共查询到20条相似文献,搜索用时 15 毫秒
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Let be a nontrivial torsion group and be the ring of integers of an algebraic number field. The necessary and sufficient conditions are given under which has only trivial units.
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J. J. M. Soto 《Archiv der Mathematik》2000,75(2):113-115
The purpose of this paper is to remind that the André-Quillen homology theory is a very useful tool to study Hochschild homology of commutative algebras. We choose as an example a computation of Hochschild homology of Dedekind extensions. 相似文献
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Mathematische Zeitschrift - 相似文献
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Ronald Evans 《Transactions of the American Mathematical Society》2001,353(11):4429-4445
Let denote the ring of integers of an algebraic number field of degree which is totally and tamely ramified at the prime . Write , where . We evaluate the twisted Kloosterman sum
where and denote trace and norm, and where is a Dirichlet character (mod ). This extends results of Salié for and of Yangbo Ye for prime dividing Our method is based upon our evaluation of the Gauss sum
which extends results of Mauclaire for .
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Jim Coykendall 《Proceedings of the American Mathematical Society》1996,124(6):1727-1732
The image of the norm map from to (two rings of algebraic integers) is a multiplicative monoid . We present conditions under which is a UFD if and only if has unique factorization into irreducible elements. From this we derive a bound for checking if is a UFD.
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Michel Grandcolas. 《Mathematics of Computation》1998,67(222):821-831
We give bounds for the coefficients of a polynomial as functions of the diameter of its roots, hence we obtain polynomials with minimal diameters and small degree
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We are interested in expressing each of a given set of non-negative integers as the sum of two members of a second set, the second set to be chosen as economically as possible.So let us call B a basis for A if to every a ∈ A there exist b, b′ ∈ B such that a = b + b′. We concern ourselves primarily with finite sets, A, since the results for infinite sets generally follow from these by the familiar process of condensation. 相似文献
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E. M. Matveev 《Mathematical Notes》1991,49(4):437-438
Translated from Matematicheskie Zametki, Vol. 49, No. 4, pp. 152–154, April, 1991. 相似文献
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The Ramanujan Journal - An upper quasi-density on $$\mathbf{{H}}$$ (the integers or the non-negative integers) is a real-valued subadditive function $$\mu ^\star $$ defined on the whole power set... 相似文献
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Ami Litman 《Discrete Mathematics》2009,309(4):797-813
This work studies evenly distributed sets of integers—sets whose quantity within each interval is proportional to the size of the interval, up to a bounded additive deviation. Namely, for ρ,Δ∈R a set A of integers is (ρ,Δ)- smooth if for any interval I of integers; a set A is Δ-smooth if it is (ρ,Δ)-smooth for some real number ρ. The paper introduces the concept of Δ-smooth sets and studies their mathematical structure. It focuses on tools for constructing smooth sets having certain desirable properties and, in particular, on mathematical operations on these sets. Three additional papers by us are build on the work of this paper and present practical applications of smooth sets to common and well-studied scheduling problems.One of the above mathematical operations is composition of sets of natural numbers. For two infinite sets A,B⊆N, the composition of A and B is the subset D of A such that, for all i, the ith member of A is in D if and only if the ith member of N is in B. This operator enables the partition of a (ρ,Δ)-smooth set into two sets that are (ρ1,Δ)-smooth and (ρ2,Δ)-smooth, for any ρ1,ρ2 and Δ obeying some reasonable restrictions. Another powerful tool for constructing smooth sets is a one-to-one partial function f from the unit interval into the natural numbers having the property that any real interval X⊆[0,1) has a subinterval Y which is ‘very close’ to X s.t. f(Y) is (ρ,Δ)-smooth, where ρ is the length of Y and Δ is a small constant. 相似文献
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