Seng-Chua Kok

activity

20212026

collaborators

3 papers

math.GM2026

Chebyshev polynomials and a refinement of the local residue/non-residue structure at a prime

Kok Seng Chua

The basic power function $t_{n} (x) = x^{n}$ is in some sense a classical limit for large $x$ , of the monictised Chebyshev polynomial of the first kind $T_{n} (x) / 2^{n - 1}$ . A theorem of Ritt…

math.NT2024

Inverting the wedge map and Gauss composition

Kok Seng Chua

Let $1 \leq k \leq n,$ and let $v_{1}, \dots, v_{k}$ be integral vectors in $Z^{n}$ . We consider the wedge map $α_{n,k} : (\mathbb{Z}^n)^k /SL_k(\mathbb{Z}) \rightarrow \wedge^k(\m…

math.NT2021

A p-adic identity for Wieferich primes

Kok Seng Chua

Let $n$ be a positive integer, $p$ be an odd prime and integers $a, b \neq = 0$ with $g c d (a, b) = 1$ , $p ∤ ab$ , and $p ∣ (a^{n} \pm b^{n})$ , we prove the identity $$ν_p(a^n \pm b^n)-ν_p(n…