A. Logunov

activity

20172026

most citedA discrete harmonic function bounded on a large portion of

Z^{2}

is constant

7 citations · 12 across the 7 of their papers we have counts for

collaborators

Showing math.CAShow all

2 papers · 1 filter

math.CA2026

Estimating the number of real zeros of linear combinations of radicals of polynomials

Gal Binyamini, Avner Kiro, Alexander Logunov +2

We obtain upper bounds for the number of real zeros of functions of the form $f (x) = k = 1 \sum n c_{k} (P_{k} (x))^{α_{k}},$ where $c_{k}, α_{k} \in R$ and each $P_k…

math.CA2017★ 7 cited

A discrete harmonic function bounded on a large portion of $Z^{2}$ is constant

Lev Buhovsky, Alexander Logunov, Eugenia Malinnikova +1

An improvement of the Liouville theorem for discrete harmonic functions on $Z^{2}$ is obtained. More precisely, we prove that there exists a positive constant $ε$ …

Estimating the number of real zeros of linear combinations of radicals of polynomials

A discrete harmonic function bounded on a large portion of Z2 is constant

A discrete harmonic function bounded on a large portion of $Z^{2}$ is constant