ARCHIV DER MATHEMATIK数学文献
ARCHIV DER MATHEMATIK(英文缩写 ARCH MATH),ISSN 0003-889X,eISSN 1420-8938,中文译名:数学文献 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：2025-09-27 至 2026-09-27，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 | 0.578 | Q4 |
| 2022 | 0.600 | Q3 |
| 2023 | 0.500 | Q3 |
| 2024 | 0.500 | Q3 |
| 2025 | 0.600 | Q3 |
ARCHIV DER MATHEMATIK 最新收录文献
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1. Another character theoretic formula for base size.
PMID:日期:2025-01-01A base for a permutation group acting on a set is a sequence of points of such that the pointwise stabiliser is trivial. The base size of is the size of a smallest base for . Extending the results of a recent paper of the author, we prove a 2013 conjecture of Fritzsche, Külshammer, and Reiche. Moreover, we generalise this conjecture and derive an alternative character theoretic formula for the base size of a certain class of permutation groups. As a consequence of our work, a third formula for the base size of the symmetric group of degree acting on the subsets of is obtained.
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2. A character theoretic formula for the base size.
PMID:日期:2025-01-01A base for a permutation group acting on a set is a sequence of points of such that the pointwise stabiliser is trivial. The base size of is the size of a smallest base for . We derive a character theoretic formula for the base size of a class of groups admitting a certain kind of irreducible character. Moreover, we prove a formula for enumerating the non-equivalent bases for of size As a consequence of our results, we present a very short, entirely algebraic proof of the formula of Mecenero and Spiga for the base size of the symmetric group acting on the -element subsets of Our methods also provide a formula for the base size of many product type permutation groups.
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3. Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature.
PMID:日期:2025-01-01In this short note, we provide a quantitative global Poincaré inequality for one-forms on a closed Riemannian four manifold, in terms of an upper bound on the diameter, a positive lower bound on the volume, and a two-sided bound on the Ricci curvature. This seems to be the first non-trivial result giving such an inequality without any higher curvature assumptions. The proof is based on a Hodge theoretic result on orbifolds, a comparison for fundamental groups, and a spectral convergence with respect to Gromov-Hausdorff convergence, via a degeneration result to orbifolds by Anderson.
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4. Representations of extensions of simple groups.
PMID:日期:2025-01-01Feit and Tits (1978) proved that a nontrivial projective representation of minimal dimension of a finite extension of a finite nonabelian simple group factors through a projective representation of , except for some groups of Lie type in characteristic 2; the exact exceptions for were determined by Kleidman and Liebeck (1989). We generalise this result in two ways. First we consider all low-dimensional projective representations, not just those of minimal dimension. Second we consider all characteristically simple groups, not just simple groups.
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5. A criterion for sequential Cohen-Macaulayness.
PMID:日期:2024-01-01The purpose of this note is to show that a finitely generated graded module over , a field, is sequentially Cohen-Macaulay if and only if its arithmetic degree agrees with , where is a graded free -module and . This answers positively a conjecture of Lu and Yu from 2016.
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6. Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements.
PMID:日期:2024-01-01Let be a Krull domain admitting a prime element with finite residue field and let be its quotient field. We show that for all positive integers and , there exists an integer-valued polynomial on , that is, an element of , which has precisely essentially different factorizations into irreducible elements of whose lengths are exactly . Using this, we characterize lengths of factorizations when is a unique factorization domain and therefore also in case is a discrete valuation domain. This solves an open problem proposed by Cahen, Fontana, Frisch, and Glaz.
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7. On real analytic functions on closed subanalytic domains.
PMID:日期:2024-01-01We show that a function defined on a closed uniformly polynomially cuspidal set in is real analytic if and only if is smooth and all its composites with germs of polynomial curves in are real analytic. The degree of the polynomial curves needed for this is effectively related to the regularity of the boundary of . For instance, if the boundary of is locally Lipschitz, then polynomial curves of degree 2 suffice. In this Lipschitz case, we also prove that a function is real analytic if and only if all its composites with germs of quadratic polynomial maps in two variables with images in are real analytic; here it is not necessary to assume that is smooth.
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8. The linear symmetries of Hill's lunar problem.
PMID:日期:2023-01-01A symmetry of a Hamiltonian system is a symplectic or anti-symplectic involution which leaves the Hamiltonian invariant. For the planar and spatial Hill lunar problem, four resp. eight linear symmetries are well-known. Algebraically, the planar ones form a Klein four-group and the spatial ones form the group . We prove that there are no other linear symmetries. Remarkably, in Hill's system the spatial linear symmetries determine already the planar linear symmetries.
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9. On the growth of multi-recurrences.
PMID:日期:2022-01-01In this paper, we provide a complete proof for a bound on the growth of multi-recurrences which are defined over a number field. The proven bound was already stated by van der Poorten and Schlickewei 40 years ago.
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10. On sufficient density conditions for lattice orbits of relative discrete series.
PMID:日期:2022-01-01This note provides new criteria on a unimodular group and a discrete series representation of formal degree under which any lattice with (resp. ) admits such that is a frame (resp. Riesz sequence). The results apply to all projective discrete series of exponential Lie groups.