3 papers
math.NT2026
Short Exponential Sums and Ternary Correlations of Multiplicative Functions
Jiseong Kim
In this paper, we investigate the average behavior of ternary correlations for general -divisor-bounded multiplicative functions, assuming certain second moment integral bounds…
math.NT2025
On binary correlations of Fourier coefficients of holomorphic cusp forms at prime arguments
Jiseong Kim, Kunjakanan Nath
Let be the normalized Hecke eigenvalues of a given holomorphic cusp form of even weight . We show under the assumption of the existence of Littlewoo…
math.NT2025
On asymptotics of shifted sums of Dirichlet convolutions
Jiseong Kim
The objective of this paper is to obtain asymptotic results for shifted sums of multiplicative functions of the form , where the function satisfies the Ramanujan conj…