Fumi Ogihara

collaborators

2 papers

math.NT2025

Asymptotic formula for the sum of a prime and a square-full number in short intervals shorter than $X^{1/2}$

Fumi Ogihara

Let $R (N)$ be the number of representations of $N$ as a sum of a prime and a square-full number weighted with logarithmic function. In $2024$ , the author and Y. Suzuki obtained an…

math.NT2024

Asymptotic formula for the sum of a prime and a square-full number in short intervals

Fumi Ogihara, Yuta Suzuki

Let $R_{m, sq - full} (N)$ be a representation function for the sum of a prime and a square-full number. In this article, we prove an asymptotic formula for the sum of $R_{m,…

Asymptotic formula for the sum of a prime and a square-full number in short intervals shorter than X1/2

Asymptotic formula for the sum of a prime and a square-full number in short intervals

Asymptotic formula for the sum of a prime and a square-full number in short intervals shorter than $X^{1/2}$