Junxuan Shen

collaborators

2 papers

math.CO2023

Structural Szemerédi-Trotter for Lattices and their Generalizations

Shival Dasu, Adam Sheffer, Junxuan Shen

We completely characterize point--line configurations with $Θ (n^{4/3})$ incidences when the point set is a section of the integer lattice. This can be seen as the main special case…

math.CA2018

Optimal bounds for a Gaussian Arithmetic-Geometric type mean by quadratic and contraharmonic means

Junxuan Shen

In this paper, we present the best possible parameters $α_{i}, β_{i} (i = 1, 2, 3)$ and $α_{4}, β_{4} \in (1/2, 1)$ such that the double inequalities \begin{align*} α_1Q(a,b)+(1-α_1)C(a,b)&<AG_{Q…