A new arithmetical function and its mean value properties
type: Item
instance of: scholarly article
title: A new arithmetical function and its mean value properties
zbMATH Open document ID: 1487.11088
author: Teerapat Srichan
author: Wenpeng Zhang
author: Xing Xing Lv
published in: Boletín de la Sociedad Matemática Mexicana. Third Series
publication date: 2021-12-17T00:00:00Z
review text: For odd primes \(p\le q\) let \(d(n;p,q)\) be the number of factorizations \(n=ab\), where \(a\) is a primitive root mod \(p\) and \(b\) is a primitive root mod \(q\). The authors establish for \(x\ge q^2\) the equality \[ \sum_{n\le x}d(n;p,q)= \frac{\varphi(p-1)\varphi(q-1)}{pq}x\log x + c(p,q)x + O_{p,q}\left(x^{1/3}\right). \]
reviewed by: Władysław Narkiewicz
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11L40
zbMATH DE Number: 7447187
zbMATH Keywords: primitive roots
zbMATH Keywords: mean value
zbMATH Keywords: arithmetic functions
MaRDI profile type: Publication
full work available at URL: s40590-021-00390-8
OpenAlex ID: W3207256606
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DOI: 10.1007/S40590-021-00390-8
description: scientific article; zbMATH DE number 7447187