Results in Mathematics数学成果
Results in Mathematics(英文缩写 RESULTS MATH),ISSN 1422-6383,eISSN 1420-9012,中文译名:数学成果 是一本学术期刊。本页汇总该期刊的最新影响因子、分区信息以及最新收录于 PubMed 的文献,帮助您快速了解期刊全貌。
发文量统计区间：2025-10-01 至 2026-09-30，按本站收录文献的发表日期统计。
期刊介绍
历年影响因子趋势
| JCR 数据年份 | 影响因子 | JCR 分区 |
|---|---|---|
| 2021 | 2.214 | Q1 |
| 2022 | 2.200 | Q1 |
| 2023 | 1.100 | Q1 |
| 2024 | 1.200 | Q1 |
| 2025 | 1.100 | Q2 |
Results in Mathematics 最新收录文献
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1. The Stieltjes Moment Problem in Gelfand-Shilov Spaces Defined by Weight Sequences in the Absence of Derivation Closedness.
PMID:日期:2026-06-26The Stieltjes moment problem is studied in a new framework within the general Gelfand-Shilov spaces defined via weight sequences. The novelty consists of allowing for a naturally larger target space for the moment mapping, which sends a function to its sequence of Stieltjes moments. The motivation comes from a recent version of the Borel-Ritt theorem, concerning the surjectivity of the Borel mapping in Carleman-Roumieu ultraholomorphic classes in sectors, whose defining weight sequence is subject to the condition, weaker than derivation closedness, of having shifted moments. The injectivity and surjectivity of the moment mapping in this new setting is studied and, in some cases, characterized. Finally, results are provided for general weight sequences of fast and regular enough growth when the condition of shifted moments fails to hold.
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2. The Variance-Gamma Product Distribution.
PMID:日期:2025-09-23We derive the exact probability density function of the product of independent variance-gamma random variables with zero location parameter. We then apply this formula to derive formulas for the cumulative distribution function and characteristic function, as well as asymptotic approximations for the density, tail probabilities and quantile function. From our general results, we deduce closed-form formulas for the density, cumulative distribution function and characteristic function of the product of independent asymmetric Laplace random variables and mixed products of independent Laplace and centred normal random variables.
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3. Continuous Operators from Spaces of Lipschitz Functions.
PMID:日期:2024-12-02We study the existence of continuous (linear) operators from the Banach spaces of Lipschitz functions on infinite metric spaces vanishing at a distinguished point and from their predual spaces onto certain Banach spaces, including ()-spaces and the spaces and . For pairs of spaces and () we prove that if they are endowed with topologies weaker than the norm topology, then usually no continuous (linear or not) surjection exists between those spaces. It is also showed that if a metric space contains a bilipschitz copy of the unit sphere of the space , then admits a continuous operator onto and hence onto . Using this, we provide several conditions for a space implying that is not a Grothendieck space. Finally, we obtain a new characterization of the Schur property for Lipschitz-free spaces: a space has the Schur property if and only if for every complete discrete metric space with cardinality () the spaces and are weakly sequentially homeomorphic.
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4. Eigenvalue Estimates on Weighted Manifolds.
PMID:日期:2024-06-16We derive various eigenvalue estimates for the Hodge Laplacian acting on differential forms on weighted Riemannian manifolds. Our estimates unify and extend various results from the literature and provide a number of geometric applications. In particular, we derive an inequality which relates the eigenvalues of the Jacobi operator for -minimal hypersurfaces and the spectrum of the Hodge Laplacian.
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5. Higher Polynomial Identities for Mutations of Associative Algebras.
PMID:日期:2023-09-22We study polynomial identities satisfied by the mutation product on the underlying vector space of an associative algebra , where , are fixed elements of . We simplify known results for identities in degree 4, proving that only two identities are necessary and sufficient to generate them all; in degree 5, we show that adding one new identity suffices; in degree 6, we demonstrate the existence of a significant number of new identities, which induce us to conjecture that the variety generated by mutation algebras of associative algebras is not finitely based.
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6. Classification of Rank-One Submanifolds.
PMID:日期:2023-08-19We study ruled submanifolds of Euclidean space. First, to each (parametrized) ruled submanifold , we associate an integer-valued function, called , measuring the extent to which fails to be cylindrical. In particular, we show that if the degree is constant and equal to , then the singularities of can only occur along an -dimensional "striction" submanifold. This result allows us to extend the standard classification of developable surfaces in to the whole family of flat and ruled submanifolds without planar points, also known as : an open and dense subset of every rank-one submanifold is the union of , , and regions.
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7. Smooth and Discrete Cone-Nets.
PMID:日期:2023-03-28Cone-nets are conjugate nets on a surface such that along each individual curve of one family of parameter curves there is a cone in tangential contact with the surface. The corresponding conjugate curve network is projectively invariant and is characterized by the existence of particular transformations. We study properties of that transformation theory and illustrate how several known surface classes appear within our framework. We present cone-nets in the classical smooth setting of differential geometry as well as in the context of a consistent discretization with counterparts to all relevant statements and notions of the smooth setting. We direct special emphasis towards smooth and discrete tractrix surfaces which are characterized as principal cone-nets with constant geodesic curvature along one family of parameter curves.
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8. {"_":"New -Analogues of Van Hamme's (E.2) Supercongruence and of a Supercongruence by Swisher.","i":["q"]}
PMID:日期:2023-03-21In this paper, a couple of -supercongruences for truncated basic hypergeometric series are proved, most of them modulo the cube of a cyclotomic polynomial. One of these results is a new -analogue of the (E.2) supercongruence by Van Hamme, another one is a new -analogue of a supercongruence by Swisher, while the other results are closely related -supercongruences. The proofs make use of special cases of a very-well-poised summation. In addition, the proofs utilize the method of creative microscoping (which is a method recently introduced by the first author in collaboration with Wadim Zudilin), and the Chinese remainder theorem for coprime polynomials.
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9. Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors.
PMID:日期:2023-03-14We construct optimal flat functions in Carleman-Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitably restricted opening. A general procedure is presented in order to obtain linear continuous extension operators, right inverses of the Borel map, for the case of regular weight sequences in the sense of Dyn'kin. Finally, we discuss some examples (including the well-known -Gevrey case) where such optimal flat functions can be obtained in a more explicit way.
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10. Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation.
PMID:日期:2021-12-04We characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the corresponding matrix of associated weight functions by using new growth indices. These indices, defined by means of weight sequences and (associated) weight functions, are extending the notion of O-regular variation to a mixed setting. Hence we are extending the known comparison results concerning classes defined in terms of a single weight sequence and of a single weight function and give also these statements an interpretation expressed in O-regular variation.