دورية أكاديمية
On the Distribution Properties of the Smarandache Prime Part
العنوان: | On the Distribution Properties of the Smarandache Prime Part |
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المؤلفون: | Yahui Yu, Jiayuan Hu |
المصدر: | Journal of Mathematics, Vol 2021 (2021) |
بيانات النشر: | Wiley, 2021. |
سنة النشر: | 2021 |
المجموعة: | LCC:Mathematics |
مصطلحات موضوعية: | Mathematics, QA1-939 |
الوصف: | For each integer n, denote by ppn the largest prime ≤n and by Ppn the smallest prime ≥n, called as the Smarandache inferior prime part and superior prime part of n, respectively. Define In≔1/n∑m≤nppm and Sn≔1/n∑m≤nPpm. In this short note, we proved some estimates on In−Sn and In/Sn, answering a question proposed by Kashihara and improving a result of Yan. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 2314-4629 2314-4785 |
Relation: | https://doaj.org/toc/2314-4629; https://doaj.org/toc/2314-4785 |
DOI: | 10.1155/2021/9937647 |
URL الوصول: | https://doaj.org/article/ab38a2cb09474c4e9662439c8fdb8e16 |
رقم الأكسشن: | edsdoj.b38a2cb09474c4e9662439c8fdb8e16 |
قاعدة البيانات: | Directory of Open Access Journals |
تدمد: | 23144629 23144785 |
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DOI: | 10.1155/2021/9937647 |