Letong Hong

activity

20202022

collaborators

4 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.NT2021

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

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

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

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