3 papers
math.NT2025
Short Interval Variance and Averaged Correlations of Arithmetic Functions
Jiseong Kim
In this paper, we study the average shifted sum for general arithmetic functions by applying the standard Hardy--Littlewood circle method and using short-interval variance results.…
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.