Letong Hong

activity

20202022

most citedThe Pop-stack-sorting Operator on Tamari Lattices

8 citations · 32 across the 9 of their papers we have counts for

collaborators

9 papers

math.NT2022

Euler-Kronecker constants for cyclotomic fields

Letong Hong, Ken Ono, Shengtong Zhang

The Euler-Mascheroni constant $γ = 0.5772 \dots$ is the $K = Q$ example of an Euler-Kronecker constant $γ_{K}$ of a number field $K .$ In this note we consider the size of the $…

math.CO2022★ 8 cited

The Pop-stack-sorting Operator on Tamari Lattices

Letong Hong

Motivated by the pop-stack-sorting map on the symmetric groups, Defant defined an operator $Pop_{M} : M \to M$ for each complete meet-semilattice $M$ by $$\mathsf{Pop}_M(x)=…

math.CO2021★ 8 cited

Length-Four Pattern Avoidance in Inversion Sequences

Letong Hong, Rupert Li

Inversion sequences of length $n$ are integer sequences $e_{1}, \dots, e_{n}$ with $0 \leq e_{i} < i$ for all $i$ , which are in bijection with the permutations of length $n$ . In this paper,…

math.NT2021★ 1 cited

Proof of the elliptic expansion Moonshine Conjecture of Căldăraru, He, and Huang

Letong Hong, Michael H. Mertens, Ken Ono +1

Using predictions in mirror symmetry, Căldăraru, He, and Huang recently formulated a "Moonshine Conjecture at Landau-Ginzburg points" for Klein's modular $j$ -function at $j = 0$ and…

math.CO2021★ 3 cited

No extremal square-free words over large alphabets

Letong Hong, Shengtong Zhang

A word is square-free if it does not contain any square (a word of the form $X X$ ), and is extremal square-free if it cannot be extended to a new square-free word by inserting a sin…

math.CO2021★ 2 cited

A Markov chain on the solution space of edge-colorings of bipartite graphs

Letong Hong, Istvan Miklos

In this paper, we exhibit an irreducible Markov chain $M$ on the edge $k$ -colorings of bipartite graphs based on certain properties of the solution space. We show that diameter of…

math.NT2021★ 2 cited

Proof of the Ballantine-Merca Conjecture and theta function identities modulo 2

Letong Hong, Shengtong Zhang

For positive integers $m$ we consider the theta functions $f_{m} (z) := \sum_{mk + 1 square} q^{k}$ . Due to classical identities of Jacobi, it is known that $$f_4\equiv f_6f_{12}\pmo…

math.CO2020★ 6 cited

Towards Heim and Neuhauser's Unimodality Conjecture on the Nekrasov-Okounkov polynomials

Letong Hong, Shengtong Zhang

Let $Q_{n} (z)$ be the polynomials associated with the Nekrasov-Okounkov formula $n \geq 1 \sum Q_{n} (z) q^{n} := m = 1 \prod \infty (1 - q^{m})^{- z - 1} .$ In this paper we partially a…

math.NT2020★ 2 cited

On $L$ -Functions of Modular Elliptic Curves and Certain $K 3$ Surfaces

Malik Amir, Letong Hong

Inspired by Lehmer's conjecture on the nonvanishing of the Ramanujan $τ$ -function, one may ask whether an odd integer $α$ can be equal to $τ (n)$ or any coefficient of a newform $f(…

Euler-Kronecker constants for cyclotomic fields

The Pop-stack-sorting Operator on Tamari Lattices

Length-Four Pattern Avoidance in Inversion Sequences

Proof of the elliptic expansion Moonshine Conjecture of Căldăraru, He, and Huang

No extremal square-free words over large alphabets

A Markov chain on the solution space of edge-colorings of bipartite graphs

Proof of the Ballantine-Merca Conjecture and theta function identities modulo 2

Towards Heim and Neuhauser's Unimodality Conjecture on the Nekrasov-Okounkov polynomials

On L-Functions of Modular Elliptic Curves and Certain K3 Surfaces

On $L$ -Functions of Modular Elliptic Curves and Certain $K 3$ Surfaces