5 citations · 7 across the 11 of their papers we have counts for
12 papers
Composition laws of binary quadratic forms and isolations of quadratic forms
Jangwon Ju, Daejun Kim, Kyoungmin Kim +2
A positive definite and integral quadratic form is called irrecoverable if there is a quadratic form such that it represents all proper subforms of , whereas it does not…
Isolations of the sum of two squares from its proper subforms
Jangwon Ju, Daejun Kim, Kyoungmin Kim +2
For a (positive definite and integral) quadratic form , a quadratic form is said to be {\it an isolation of from its proper subforms} if it represents all proper subforms of…
Lifting problem for universal quadratic forms over totally real cubic number fields
Daejun Kim, Seok Hyeong Lee
Lifting problem for universal quadratic forms asks for totally real number fields that admit a positive definite quadratic form with coefficients in that is univer…
Theta series of ternary quadratic lattice cosets
Ben Kane, Daejun Kim
In this paper, we consider the decomposition of theta series for lattice cosets of ternary lattices. We show that the natural decomposition into an Eisenstein series, a unary theta…
Explicit Class number formulas for Siegel--Weil averages of ternary quadratic forms
Ben Kane, Daejun Kim, Srimathi Varadharajan
In this paper, we investigate the interplay between positive-definite integral ternary quadratic forms and class numbers. We generalize a result of Jones relating the theta functio…
Primitively universal quaternary quadratic forms
Jangwon Ju, Daejun Kim, Kyoungmin Kim +2
A (positive definite and integral) quadratic form is said to be if it represents all positive integers, and is said to be …