3 papers
math.NT2025
On Averages of Shifted Convolutions with Applications to and Fourier Coefficients
Jiseong Kim
In this paper, we study the average shifted sum for general arithmetic functions. As an application, we prove non-trivial upper bounds for a sharp cut-off version of shifted convol…
math.NT2024
Goldbach's Problem in short intervals for numbers with a missing digit
Jiseong Kim
In this paper, by assuming a zero-free region for Dirichlet L-functions, we show that almost all even integers in a short interval with a missing di…
math.NT2024
The divisor function over integers with a missing digit
Jiseong Kim
In this paper, we study the sum of the divisor function over sets with digit restrictions.