3 papers
math.CO2026
A concise proof of cylindric Schur positivity
Alexander Dobner
Cylindric Schur functions are a family of symmetric functions that generalize skew Schur functions. We give a short proof that skew cylindric Schur functions expand positively in t…
math.CO2026
An RSK correspondence for cylindric tableaux
Alexander Dobner
This paper establishes an analogue of the Robinson--Schensted correspondence for cylindric tableaux. In particular, for any pair of positive integers , we construct a biject…
math.NT2026
A proof of Newman's conjecture for the extended Selberg class
Alexander Dobner
Newman's conjecture (proved by Rodgers and Tao in 2018) concerns a certain family of deformations of the Riemann xi function for which there exists…