Doyon Kim

collaborators

5 papers

math.NT2022

Infinitely many zeros of additively twisted $L$ -functions on the critical line

Doyon Kim

For $f$ a cuspidal modular form for the group $Γ_{0} (N)$ of integral or half-integral weight, $N$ a multiple of $4$ in case the weight is half-integral, we study the zeros of the $L$ …

math.NT2016

On the Largest Integer that is not a Sum of Distinct Positive $n$ th Powers

Doyon Kim

It is known that for an arbitrary positive integer $n$ the sequence $S(x^n)=(1^n, 2^n, \ldots)$ is complete, meaning that every sufficiently large integer is a sum of distinct…

math.HO2016

Friends of 12

Doyon Kim

A friend of 12 is a positive integer different from 12 with the same abundancy index. By enlarging the supply of methods of Ward [1], it is shown that (i) if n is an odd friend of…

math.CO2016

Coloring the Real Line with Monochromatic Intervals

Doyon Kim

Let D be a finite set of positive real numbers. The distance graph G(R,D) is the graph with vertex set R (set of real numbers), and two vertices x, y are adjacent if |x-y| belongs…

math.NT2016

2-Variable Frobenius Problem in Z[\sqrt M]

Doyon Kim

Suppose that m is a positive integer, not a perfect square. We present a formula solution to the 2-variable Frobenius problem in Z[\sqrt m] of the "first kind" ([3]).

Infinitely many zeros of additively twisted L-functions on the critical line

On the Largest Integer that is not a Sum of Distinct Positive nth Powers

Friends of 12

Coloring the Real Line with Monochromatic Intervals

2-Variable Frobenius Problem in Z[\sqrt M]

Infinitely many zeros of additively twisted $L$ -functions on the critical line

On the Largest Integer that is not a Sum of Distinct Positive $n$ th Powers