Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Refactorable number"'
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
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
Publikováno v:
Lithuanian Mathematical Journal. 55:474-488
In this paper, we generalize the result obtained by G. Bareikis and E. Manstavicius [On the DDT theorem, Acta Arith., 126(2):155–168, 2007] for a sequence of integers from a probabilistic point of view. As an application, we give the distribution l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b437578c8148c4adc82d9d63827567a5
https://doi.org/10.1007/s10986-015-9293-9
https://doi.org/10.1007/s10986-015-9293-9
Autor:
Mircea Merca
Publikováno v:
Journal of Number Theory. 149:57-69
The q -binomial coefficients are specializations of the elementary symmetric functions. In this paper, we use this fact to give a new expression for the generating function of the number of divisors. As corollaries, we obtained new connections betwee
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9ab870007401128bbe35ed4b70f20d5
https://doi.org/10.1016/j.jnt.2014.10.009
https://doi.org/10.1016/j.jnt.2014.10.009
Autor:
Claudia Polini, Robin Hartshorne
Publikováno v:
Transactions of the American Mathematical Society. 367:6357-6385
We compute divisors class groups of singular surfaces. Most notably we produce an exact sequence that relates the Cartier divisors and almost Cartier divisors of a surface to the those of its normalization. This generalizes Hartshorne's theor em for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a53034e586858da886df2b7839a42209
https://doi.org/10.1090/s0002-9947-2015-06228-x
https://doi.org/10.1090/s0002-9947-2015-06228-x
Autor:
Mariusz Skałba, Michael Drmota
Publikováno v:
International Journal of Number Theory. :2011-2018
We study the number of divisors in residue classes modulo m and prove, for example, that the exact equidistribution holds for almost all natural numbers coprime to m in the sense of natural density if and only if m = 2kp1p2…ps, where k and s are no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11383ffe52202fe40d1314cc491afa25
https://doi.org/10.1142/s1793042113500711
https://doi.org/10.1142/s1793042113500711
Autor:
Bülent Köklüce
Publikováno v:
International Journal of Number Theory. :1641-1648
Let N(a1, …, a4; n) denote the number of representations of an integer n by the form [Formula: see text]. In this paper we derive formulae for N(1, 1, 1, 2; n) and N(1, 2, 2, 2; n). These formulae are given in terms of σ3(n).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd456037f095c8189e3ac3f8309936cf
https://doi.org/10.1142/s1793042113500486
https://doi.org/10.1142/s1793042113500486
Autor:
Yong Hu
Publikováno v:
International Journal of Number Theory. :903-915
We investigate a new problem related to the multiplicative structure of integers. We introduce a new function H1, 1(x, y, z1, z2), the number of positive integers n ≤ x having exactly one divisor in interval (y, z1] and one in (z1, z2]. Our aim is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc88b0c8f00bf949deb36b0067c03757
https://doi.org/10.1142/s179304211350005x
https://doi.org/10.1142/s179304211350005x
Publikováno v:
Electronic Notes in Discrete Mathematics. 40:107-111
In this note, we will give intersection numbers for two simple 2-fold ( 3 n , n , 3 ) group divisible designs (GDD). More precisely, we note that there exists two simple 2-fold ( 3 n , n , 3 ) GDDs which intersect in precisely k ∈ { 0 , 1 , 2 , …
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42e75dca3d483fc069b1ee5a5690b984
https://doi.org/10.1016/j.endm.2013.05.020
https://doi.org/10.1016/j.endm.2013.05.020
Publikováno v:
Journal of Pure and Applied Algebra. 217:779-785
Given a quaternion integer α whose norm is divisible by a natural number m , does there exist a quaternion integer β of norm m dividing α on both the left and right? This problem is a case of the “metacommutation problem”, which asks generally
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78c44b886ede08f6e1fd3dfb3d39c885
https://doi.org/10.1016/j.jpaa.2012.08.003
https://doi.org/10.1016/j.jpaa.2012.08.003