A Generalization of t-Practical Numbers

A Generalization of t-Practical Numbers

This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers  which is defined by   has a lower bound in terms of . This bound is more sharper than Mangenstern bound when  Further general results are given for the existence of -practical numbers,...

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Bibliographic Details
Main Author: Saad abood Baddai
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2020-12-01
Series:Baghdad Science Journal
Subjects:
Bound for the t-practical numbers, Existence of t-practical numbers in an interval, Practical numbers, t-practical numbers.
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4195
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spelling doaj-00dbd88a92fc4568a40f811210cba77d2021-02-06T15:38:09ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862020-12-0117410.21123/bsj.2020.17.4.1250A Generalization of t-Practical NumbersSaad abood Baddai0University of Baghdad This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers  which is defined by   has a lower bound in terms of . This bound is more sharper than Mangenstern bound when  Further general results are given for the existence of -practical numbers, by proving that the interval contains a -practical for all https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4195Bound for the t-practical numbers, Existence of t-practical numbers in an interval, Practical numbers, t-practical numbers.
collection DOAJ
language Arabic
format Article
sources DOAJ
author Saad abood Baddai
spellingShingle Saad abood Baddai
A Generalization of t-Practical Numbers
Baghdad Science Journal
Bound for the t-practical numbers, Existence of t-practical numbers in an interval, Practical numbers, t-practical numbers.
author_facet Saad abood Baddai
author_sort Saad abood Baddai
title A Generalization of t-Practical Numbers
title_short A Generalization of t-Practical Numbers
title_full A Generalization of t-Practical Numbers
title_fullStr A Generalization of t-Practical Numbers
title_full_unstemmed A Generalization of t-Practical Numbers
title_sort generalization of t-practical numbers
publisher College of Science for Women, University of Baghdad
series Baghdad Science Journal
issn 2078-8665
2411-7986
publishDate 2020-12-01
description This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers  which is defined by   has a lower bound in terms of . This bound is more sharper than Mangenstern bound when  Further general results are given for the existence of -practical numbers, by proving that the interval contains a -practical for all
topic Bound for the t-practical numbers, Existence of t-practical numbers in an interval, Practical numbers, t-practical numbers.
url https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4195
work_keys_str_mv AT saadaboodbaddai ageneralizationoftpracticalnumbers
AT saadaboodbaddai generalizationoftpracticalnumbers
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