Archiv der Mathematik (ARCH MATH)
Journal description
Archiv der Mathematik publishes original contributions preferably not longer than 10 printed pages from the entire field of mathematics and its applications which are of interest to a large readership. Short but comprehensive authors' summaries of longer works which are not yet published as well as limited number of survey articles are also published. The journal is well known for its emphasis on papers dealing with solutions of problems in classical and modern mathematics which are not overly technical in nature.
Current impact factor: 0.48
Impact Factor Rankings
2015 Impact Factor  Available summer 2015 

2013 / 2014 Impact Factor  0.479 
2012 Impact Factor  0.376 
2011 Impact Factor  0.433 
2010 Impact Factor  0.483 
2009 Impact Factor  0.373 
2008 Impact Factor  0.5 
2007 Impact Factor  0.407 
2006 Impact Factor  0.341 
2005 Impact Factor  0.307 
2004 Impact Factor  0.236 
2003 Impact Factor  0.321 
2002 Impact Factor  0.326 
2001 Impact Factor  0.298 
2000 Impact Factor  0.305 
1999 Impact Factor  0.212 
1998 Impact Factor  0.216 
1997 Impact Factor  0.281 
1996 Impact Factor  0.17 
1995 Impact Factor  0.232 
1994 Impact Factor  0.232 
1993 Impact Factor  0.225 
1992 Impact Factor  0.283 
Impact factor over time
Additional details
5year impact  0.44 

Cited halflife  0.00 
Immediacy index  0.02 
Eigenfactor  0.01 
Article influence  0.45 
Website  Archiv der Mathematik website 
Other titles  Archiv der Mathematik, Archives of mathematics, Archives mathématiques 
ISSN  0003889X 
OCLC  1481903 
Material type  Periodical, Internet resource 
Document type  Journal / Magazine / Newspaper, Internet Resource 
Publisher details

Preprint
 Author can archive a preprint version

Postprint
 Author can archive a postprint version

Conditions
 Author's preprint on preprint servers such as arXiv.org
 Author's postprint on author's personal website immediately
 Author's postprint on any open access repository after 12 months after publication
 Publisher's version/PDF cannot be used
 Published source must be acknowledged
 Must link to publisher version
 Set phrase to accompany link to published version (see policy)
 Articles in some journals can be made Open Access on payment of additional charge

Classification green
Publications in this journal

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ABSTRACT: In this paper by using the notion of homogeneity property of the isosceles orthogonality, we derive some characterizations of inner product spaces. We also prove that a weakened hypothesis of the homogeneity of the isosceles orthogonality and a weakened reformulation of the Ficken characterization can still characterize inner product spaces. Finally, we present a characterization of inner product spaces related to an angular distance equality.Archiv der Mathematik 05/2015; 104(5). DOI:10.1007/s0001301507625 
Article: On Eisenstein reciprocity
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ABSTRACT: Let p, q, r be distinct rational primes. It is shown that the pth power residue symbol \({(q/r)_p = 1}\) over the pth cyclotomic field provided p is odd. This will be used for an elementary approach to the classical Eisenstein reciprocity law. We also examine when q is a pth power in \({\mathbb{F}_r^* = (\mathbb{Z}/r\mathbb{Z})^*}\) .Archiv der Mathematik 04/2015; 104(4). DOI:10.1007/s0001301507456 
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ABSTRACT: Let G be a finite group, written multiplicatively. Define \({\mathsf{E}(G)}\) to be the minimal integer t such that every sequence of t elements (repetition allowed) in G contains a subsequence with length \({G}\) and with product one (in some order). Let p be the smallest prime divisor of \({G}\) . In this paper we prove that if G is a noncyclic nilpotent group then \({\mathsf{E}(G) \le G+\frac{G}{p}+p2}\) , which confirms partially a conjecture by Gao and Li. We also determine the exact value of \({\mathsf{E}(G)}\) for \({G=C_{p}\ltimes C_{pn}}\) when p is a prime, which confirms partially another conjecture by Zhuang and Gao.Archiv der Mathematik 04/2015; 104(4). DOI:10.1007/s0001301507394 
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ABSTRACT: In this paper, we consider the split common null point problem in Banach spaces. Then using the metric resolvents of maximal monotone operators and the metric projections, we prove a strong convergence theorem for finding a solution of the split common null point problem in Banach spaces. The result of this paper seems to be the first one to study it outside Hilbert spaces.Archiv der Mathematik 04/2015; 104(4). DOI:10.1007/s0001301507385 
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ABSTRACT: Let X be a smooth curve of genus g > 0. For any \({n\geq 2}\) and any n distinct points \({P_1,\dots ,P_n\in X}\) , let \({H(P_1,\dots ,P_n)}\) be the set of all \({(a_1,\dots ,a_n)\in \mathbb {N}^n}\) such that \({\mathcal {O}_X(a_1P_1+\cdots +a_nP_n)}\) is spanned. Let e(g, n) be the maximum of all \({a_1+\cdots +a_n}\) among all \({(a_1,\dots ,a_n)}\) in a minimal subset of \({H(P_1,\dots ,P_n)}\) generating it as a semigroup, for some \({P_1,\dots ,P_n}\) and some X of genus g. We prove that \({e(g,n) \leq 3g1}\) and that e(g, n) = 3g − 1 in characteristic 0.Archiv der Mathematik 04/2015; 104(4). DOI:10.1007/s000130150740y 
Article: C k solvability near the characteristic set for a class of elliptic vector fields with degeneracies
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ABSTRACT: This paper deals with the solvability near the characteristic set Σ={0}×S1 of operators of the form L=∂/∂t+(xna(x)+ixb(x))∂/∂x, b(0)≠0 and n≥2, defined on Ωϵ=(−ϵ,ϵ)×S1,ϵ>0, where a and b are realvalued smooth functions in (−ϵ,ϵ). For fixed k≥1 , it is shown that given f belonging to a subspace of finite codimension (depending on k) of C∞(Ωϵ) there is a solution u∈Ck of the equation Lu = f in a neighborhood of Σ .Archiv der Mathematik 02/2015; DOI:10.1007/s0001301507358 
Article: Contact open books with exotic pages
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ABSTRACT: We consider a fixed contact 3manifold that admits infinitely many compact Stein fillings which are all homeomorphic but pairwise nondiffeomorphic. Each of these fillings gives rise to a closed contact 5manifold described as a contact open book whose page is the filling at hand and whose monodromy is the identity symplectomorphism. We show that the resulting infinitely many contact 5manifolds are all diffeomorphic but pairwise noncontactomorphic. Moreover, we explicitly determine these contact 5manifolds.Archiv der Mathematik 02/2015; DOI:10.1007/s0001301507536 
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ABSTRACT: We introduce a new method which can be used to establish sharp Hardytype inequalities on the positive halfline. As an illustration, we present a new proof of a classical result due to Bliss.Archiv der Mathematik 01/2015; 104(2). DOI:10.1007/s0001301407225 
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ABSTRACT: The support measures of a convex body are a common generalization of the curvature measures and the area measures. With respect to the Hausdorff metric on the space of convex bodies, they are weakly continuous. We provide a quantitative improvement of this result by establishing a Hölder estimate for the support measures in terms of the bounded Lipschitz metric which metrizes the weak convergence. Specializing the result to area measures yields a reverse counterpart to earlier stability estimates, concerning Minkowski’s existence theorem for convex bodies with given area measure.Archiv der Mathematik 01/2015; 104(1). DOI:10.1007/s0001301407190 
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ABSTRACT: We study dynamical properties of the dispersion management equation with vanishing average dispersion. Our main result establishes the stability of the set of ground states.Archiv der Mathematik 01/2015; DOI:10.1007/s000130150731z 
Archiv der Mathematik 01/2015; 104(1). DOI:10.1007/s0001301407154

Article: A Pietsch domination theorem for $${(\ell_{p}^{s},\ell_{p})}$$ ( ℓ p s , ℓ p ) summing operators
Archiv der Mathematik 01/2015; DOI:10.1007/s0001301407029 
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ABSTRACT: In this short note, we provide a simple proof of Hardy’s inequality in a limiting case. In the proof we do not need any symmetrization technique such as the Polya–Szegö inequality for the spherical decreasing rearrangement.Archiv der Mathematik 12/2014; 104(1). DOI:10.1007/s0001301407118 
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ABSTRACT: In this note, we show that if a finite group G has only one conjugacy class of subgroups of an odd prime order p, then G has a pblock of defect zero if and only if O p (G) = 1. Generally, this result is not true for p even. However, we show that it is true if G does not have quotient groups isomorphic to M 22 or A 7.Archiv der Mathematik 12/2014; 104(3). DOI:10.1007/s0001301407127 
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ABSTRACT: About last 70s, Haynsworth [6] used a result of the Schur complement to refine a determinant inequality for positive definite matrices. Haynsworth's result was improved by Hartfiel [5]. We extend their result to a larger class of matrices, namely, matrices whose numerical range is contained in a sector. Our proof relies on a number of new relations for the Schur complement of this class of matrices.Archiv der Mathematik 10/2014; 104(1). DOI:10.1007/s0001301407172 
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ABSTRACT: First, we study constructible subsets of $\A^n_k$ which contain a line in any direction. We classify the smallest such subsets in $\A^3$ of the type $R\cup\{g\neq 0\},$ where $g\in k[x_1,...,x_n]$ is irreducible of degree $d$, and $R\subset V(g)$ is closed. Next, we study subvarieties $X\subset\A^N$ for which the set of directions of lines contined in $X$ has the maximal possible dimension. These are variants of the Kakeya problem in an algebraic geometry context.Archiv der Mathematik 10/2014; 103(3). DOI:10.1007/s0001301406856
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.