Yuta Suzuki

activity

20152023

most citedJordan totient quotients

18 citations · 41 across the 14 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018★ 2 cited

On error term estimates à la Walfisz for mean values of arithmetic functions

Yuta Suzuki

Walfisz (1963) proved the asymptotic formula \[ \sum_{n\le x}φ(n) = \frac{3}{π^2}x^2+O(x(\log x)^{\frac{2}{3}}(\log\log x)^{\frac{4}{3}}), \] which improved the error term estimate…

math.NT2018★ 18 cited

Jordan totient quotients

Pieter Moree, Sumaia Saad Eddin, Alisa Sedunova +1

The Jordan totient $J_{k} (n)$ can be defined by $J_{k} (n) = n^{k} \prod_{p ∣ n} (1 - p^{- k})$ . In this paper, we study the average behavior of fractions $P / Q$ of two products $P$ and $Q$ of…

math.NT2018

On the sum of a prime power and a power in short intervals

Yuta Suzuki

Let $R_{k, ℓ} (N)$ be the representation function for the sum of the $k$ -th power of a prime and the $ℓ$ -th power of a positive integer. Languasco and Zaccagnini (2017) proved…