Generalized Newman phenomena and digit conjectures on primes
type: Item
instance of: scholarly article
title: Generalized Newman phenomena and digit conjectures on primes
zbMATH Open document ID: 1247.11122
DOI: 10.1155/2008/908045
author: Vladimir Shevelev
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-11-18T00:00:00Z
review text: Summary: We prove that the ratio of the Newman sum over numbers multiple of a fixed integer, which is not a multiple of 3, and the Newman sum over numbers multiple of a fixed integer divisible by 3 is \(o(1)\) when the upper limit of summing tends to infinity. We also discuss a connection of our results with a digit conjecture on primes.
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11A63
zbMATH DE Number: 5367978
Wikidata QID: Q58644868
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2008/908045
OpenAlex ID: W2140058415
cites work: Automatic Sequences
cites work: On the Number of Binary Digits in a Multiple of Three
cites work: A summation formula related to the binary digits
cites work: Rarified sums of the Thue-Morse sequence
description: scientific article; zbMATH DE number 5367978