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## REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$

In this paper,for any arbitrary  two prime numbers $p$ and $q$ the relationship between the corresponding  arithmetic functions  $(a_p(n))$ and  $(a_q(n))$ are investigated.~Furthermore,  the  general formula for  statistical density of all sets on which the two arithmetic functions have the same value  also established.
statistical density, Arithmetical functions
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Primary Language en Research Article Orcid: 0000-0002-0279-3564Author: Abdu Awel ADEM (Primary Author)Institution: Mekelle UniversityCountry: Ethiopia Application Date : October 23, 2019 Acceptance Date : February 13, 2021 Publication Date : July 31, 2020
 Bibtex @research article { jum637104, journal = {Journal of Universal Mathematics}, issn = {2618-5660}, eissn = {2618-5660}, address = {editorinchief@junimath.com}, publisher = {Gökhan ÇUVALCIOĞLU}, year = {2020}, volume = {3}, pages = {131 - 136}, doi = {10.33773/jum.637104}, title = {REMARKS ON THE ARITHMETICAL FUNCTION \$a\_\{p\}(n)\$}, key = {cite}, author = {Adem, Abdu Awel} } APA Adem, A . (2020). REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$ . Journal of Universal Mathematics , 3 (2) , 131-136 . DOI: 10.33773/jum.637104 MLA Adem, A . "REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$" . Journal of Universal Mathematics 3 (2020 ): 131-136 Chicago Adem, A . "REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$". Journal of Universal Mathematics 3 (2020 ): 131-136 RIS TY - JOUR T1 - REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$ AU - Abdu Awel Adem Y1 - 2020 PY - 2020 N1 - doi: 10.33773/jum.637104 DO - 10.33773/jum.637104 T2 - Journal of Universal Mathematics JF - Journal JO - JOR SP - 131 EP - 136 VL - 3 IS - 2 SN - 2618-5660-2618-5660 M3 - doi: 10.33773/jum.637104 UR - https://doi.org/10.33773/jum.637104 Y2 - 2021 ER - EndNote %0 Journal of Universal Mathematics REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$ %A Abdu Awel Adem %T REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$ %D 2020 %J Journal of Universal Mathematics %P 2618-5660-2618-5660 %V 3 %N 2 %R doi: 10.33773/jum.637104 %U 10.33773/jum.637104 ISNAD Adem, Abdu Awel . "REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$". Journal of Universal Mathematics 3 / 2 (July 2020): 131-136 . https://doi.org/10.33773/jum.637104 AMA Adem A . REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$. JUM. 2020; 3(2): 131-136. Vancouver Adem A . REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$. Journal of Universal Mathematics. 2020; 3(2): 131-136. IEEE A. Adem , "REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$", Journal of Universal Mathematics, vol. 3, no. 2, pp. 131-136, Jul. 2020, doi:10.33773/jum.637104

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