A. Logunov

activity

20132026

most citedOn ratios of harmonic functions

15 citations · 47 across the 16 of their papers we have counts for

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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.AP2026

Nested nodal loops of biharmonic functions

Javier Gómez-Serrano, Robert Koirala, Alexander Logunov

Given any $n\in\mathbb{N}$, we construct a real-valued biharmonic polynomial on $\mathbb{R}^2$ whose zero set contains a nest of $n$ smooth, disjoint topological loops, meani…