Lee-Peng Teo

collaborators

3 papers

math.NT2025

Superior Highly Composite Numbers and the Explicit Upper Bound of Generalized Divisor Functions

Lee-Peng Teo

For $k \geq 2$ , we give a detailed exposition of the superior $k$ -highly composite numbers. We then consider the function \[f_k(n)=\frac{\log d_k(n)\log\log n}{\log k\log n},\quad n…

math.DG2025

Generalized Curvatures of Curves in $R^{n}$

Lee-Peng Teo

For a curve $I^^{3} : I \to R^{n}$ of order $n - 1$ , we prove that the generalized curvatures $I^º_{1}, \dots, I^º_{n - 1}$ can be expressed in terms of the leading principal mi…

math.NT2025

Explicit Bound of $∣ I^¶ (1 + i t) ∣$

Eunice Hoo Qingyi, Lee-Peng Teo

In this work, we show that for all $t \geq e$ , \[|Î¶(1+it)|\leq 0.6443 \log t. \] The equality is achieved when $t = 17.7477$ . We also use the Riemann-Siegel formula and numerical com…

Superior Highly Composite Numbers and the Explicit Upper Bound of Generalized Divisor Functions

Generalized Curvatures of Curves in Rn

Explicit Bound of ∣I^¶(1+it)∣

Generalized Curvatures of Curves in $R^{n}$

Explicit Bound of $∣ I^¶ (1 + i t) ∣$