Archiv der Mathematik (ARCH MATH )
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.
 Impact factor0.38Show impact factor historyImpact factorYear
 5year impact0.44
 Cited halflife0.00
 Immediacy index0.02
 Eigenfactor0.01
 Article influence0.45
 WebsiteArchiv der Mathematik website
 Other titlesArchiv der Mathematik, Archives of mathematics, Archives mathématiques
 ISSN0003889X
 OCLC1481903
 Material typePeriodical, Internet resource
 Document typeJournal / Magazine / Newspaper, Internet Resource
Publisher details
 Preprint
 Author can archive a preprint version
 Postprint
 Author can archive a postprint version
 Conditions
 Authors own final version only can be archived
 Publisher's version/PDF cannot be used
 On author's website or institutional repository
 On funders designated website/repository after 12 months at the funders request or as a result of legal obligation
 Published source must be acknowledged
 Must link to publisher version
 Set phrase to accompany link to published version (The original publication is available at www.springerlink.com)
 Articles in some journals can be made Open Access on payment of additional charge
 Classification green
Publications in this journal

Article: Deadcore rates for the fast diffusion equation with a spatially dependent strong absorption
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ABSTRACT: This paper deals with the deadcore rates problem for the fast diffusion equation with a spatially dependent strong absorption. where 0<p<m<1and−1<q<0. By using the selfsimilar transformation technique and the Zelenyak method, we proved that the temporal deadcore rate is nonselfsimilar.Archiv der Mathematik 05/2014; 102(2014):469–481.  [Show abstract] [Hide abstract]
ABSTRACT: Let R be a polynomial ring over ${\mathbb{C}}$. In this paper we show that a polynomial in R [3] is a residual coordinate if and only if it is a stable coordinate.Archiv der Mathematik 05/2014; 100(1).  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we study a uniqueness question of entire functions sharing an entire function of smaller order with their difference operators. The results in this paper extend Theorem 1.1 in [19] by Liu and Yang and deal with Question 1 in [19], where the entire functions are of finite order. Moreover, we repair certain statements in [21] by Li et al., which in turn had depended on questionable assertions of Lemma 2.6 in [20]. Examples are provided to show that the results in this paper are best possible.Archiv der Mathematik 03/2014; 99(3).  [Show abstract] [Hide abstract]
ABSTRACT: A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. The aim of this note is to prove that a group G has a Hall normally embedded subgroup of order B for each subgroup B of G if and only if G is soluble with nilpotent residual cyclic of squarefree order. This is the answer to a problem posed by Li and Liu (J. Algebra 388:1–9, 2013).Archiv der Mathematik 02/2014;  [Show abstract] [Hide abstract]
ABSTRACT: We give necessary and sufficient conditions under which an HNNextension with abelian base group or an amalgamated free product of abelian groups is a Howson group (that is the intersection of any two finitely generated subgroups is finitely generated). We describe HNNextensions and amalgamated free products which are Howson groups without satisfying the Burns–Cohen statements.Archiv der Mathematik 01/2014; 98(2).  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, using an argument of P. Erdős, K. Alniaçik, and É. Saias, we extend earlier results on Liouville numbers, due to P. Erdős, G.J. Rieger, W. Schwarz, K. Alniaçik, É. Saias, E.B. Burger. We also produce new results of algebraic independence related with Liouville numbers and Schanuel’s Conjecture, in the framework of [TEX equation: {G_\delta}] subsets.Archiv der Mathematik 01/2014; 102(1).  [Show abstract] [Hide abstract]
ABSTRACT: In this paper we consider the following Kirchhoff type problem: where [TEX equation: {p\in (2, 6)}] , λ > 0 is a parameter, and V(x) is a given potential. Some existence and nonexistence results are obtained by using variational methods. Also, the “energy doubling” property of nodal solutions of [TEX equation: {(\mathcal{K})}] is discussed in this paper.Archiv der Mathematik 01/2014; 102(2). 
Article: On zeros of Eichler integrals
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ABSTRACT: Eichler integrals play an integral part in the modular parametrizations of elliptic curves. In her master’s thesis, Kodgis conjectures several dozen zeros of Eichler integrals for elliptic curves with conductor ≤ 179. In this paper we prove a general theorem which confirms many of these conjectured zeros. We also provide two ways to generate infinite families of elliptic curves with certain zeros of their Eichler integrals.Archiv der Mathematik 01/2014; 102(1).  [Show abstract] [Hide abstract]
ABSTRACT: A result concerning upper estimates for hyperbolic metrics on subdomains is proved. The method of proof involves a standard technique based on the classical Schwarz–Pick lemma that yields the domain monotonicity of the hyperbolic metric. The information we obtain would be used to estimate the hyperbolic length of a closed curve in the subdomain away from the boundary.Archiv der Mathematik 01/2014; 98(4).  [Show abstract] [Hide abstract]
ABSTRACT: We obtain a new bound for the remainder term in the Weyl law for general cofinite Kleinian groups with finite dimensional unitary representation by applying a Tauberian theorem for the Laplace transform and a suitable truncation argument.Archiv der Mathematik 01/2014; 102(2).  [Show abstract] [Hide abstract]
ABSTRACT: Let [TEX equation: {(\mathcal{A}, \mathcal{B})}] be a cotorsion pair in RMod. We introduce and study the notion of Cartan–Eilenberg [TEX equation: {\mathcal{A}}] complexes. Specifically, we establish some relationships between Cartan–Eilenberg [TEX equation: {\mathcal{A}}] complexes and DG [TEX equation: {\mathcal{A}}] complexes. Using these relationships, some applications are given.Archiv der Mathematik 01/2014; 102(1).  [Show abstract] [Hide abstract]
ABSTRACT: In this note we give a characterization of elementary abelian 2groups in terms of their maximal sumfree subsets.Archiv der Mathematik 01/2014; 102(1). 
Article: Semipermutable πsubgroups
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ABSTRACT: Let H be a πsubgroup of G, and assume that HQ = QH for every Sylow qsubgroup Q of G for all primes q not dividing H. We show that the normal closure H G of H in G has a nilpotent πcomplement, and in the case where π consists of just one prime, H G is solvable.Archiv der Mathematik 01/2014; 102(1).  [Show abstract] [Hide abstract]
ABSTRACT: In this note, we prove a necessary and sufficient condition for whether a dcyclic covering of the complex projective line has gonality 2 (i.e., is elliptic or hyperelliptic), where d is a positive integer. The case of 3 branch points has been solved in our previous paper (see [3]).Archiv der Mathematik 01/2014; 102(2).  [Show abstract] [Hide abstract]
ABSTRACT: We study a Stackelberg strategy subject to the evolutionary linearized Kirchhoff equation for small vibrations of a stretched elastic string when the ends are variables. We assume that we can act in the dynamic of the system by a hierarchy of controls. According to the formulation given by H. von Stackelberg (see [3]), there are local controls, called followers, and global controls, called leaders. In fact, one considers situations where there are two cost (objective) functions. One possible way is to cut the control into two parts, one being thought of as “the leader” and the other one as “the follower”. This situation is studied in the paper, with one of the cost functions being of the controllability type. Existence and uniqueness is proven. The optimality system is given in the paper.Archiv der Mathematik 01/2014; 102(2).  [Show abstract] [Hide abstract]
ABSTRACT: Let q, r ≥ 2 be integers, and denote by s q the sumofdigits function in base q. In 1978, K.B. Stolarsky conjectured that In this paper we prove this conjecture. We show that for polynomials [TEX equation: {P_1(X), P_2(X) \in \mathbb{Z}[X]}] of degrees r 1, r 2 ≥ 1 and integers q 1, q 2 ≥ 2, we have We also present a variant of the problem to polynomial values of prime numbers.Archiv der Mathematik 01/2014; 102(1).  Archiv der Mathematik 01/2014; 102(1).

Article: Bilocal *automorphisms of B(H)
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ABSTRACT: In this note we show that the bilocal *automorphisms of the C*algebra B(H) of all bounded linear operators acting on a complex infinite dimensional separable Hilbert space H are precisely the unital algebra *endomorphisms of B(H).Archiv der Mathematik 01/2014; 102(1).  [Show abstract] [Hide abstract]
ABSTRACT: We find new necessary conditions for the estimate [TEX equation: {u_{L^{q}_{t} (\mathbb{R}; L^{r}_{x} (\mathbb{R}^{n}))} \lesssim\,F_{L^{{\tilde{q}}^{\prime}}_{t}(\mathbb{R};L^{{\tilde{r}}^{\prime}}_{x}(\mathbb{R}^{n}))}}] , where u = u(t, x) is the solution to the Cauchy problem associated with the free inhomogeneous Schrödinger equation with identically zero initial data and inhomogeneity F = F(t, x).Archiv der Mathematik 01/2014; 102(2).
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