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math.NT2020
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…
math.NT2020
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…
math.NT2020
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…