Srednje vrednosti multiplikativnih aritmetičkih funkcija više promenljivih zavisnih od NZD i NZS argumenata
| dc.contributor.advisor | Đanković, Goran | |
| dc.contributor.author | Algali, Khola | |
| dc.date.accessioned | 2019-12-25T17:13:12Z | |
| dc.date.available | 2019-12-25T17:13:12Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/4820 | |
| dc.description.abstract | In this thesis we give some new asymptotic formulas for mean values of multiplicative functions of several variables depending on GCD and LCM of arguments. We obtain an asymptotic formula with a power saving error term for the summation function of a family of generalized least common multiple and greatest common divisor functions of several integer variables. Xn 1,...,nk+`≤x [n1,...,nk]a (n1,...,nk)c , [nk+1,...,nk+`]b (nk+1,...,nk+`)d = Ck,a,c;`,b,d (a + 1)k(b + 1)` xk(a+1)+`(b+1) + O xk(a+1)+`(b+1)−1 2+ and Xn 1,...,nk+`≤x [n1,...,nk]a (n1,...,nk)c , [nk+1,...,nk+`]b (nk+1,...,nk+`)d (n1 ...nk)a(nk+1 ...nk+`)b = Ck,a,c;`,b,d xk+` + O xk+`−1 2+ . Also we obtain an asymptotic formula with a power saving error term for the summation function of Euler phi-function evaluated at iterated and generalized least common multiples of four integer variables. Xn 1,n2,n3,n4≤x ϕ [n1,n2]a (n1,n2)c , [n3,n4]b (n3,n4)d = Ca,c;b,d (a + 1)2(b + 1)2 x2a+2b+4 + O x2a+2b+7 2+ . | en_US |
| dc.description.provenance | Submitted by Slavisha Milisavljevic (slavisha) on 2019-12-25T17:13:12Z No. of bitstreams: 1 khola_phd_new_ver.pdf: 665466 bytes, checksum: c08fa4ca17407a3775931777d769f734 (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2019-12-25T17:13:12Z (GMT). No. of bitstreams: 1 khola_phd_new_ver.pdf: 665466 bytes, checksum: c08fa4ca17407a3775931777d769f734 (MD5) Previous issue date: 2019 | en |
| dc.language.iso | en | en_US |
| dc.publisher | Beograd | en_US |
| dc.title | Srednje vrednosti multiplikativnih aritmetičkih funkcija više promenljivih zavisnih od NZD i NZS argumenata | en_US |
| mf.contributor.committee | Petrović, Zoran | |
| mf.contributor.committee | Radovanović, Marko | |
| mf.contributor.committee | Pucanović, Zoran | |
| mf.university.faculty | Mathematical faculty | en_US |
| mf.document.references | 32 | en_US |
| mf.document.pages | 67 | en_US |
| mf.document.location | Beograd | en_US |
| mf.document.genealogy-project | No | en_US |
| mf.university | Belgrade University | en_US |
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