A Generalization of t-Practical Numbers

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Saad abood Baddai
https://orcid.org/0000-0001-7943-6955

Abstract

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

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1.
A Generalization of t-Practical Numbers. Baghdad Sci.J [Internet]. 2020 Dec. 1 [cited 2024 Apr. 20];17(4):1250. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4195
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How to Cite

1.
A Generalization of t-Practical Numbers. Baghdad Sci.J [Internet]. 2020 Dec. 1 [cited 2024 Apr. 20];17(4):1250. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4195

References

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Saias E.Entiersa^' diviseurs denses 1. JNT, 62 1997; 163-191.

Weingartner A.Practical Numbers and Distribution of Divisors.Q. J. Math, 66 2015; 743-758.

Robinson D. F.Egyptian Fraction Via Greek Number Theory", The New Zeal. Math. Magazine. 16 〖N_2〗^0 1979; 47-52.

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