Haiyan Wang

activity

20212025

collaborators

6 papers

math.CV2025

Monogenic functions over real alternative *-algebras: the several hypercomplex variables case

Zhenghua Xu, Chao Ding, Haiyan Wang

The notion of monogenic (or regular) functions, which is a correspondence of holomorphic functions, has been studied extensively in hypercomplex analysis, including quaternionic, o…

math.NT2024

Congruence properties of the coefficients of the classical modular polynomials

Haiyang Wang

The classical modular polynomials $Φ_{ℓ} (X, Y)$ give plane curve models for the modular curves $X_{0} (ℓ) / Q$ and have been extensively studied. In this article, we provide…

math.NT2024

On the Kodaira types of elliptic curves with potentially good supersingular reduction

Haiyang Wang

Let $O_{K}$ be a Henselian discrete valuation domain with field of fractions $K$ . Assume that $O_{K}$ has algebraically closed residue field $k$ . Let $E / K$ be an el…

math.CV2024

Explicit Witt basis over the tensor product of Clifford algebras and octonions

Yong Li, Guangbin Ren, Haiyan Wang

In this article, we investigate how the Witt basis serves as a link between real and complex variables in higher-dimensional spaces. Our focus is on the detailed construction of th…

math.NT2023

Rational Spherical Triangles

Haiyang Wang

A rational spherical triangle is a triangle on the unit sphere such that the lengths of its three sides and its area are rational multiples of $π$ . Little and Coxeter have given ex…

math.NT2021

Integer Dynamics

Dino Lorenzini, Mentzelos Melistas, Arvind Suresh +2

Let $b \geq 2$ be an integer, and write the base $b$ expansion of any non-negative integer $n$ as $n = x_{0} + x_{1} b + \dots + x_{d} b^{d}$ , with $x_{d} > 0$ and $0 \leq x_{i} < b$ for $i=0,\dots,…