Dayoon Park

activity

20192021

m

-gonal forms

1 citations · 2 across the 10 of their papers we have counts for

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math.NT2021

Representation of $m$ -gonal forms over $N_{0}$ and a finiteness theorem for universal original version's $m$ -gonal forms

Dayoon Park

In this article, we consider the representation of $m$ -gonal forms over $N_{0}$ . We show that any $m$ -gonal forms over $N_{0}$ of rank $\geq 5$ is almost regular and pon…

math.NT2021

Non-almost regular quaternary $m$ -gonal forms

Dayoon Park

The maximal $n$ which admits a non-almost regular $m$ -gonal form of rank $n$ is $4$ . In this article, we consider the $m$ -gonal forms of rank $4$ which is not almost regular.

math.NT2021

Representations of almost regular m-gonal forms II

Dayoon Park

It is known that any $m$ -gonal form of rank $n \geq 5$ is almost regular. On the other words, any $m$ -gonal form of rank $n \geq 5$ represents every sufficiently large integer which…

math.NT2021

Representations of almost regular m-gonal forms I

Dayoon Park

It is known that any $m$ -gonal form of $\rank n \ge 5$ is almost regular. In this article, we study the sufficiently large integers which are represented by (almost regular) $m$ -go…

math.NT2021

Completing an universal $m$ -gonal form with a closing unary piece

Dayoon Park

In this paper, we show that for any $m$ -gonal form $F_{m} (x)$ with $m \geq 12$ which represents every positive integer up to $m - 4$ , by putting together only unary $m$ -gonal fo…

math.NT2021

Determining universality of $m$ -gonal form with first five coefficients

Dayoon Park

In this paper, we classify the $(a_{1}, a_{2}, a_{3}, a_{4}, a_{5})$ for which the universality of an $m$ -gonal form $F_{m} (x)$ having its first five coefficients as $(a_1,a_2,a_3,a_4,a_5)…

Representation of m-gonal forms over N0​ and a finiteness theorem for universal original version's m-gonal forms

Non-almost regular quaternary m-gonal forms

Representations of almost regular m-gonal forms II

Representations of almost regular m-gonal forms I

Completing an universal m-gonal form with a closing unary piece

Determining universality of m-gonal form with first five coefficients

Representation of $m$ -gonal forms over $N_{0}$ and a finiteness theorem for universal original version's $m$ -gonal forms

Non-almost regular quaternary $m$ -gonal forms

Completing an universal $m$ -gonal form with a closing unary piece

Determining universality of $m$ -gonal form with first five coefficients