Behaviour

Jaroslav Merc, Łukasz Wyrzykowski, Paul G. Beck +46

T CrB is a symbiotic recurrent nova that last erupted in 1946. Given its recurrence timescale of approximately 80 years, the next outburst is eagerly anticipated by the astronomica…

Counting solutions to quadratic forms in eight prime variables of off-diagonal rank 3

Sárközy's theorem in F2​[x]

A Generalisation of Sperner's Theorem Using Weighted Chains

Is the Symbiotic Recurrent Nova T CrB Late? Recent Photometric Evolution and Comparison with Past Pre-Outburst Behaviour

Counting solutions to quadratic forms in eight prime variables of off-diagonal rank $3$

Sárközy's theorem in $F_{2} [x]$