Publicacions matemàtiques
Publicacions Matemàtiques (ISSN: 0214-1493 imprès, 2014-4350 en línia) és una revista que publica articles de qualitat de recerca de tots els camps de les matemàtiques i, de tant en quant, també actes de congressos. Aquesta revista va començar l'any 1976 amb el títol de Publicacions de la Secció de Matemàtiques (ISSN: 0210-2978 imprès, 2014-4369 en línia). L'any 1988 va introduir un nou format i comitè editorial que van donar lloc a la segona etapa d'aquesta revista.

 

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2022-02-03
05:36
27 p, 433.9 KB Group invariant separating polynomials on a Banach space / Falcó, Javier (Universidad de Valencia. Departamento de Análisis Matemático) ; Garcia, Domingo (Universidad de Valencia. Departamento de Análisis Matemático) ; Maestre, Manuel (Universidad de Valencia. Departamento de Análisis Matemático) ; Jung, Mingu (POSTECH. Department of Mathematics.)
We study the group-invariant continuous polynomials on a Banach space X that separate a given set K in X and a point z outside K. We show that if X is a real Banach space, G is a compact group of L(X), K is a G-invariant set in X, and z is a point outside K that can be separated from K by a continuous polynomial Q, then z can also be separated from K by a G-invariant continuous polynomial P. [...]
2022 - 10.5565/PUBLMAT6612209
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 207-233 (Articles)  
2022-02-03
05:36
33 p, 494.5 KB ℓ-class groups of fields in Kummer towers / Li, Jianing (Shandong University. Research Center for Mathematics and Interdisciplinary Sciences.) ; Ouyang, Yi (University of Science and Technology of China. CAS Wu Wen-Tsun Key Laboratory of Mathematics.) ; Xu, Yue (University of Science and Technology of China. CAS Wu Wen-Tsun Key Laboratory of Mathematics.) ; Zhang, Shenxing (University of Technology, Hefei, China. School of Mathematics)
Let ℓ and b be prime numbers and Kn,m = Q(p1 n , ζ2'm). We study the '-class group of Kn,m in this paper. When ' = 2, we determine the structure of the 2-class group of Kn,m for all (n, m) ∈ Z 2 ≥0 in the case p ≡ 3, 5 mod 8, and for (n, m) = (n, 0), (n, 1), or (1, m) in the case p ≡ 7 mod 16, generalizing the results of Parry about the 2-divisibility of the class number of K2,0. [...]
2022 - 10.5565/PUBLMAT6612210
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 235-267 (Articles)  
2022-02-03
05:36
5 p, 102.3 KB Corrigendum to / Vâjâitu, Viorel (Université des Sciences et Technologies de Lille 1)
The purpose of this note is to supply a correct proof of a proposition in the article quoted above.
2022 - 10.5565/PUBLMAT6612217
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 435-439 (Articles)  
2022-02-03
05:36
14 p, 328.1 KB Differential invariance of the multiplicity of real and complex analytic sets / Sampaio, Jose Edson (Universidade Federal do Ceará. Departamento de Matemática.)
This paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of the Gau-Lipman theorem, i. e. , it is proved that the multiplicity mod 2 of real analytic sets is a differential invariant. [...]
2022 - 10.5565/PUBLMAT6612214
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 355-368 (Articles)  
2022-02-03
05:36
29 p, 454.1 KB On the expected number of perfect matchings in cubic planar graphs / Noy, Marc (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Requilé, Clément (Technische Universität Wien. Institute of Discrete Mathematics and Geometry) ; Rué, Juanjo (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
A well-known conjecture by Lov'asz and Plummer from the 1970s asserted that a bridgeless cubic graph has exponentially many perfect matchings. It was solved in the affirmative by Esperet et al. ([13]). [...]
2022 - 10.5565/PUBLMAT6612213
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 325-353 (Articles)  
2022-02-03
05:36
30 p, 468.9 KB Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series / Pitale, Ameya (University of Oklahoma. Department of Mathematics) ; Saha, Abhishek (Queen Mary University of London. School of Mathematical Sciences) ; Schmidt, Ralf (University of North Texas. Department of Mathematics)
We study nearly holomorphic Siegel Eisenstein series of general levels and characters on H2n, the Siegel upper half space of degree 2n. We prove that the Fourier coefficients of these Eisenstein series (once suitably normalized) lie in the ring of integers of Qp for all sufficiently large primes p. [...]
2022 - 10.5565/PUBLMAT6612216
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 405-434 (Articles)  
2022-02-03
05:36
36 p, 523.1 KB Gelfand-type problems involving the 1-Laplacian operator / Molino, Alexis (Universidad de Almería. Departamento de Matemáticas.) ; Segura de León, Sergio (Universitat de València.Departament d'Anàlisi Matemàtica)
In this paper, the theory of Gelfand problems is adapted to the 1-Laplacian setting. Concretely, we deal with the following problem: −∆1u = λf(u) in Ω,u = 0 on ∂Ω, where Ω ⊂ RN (N ≥ 1) is a domain, λ ≥ 0, and f : [0, +∞[ → ]0, +∞[ is any continuous increasing and unbounded function with f(0) > 0. [...]
2022 - 10.5565/PUBLMAT6612211
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 269-304 (Articles)  
2022-02-03
05:36
19 p, 361.0 KB Hausdorff dimension and projections related to intersections / Mattila, Pertti (University of Helsinki. Department of Mathematics and Statistics)
For Sg(x, y) = x − g(y), x, y ∈ Rn, g ∈ O(n), we investigate the Lebesguemeasure and Hausdorff dimension of Sg(A) given the dimension of A, both for generalBorel subsets of R2n and for product sets.
2022 - 10.5565/PUBLMAT6612212
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 305-323 (Articles)  
2022-02-03
05:36
35 p, 583.2 KB A small closed convex projective 4-manifold via Dehn filling / Lee, Gye-Seon (Sungkyunkwan University. Department of Mathematics) ; Marquis, Ludovic (Univ Renne) ; Riolo, Stefano (Università di Pisa. Dipartimento di Matematica)
In order to obtain a closed orientable convex projective 4-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a cusped hyperbolic 4-manifold through a continuous path of projective cone-manifolds.
2022 - 10.5565/PUBLMAT6612215
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 369-403 (Articles)  
2022-02-01
05:08
9 p, 279.3 KB Evaluation of polynomials over finite rings via additive combinatorics / Károlyi, Gyula (Eötvös University. Alfréd Rényi Institute of Mathematics) ; Szabó, Csaba (Eötvös University. Institute of Mathematics)
We give an improved polynomial bound on the complexity of the equation solvability problem, or more generally, of finding the value sets of polynomials over finite nilpotent rings. Our proof depends on a result in additive combinatorics, which may be of independent interest.
2022 - 10.5565/PUBLMAT6612208
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 197-205 (Articles)