共查询到20条相似文献,搜索用时 0 毫秒
1.
《Journal of Number Theory》2003,103(2):281-294
We study the sets of nonnegative solutions of Diophantine inequalities of the form with a,b and c positive integers. These sets are numerical semigroups, which we study and characterize. 相似文献
2.
M. Delgado P. A. García-Sánchez J. C. Rosales J. M. Urbano-Blanco 《Semigroup Forum》2008,76(3):469-488
The set of integer solutions to the inequality ax mod b≤c
x is a numerical semigroup. We study numerical semigroups that are intersections of these numerical semigroups. Recently it
has been shown that this class of numerical semigroups coincides with the class of numerical semigroups having a Toms decomposition.
The first author was (partially) supported by the Centro de Matemática da Universidade do Porto (CMUP), financed by FCT (Portugal)
through the programmes POCTI and POSI, with national and European Community structural funds.
The last three authors are supported by the project MTM2004-01446 and FEDER funds.
The authors would like to thank the referee for her/his comments and suggestions. 相似文献
3.
J. C. Rosales P. A. Garcí a-Sá nchez 《Proceedings of the American Mathematical Society》2008,136(2):475-477
Let be a numerical semigroup. Then there exists a symmetric numerical semigroup such that .
4.
J. C. Rosales 《代数通讯》2013,41(4):1690-1697
5.
For a numerical semigroup, we introduce the concept of a fundamental gap with respect tothe multiplicity of the semigroup.The semigroup is fully determined by its multiplicity and these gaps.We study the case when a set of non-negative integers is the set of fundamental gaps with respect to themultiplicity of a numerical semigroup.Numerical semigroups with maximum and mininmm number ofthis kind of gaps are described. 相似文献
6.
For a numerical semigroup, we introduce the concept of a fundamental gap with respect to the multiplicity of the semigroup. The semigroup is fully determined by its multiplicity and these gaps.We study the case when a set of non-negative integers is the set of fundamental gaps with respect to the multiplicity of a numerical semigroup, Numerical semigroups with maximum and minimum number of this kind of gaps are described. 相似文献
7.
Let and be a sufficiently large real number. In this paper, we prove that, for almost all , the Diophantine inequality is solvable in primes . Moreover, we also investigate the problem of six primes and prove that the Diophantine inequality is solvable in primes for sufficiently large real number . 相似文献
8.
J. C. Rosales 《Proceedings of the American Mathematical Society》2001,129(8):2197-2203
We construct symmetric numerical semigroups for every minimal number of generators and multiplicity , . Furthermore we show that the set of their defining congruence is minimally generated by elements.
9.
Vladimir I. Arnold 《Functional Analysis and Other Mathematics》2008,2(1):81-86
We present geometrical arguments suggesting that the part of the segment {0,1,…,N−1} covered by the additive semigroup generated by (a,b,c) between 0 and the Frobenius number N(a,b,c) should exceed λ
V for some constant λ (which might be 1/3 or even more).
相似文献
10.
In this paper we discuss a method used to find the smallest nontrivial positive integer solutions to . The method, which is an improvement over a simple brute force approach, can be applied to search the solution to similar equations involving sixth, eighth and tenth powers.
11.
Jacob Fox 《Journal of Graph Theory》2008,57(2):89-98
The Ramsey multiplicity M(G;n) of a graph G is the minimum number of monochromatic copies of G over all 2‐colorings of the edges of the complete graph Kn. For a graph G with a automorphisms, ν vertices, and E edges, it is natural to define the Ramsey multiplicity constant C(G) to be , which is the limit of the fraction of the total number of copies of G which must be monochromatic in a 2‐coloring of the edges of Kn. In 1980, Burr and Rosta showed that 0 ≥ C(G) ≤ 21?E for all graphs G, and conjectured that this upper bound is tight. Counterexamples of Burr and Rosta's conjecture were first found by Sidorenko and Thomason independently. Later, Clark proved that there are graphs G with E edges and 2E?1C(G) arbitrarily small. We prove that for each positive integer E, there is a graph G with E edges and C(G) ≤ E?E/2 + o(E). © 2007 Wiley Periodicals, Inc. J Graph Theory 57: 89–98, 2008 相似文献
12.
Let g
e
(S) (respectively, g
o
(S)) be the number of even (respectively, odd) gaps of a numerical semigroup S. In this work we study and characterize the numerical semigroups S that verify 2|g
e
(S)−g
o
(S)|+1∈S. As a consequence we will see that every numerical semigroup can be represented by means of a numerical semigroup with maximal
embedding dimension with all its minimal generators odd.
The first author is supported by the project MTM2007-62346 and FEDER funds. The authors want to thank P.A. García-Sánchez
and the referee for their comments and suggestions. 相似文献
13.
Franklin Kerstetter 《代数通讯》2020,48(11):4698-4717
14.
Let a
1,…,a
n
be relatively prime positive integers, and let S be the semigroup consisting of all non-negative integer linear combinations of a
1,…,a
n
. In this paper, we focus our attention on AA-semigroups, that is semigroups being generated by almost arithmetic progressions.
After some general considerations, we give a characterization of the symmetric AA-semigroups. We also present an efficient
method to determine an Apéry set and the Hilbert series of an AA-semigroup.
Dedicated to the memory of Ernst S. Selmer (1920–2006), whose calculations revealed the “Selmer group”. 相似文献
15.
16.
Jing Hai Shao 《数学学报(英文版)》2011,27(6):1195-1204
In this paper, the dimensional-free Harnack inequalities are established on infinite-dimensional spaces. More precisely, we
establish Harnack inequalities for heat semigroup on based loop group and for Ornstein-Uhlenbeck semigroup on the abstract
Wiener space. As an application, we establish the HWI inequality on the abstract Wiener space, which contains three important
quantities in one inequality, the relative entropy “H”, Wasserstein distance “W”, and Fisher information “I”. 相似文献
17.
J. C. Rosales 《代数通讯》2013,41(3):1362-1367
Every almost symmetric numerical semigroup can be constructed by removing some minimal generators from an irreducible numerical semigroup with its same Frobenius number. 相似文献
18.
Masatoshi Fujii 《Linear algebra and its applications》2007,426(1):33-39
We improve Bebiano-Lemos-Providência inequality: For A,B?0
20.
We define the density of a numerical semigroup and study the densities of all the maximal embedding dimension numerical semigroups with a fixed Frobenius number, as well as the possible Frobenius number for a fixed density. We also prove that for a given possible density, in the sense of Wilf’s conjecture, one can find a maximal embedding dimension numerical semigroup with that density. 相似文献