Infinite products over visible lattice points
type: Item
instance of: scholarly article
title: Infinite products over visible lattice points
zbMATH Open document ID: 0811.05006
DOI: 10.1155/S0161171294000918
author: Geoffrey B. Campbell
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1995-05-03T00:00:00Z
full work available at URL: https://eudml.org/doc/47123
review text: The concept of visible-from-the-origin lattice points in the \(xy\) plane has been described in Apostol. These points have the property that their coordinates are relatively prime. Recently a number of new identities based on summation or products taken on these points have been obtained by the author. In this paper some of the more notable results are presented. These are extended to higher dimensions and more general theorems are proved.
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 11P21
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 30B50
zbMATH DE Number: 697102
zbMATH Keywords: visible lattice points
zbMATH Keywords: infinite products
zbMATH Keywords: identities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 697102