3 publication(s) trouvée(s)
Article scientifique
BURKHOLDER’S EXIT-TIME CONDITION VIA PROPER MAPS: SMIRNOV REGULARITY, HARDY–ORLICZ CRITERIA AND TORSION-TYPE PROBLEMS
Abstract Let $(Z_{t})_{t \geq 0}$ be a planar Brownian motion running in some domain W and denote by $\tau _{W}$ …
Article scientifique
ON THE ITERATES OF THE SHIFTED EULER’S FUNCTION
Abstract Let $\varphi $ be Euler’s function and fix an integer $k\ge 0$ . We show that for every initial …
Article scientifique
A VARIATION ON THE THEME OF NICOMACHUS
In this paper, we prove some conjectures of K. Stolarsky concerning the first and third moments of the Beatty sequences …