Alexander Dobner

activity

20202026

collaborators

4 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 $(d, L)$ , we construct a biject…

math.NT2021

Large deviations of the argument of the Riemann zeta function

Alexander Dobner

Let $S (t) = \frac{1}{π} ℑ lo g ζ (\frac{1}{2} + i t)$ . We prove an unconditional lower bound on the measure of the sets ${t \in [T, 2 T] : S (t) \geq V}$ for $\sqrt{\log\lo…

math.NT2020

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 ${ξ_{t} (s)}_{t \in R}$ of the Riemann xi function for which there exists…