Zobrazeno 1 - 10
of 172
pro vyhledávání: '"Table of divisors"'
Autor:
Mariusz Skałba
Publikováno v:
Bulletin of the Australian Mathematical Society. 97:11-14
Let $a_{1},a_{2},\ldots ,a_{m}$ and $b_{1},b_{2},\ldots ,b_{l}$ be two sequences of pairwise distinct positive integers greater than $1$. Assume also that none of the above numbers is a perfect power. If for each positive integer $n$ and prime number
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18a30994acda023ec8188c61dfbe9388
https://doi.org/10.1017/s0004972717000843
https://doi.org/10.1017/s0004972717000843
Autor:
Rafael Jakimczuk
Publikováno v:
International Mathematical Forum. 12:331-338
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::214583029ce06dae790eabaa905077c5
https://doi.org/10.12988/imf.2017.7113
https://doi.org/10.12988/imf.2017.7113
Publikováno v:
Bulletin of the Korean Mathematical Society. 53:1629-1643
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0ba3ef757d856e4035a7f7310cdbb41
https://doi.org/10.4134/bkms.b150684
https://doi.org/10.4134/bkms.b150684
Autor:
Dmitry Badziahin
Publikováno v:
International journal of number theory, 2017, Vol.13(01), pp.209-228 [Peer Reviewed Journal]
We investigate the divisors [Formula: see text] of the numbers [Formula: see text] for various polynomials [Formula: see text] such that [Formula: see text]. We obtain the complete classification of such divisors for a class of polynomials, in partic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0c6ff8938fa50af10a6fd256616cb89
https://doi.org/10.1142/s1793042117500129
https://doi.org/10.1142/s1793042117500129
Publikováno v:
European Journal of Mathematics. 2:917-928
Following the work of Totaro and Pereira, we study sufficient conditions under which collections of pairwise-disjoint divisors on a variety over an algebraically closed field are contained in the fibers of a morphism to a curve. We prove that $\rho_w
Externí odkaz:
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https://doi.org/10.1007/s40879-016-0109-1
https://doi.org/10.1007/s40879-016-0109-1
Autor:
Mircea Merca
Publikováno v:
Journal of Number Theory. 162:23-34
The natural expression of the generating function N k ( q ) for the number of partitions of the positive integer n that have exactly k distinct values for the parts was remarked by MacMahon. A factorization of this generating function was derived lat
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https://doi.org/10.1016/j.jnt.2015.10.021
https://doi.org/10.1016/j.jnt.2015.10.021
Autor:
Mircea Merca
Publikováno v:
Journal of Number Theory. 160:60-75
In this paper, we give a refined form of a recent factorization of Lambert series. This result allows us to prove new connections between partitions and divisors of positive integers, such as a new formula for the number of divisors of a positive int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d2d8472dcd78246f8f5ebb915bd25dc
https://doi.org/10.1016/j.jnt.2015.08.014
https://doi.org/10.1016/j.jnt.2015.08.014
Autor:
Mehdi Hassani
Publikováno v:
Tamkang Journal of Mathematics. 48:13-15
We study the asymptotic formula for the sum $\sum_{n\leqslant x}\o(n)$ where $\o(n)$ denotes the number of distinct prime divisors of $n$, and we perform some computations which detect curve patterns in the distribution of a related sequence.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17fa3b353cbac440cdebf216de93926c
https://doi.org/10.5556/j.tkjm.48.2017.1842
https://doi.org/10.5556/j.tkjm.48.2017.1842
Publikováno v:
Acta Arithmetica. :1-13
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fa34a03afc165e6ce5d910a3c94eb0e
https://doi.org/10.4064/aa8242-1-2016
https://doi.org/10.4064/aa8242-1-2016
Autor:
M. E. Changa
Publikováno v:
Mathematical Notes. 97:941-945
Natural numbers all of whose prime divisors (even or odd in number) belong to special sets are considered. It is proved that numbers with an odd number of different prime divisors predominate; more precisely, the difference between these numbers not
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b07d46943913edb596af56ecee2ff946
https://doi.org/10.1134/s0001434615050296
https://doi.org/10.1134/s0001434615050296