On the Inferior and Superior k-th Power Part 0f a Positive Integer and Divisor Function

For any positive integer n, let a(n) and b(n) denote the inferior and superior k-th power part of n respectively. That is, a(n) denotes the largest k-th power less than or equal to n, and b(n) denotes the smallest k-th power greater than or equal to n. In this paper, we study the properties of the s...

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Detalles Bibliográficos
Autor principal: Jianfeng, Zheng
Lenguaje:eng
Publicado: 2004
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/798009
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author Jianfeng, Zheng
author_facet Jianfeng, Zheng
author_sort Jianfeng, Zheng
collection CERN
description For any positive integer n, let a(n) and b(n) denote the inferior and superior k-th power part of n respectively. That is, a(n) denotes the largest k-th power less than or equal to n, and b(n) denotes the smallest k-th power greater than or equal to n. In this paper, we study the properties of the sequences{a(n)} and {b(n)}, and give two interesting asymptotic formulas.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
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spelling cern-7980092019-09-30T06:29:59Zhttp://cds.cern.ch/record/798009engJianfeng, ZhengOn the Inferior and Superior k-th Power Part 0f a Positive Integer and Divisor FunctionMathematical Physics and MathematicsFor any positive integer n, let a(n) and b(n) denote the inferior and superior k-th power part of n respectively. That is, a(n) denotes the largest k-th power less than or equal to n, and b(n) denotes the smallest k-th power greater than or equal to n. In this paper, we study the properties of the sequences{a(n)} and {b(n)}, and give two interesting asymptotic formulas.EXT-2004-139oai:cds.cern.ch:7980092004-03-10
spellingShingle Mathematical Physics and Mathematics
Jianfeng, Zheng
On the Inferior and Superior k-th Power Part 0f a Positive Integer and Divisor Function
title On the Inferior and Superior k-th Power Part 0f a Positive Integer and Divisor Function
title_full On the Inferior and Superior k-th Power Part 0f a Positive Integer and Divisor Function
title_fullStr On the Inferior and Superior k-th Power Part 0f a Positive Integer and Divisor Function
title_full_unstemmed On the Inferior and Superior k-th Power Part 0f a Positive Integer and Divisor Function
title_short On the Inferior and Superior k-th Power Part 0f a Positive Integer and Divisor Function
title_sort on the inferior and superior k-th power part 0f a positive integer and divisor function
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/798009
work_keys_str_mv AT jianfengzheng ontheinferiorandsuperiorkthpowerpart0fapositiveintegeranddivisorfunction

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