The classes of $({\rm A}){\rm sh}_{m}$ and $({\rm B}){\rm sh}_{m}$ functions
Volume 132 / 2024
Annales Polonici Mathematici 132 (2024), 101-108
MSC: Primary 32U15; Secondary 32W20
DOI: 10.4064/ap230727-30-11
Published online: 27 February 2024
Abstract
We study Sadullaev’s hypothesis about equality of the classes of $({\rm A}){\rm sh}_{m} $ and $({\rm B}){\rm sh}_{m}$ functions. It has been shown that the hypothesis is true for $m=2$ (Sadullaev) and for $n\le 7,\, 1\le m\le n$ (Dinew). Here we prove that the hypothesis is true for $n=9$, $m=3$ and $n=8$, $m=3$ but it is not true for $n=10,\,m=3$.
