3 papers
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.NT2017
On a Waring's problem for integral quadratic and hermitian forms
Constantin N. Beli, Wai Kiu Chan, Maria Ines Icaza +1
For each positive integer , let be the smallest integer such that if an integral quadratic form in variables can be written as a sum of squares of integra…
math.NT2013
A generalized Hermite constant and its computations for imaginary quadratic fields
Wai Kiu Chan, Maria Ines Icaza, Emilio A. Lauret
We introduce the projective Hermite constant for positive definite binary hermitian forms associated with an imaginary quadratic number field . It is a lower bound for the class…