1 citations · 1 across the 8 of their papers we have counts for
14 papers
Can we recover an integral quadratic form by representing all its subforms?
Wai Kiu Chan, Byeong-Kweon Oh
Let be the ring of integers of a totally real number field. If is a quadratic form over and is another quadratic form over which r…
Explicit Result on Equivalence of Rational Quadratic Forms Avoiding Primes
Wai Kiu Chan, Haochen Gao, Han Li
Given a pair of regular quadratic forms over which are in the same genus and a finite set of primes , we show that there is an effective way to determine a rational…
Hermite reduction and a Waring's problem for integral quadratic forms over number fields
Wai Kiu Chan, Maria Ines Icaza
We generalize the Hermite-Korkin-Zolotarev (HKZ) reduction theory of positive definite quadratic forms over and its balanced version introduced recently by Beli-Chan-Ic…
On the exceptional sets of integral quadratic forms
Wai Kiu Chan, Byeong-Kweon Oh
A collection of equivalence classes of positive definite integral quadratic forms in variables is called an -exceptional set if there exists a positive definite…
Small representations of integers by integral quadratic forms
Wai Kiu Chan, Lenny Fukshansky
Given an isotropic quadratic form over a number field which assumes a value , we investigate the distribution of points at which this value is assumed. Building on the previous…
A Finiteness theorem for positive definite strictly -regular quadratic forms
Wai Kiu Chan, Alicia Marino
An integral quadratic form is called strictly -regular if it primitively represents all quadratic forms in variables that are primitively represented by its genus. For any $…