Mingyu Kim

activity

20182020

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

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2020

Diagonal odd-regular ternary quadratic forms

Mingyu Kim

A (positive definite primitive integral) quadratic form is called odd-regular if it represents every odd positive integer which is locally represented. In this paper, we show that…

math.NT2020

Prime-universal diagonal quadratic forms

Jangwon Ju, Daejun Kim, Kyoungmin Kim +2

A (positive definite and integral) quadratic form is said to be $prime-universal$ if it represents all primes. Recently, Doyle and Williams in [2] classified all prime-uni…

math.NT2019

Regular ternary triangular forms

Mingyu Kim, Byeong-Kweon Oh

An integer of the form $T_{x} = \frac{x ( x + 1 )}{2}$ for some positive integer $x$ is called a triangular number. A ternary triangular form $a T_{x} + b T_{y} + c T_{z}$ for positive integers $a,b…

math.NT2018★ 2 cited

The number of representations by a ternary sum of triangular numbers

Mingyu Kim, Byeong-Kweon Oh

For positive integers $a, b, c$ , and an integer $n$ , the number of integer solutions $(x, y, z) \in Z^{3}$ of $a \frac{x ( x - 1 )}{2} + b \frac{y ( y - 1 )}{2} + c \frac{z ( z - 1 )}{2} = n$ i…