Eric Li

collaborators

11 papers

math.CO2026

The Godsil--McKay Asymptotic for Latin Rectangles in the Sublinear Range of Erdős Problem 725

Eric Li

Erdős Problem 725 asks for an asymptotic formula for the number $L_{k, n}$ of ordered, labelled $k \times n$ Latin rectangles. Godsil and McKay proved that $L_{k,n}\sim (n!)^k((n)_k/…

math.CO2026

A Resolution of Erdős Problem 550 on Tree versus Complete Multipartite Ramsey Numbers

Eric Li

We resolve Erdős Problem 550, originally asked as question (2) of Erdős, Faudree, Rousseau, and Schelp. Precisely, for fixed integers $k \geq 2$ and $1 \leq m_{1} \leq \dots \leq m_{k}$ ,…

math.NT2026

A Resolution of Erdős Problem 731 under Dyadic Regularity

Eric Li

We resolve Erdős Problem 731 under the explicit dyadic-regularity formalization of "reasonable." Let $A (n)$ be the least positive integer not dividing $(n 2 n)$ . On dyadic in…

math.CO2026

A Resolution of Erdős Problems 593 and 1177: Obligatory Triple Systems and Exact Spectra

Eric Li

We resolve Erdős Problems #593 and #1177. Problem #593 asks which finite triple systems occur in every uncountably chromatic triple system; the answer is exactly the class generate…

math.NT2026

A Resolution of Erdős Problem 768: the Sylow Divisor Condition

Eric Li

We resolve Erdős Problem 768. Let $A (x)$ count the positive integers $n \leq x$ such that, for every prime $p ∣ n$ , there is a divisor $d > 1$ of $n$ with $d \equiv 1 (mod p)$ . Erdős…

math.NT2026

A resolution of Erdős Problem 1061 on the sum-of-divisors function

Eric Li

We resolve Erdős Problem 1061, the question whether the number \[ S(x)=\#\{(a,b)\in\mathbb{N}^2:a+b\le x, \ σ(a)+σ(b)=σ(a+b)\} \] of ordered solutions has a linear asymptotic $S(x)…