Browsing by Subject "Partitions (Mathematics)"
Now showing items 17 of 7

Computing denumerants in numerical 3semigroups
(2018)
Article
Open AccessAs far as we know, usual computer algebra packages can not compute denumerants for almost medium (about a hundred digits) or almost mediumlarge (about a thousand digits) input data in a reasonably time cost on an ordinary ... 
Every integer can be written as a square plus a squarefree
(202209)
Article
Restricted access  publisher's policyIn the paper we can prove that every integer can be written as the sum of two integers, one perfect square and one squarefree. We also establish the asymptotic formula for the number of representations of an integer in ... 
On doubling and volume: chains
(\Institute of Mathematics, Polish Academy of Sciences\, 20181001)
Article
Open AccessThe wellknown Freiman–Ruzsa theorem provides a structural description of a set A of integers with 2A=cA as a subset of a d–dimensional arithmetic progression P with P=c'A, where d and c' depend only on c. The ... 
Partición de un conjunto de enteros con sumas prescritas
(2008)
Conference report
Restricted access  publisher's policySea X un conjunto de n enteros y M = {m1 ≥ · · · ≥ mk} una secuencia de enteros positivos. El problema consiste en encontrar una partici´on de X en k subconjuntos mutuamente disjuntos X1, . . . ,Xk tal que la suma de los ... 
Revisiting Kneser’s theorem for field extensions
(20170531)
Article
Open AccessA Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions, and it was a conjecture of Hou that it should be valid for all ... 
Structure of sets with small sumset and applications
(Universitat Politècnica de Catalunya, 200810)
Master thesis
Open AccessIt was the main objective of this master thesis to determine the position of the holes for sets with small doubling. The answer to this question was given recently by Freiman and in here we generalize it to the case with ... 
Towards 3n  4 in groups of prime order
(20230616)
Article
Open AccessWe show that if A is a subset of a group of prime order p such that 2.Al < 2.7652Al and 10 < A < 1.25  10®p, then A is contained in an arithmetic progression with at most 2A  [Al + 1 terms, and 2.4 contains an ...