3 papers
math.NT2025
Predicting the size ranking of minimal primes in the generalised Goldbach partitions
Zsófia Juhász, Máté Bartalos
A scarcely known generalization of Goldbach's conjecture introduced by Hardy and Littlewood states that for every pair of (relatively prime) positive integers m1 and m2, every suff…
math.CO2023
A problem equivalent to counting directed acyclic graphs on labeled vertices
Zsófia Juhász
An encoding of directed acyclic graphs (DAGs) on labeled vertices is proposed, which is a generalisation of the Prüfer code for labeled trees, if a certain orienation on the edges…
math.GM2023
Empirical verification of a new generalisation of Goldbach's conjecture up to (or ) for all coefficients
Zsófia Juhász, Máté Bartalos, Péter Magyar +1
A new generalisation of Goldbach's conjecture (GGC) - also generalising that of Lemoine - is tested, introduced by the first author. It states that for every pair of positive integ…