Daejun Kim

activity

20192025

most citedThe pentagonal theorem of sixty-three and generalizations of Cauchy's lemma

1 citations · 2 across the 6 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 1 cited

The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma

Jangwon Ju, Daejun Kim

In this article, we study the representability of integers as sums of pentagonal numbers, where a pentagonal number is an integer of the form $P_{5} (x) = \frac{3 x ^{2} - x}{2}$ for some non…

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…