activity
20182026
most citedThe number of representations by a ternary sum of triangular numbers

2 citations · 2 across the 14 of their papers we have counts for

collaborators

15 papers

math.NT2026

Regular ternary sums of generalized polygonal numbers

Mingyu Kim

In this article, we provide an explicit constant such that there is no regular ternary sum of generalized -gonal numbers for any integer greater than .

math.NT2025

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…

math.NT2023

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…

math.NT2022

Regular triangular forms of rank exceeding 3

Mingyu Kim

A triangular form is defined to be an integer-valued quadratic polynomial of the form where are positive integers and $P_3(x)=x…

math.NT2022

A classification of regular diagonal quadratic forms

Mingyu Kim

A positive-definite integral quadratic form is called regular if it represents every positive integer which is locally represented. In this article, we classify all regular diagona…

math.NT2022

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 …