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1.
LetK be a quadratic Geld, and letR(N) be the number of integer ideals inK with norm at most AT. Letx with conductork be the quadratic character associated withK. Then |R(N)−NL(1,x)|⩽Bk
50/73
N
23/73(logN)461/146 forN ≥Ak, whereA andB are constants. ForN ≥Ak
c,C
sufficiently large, the factork
50/73 may be replaced by (d(k))4/73
k
46/73.
Dedicated to the memory of Professor K G Ramanathan 相似文献
2.
S. Alpay E. Yu. Emel'yanov Z. Ercan 《Proceedings of the American Mathematical Society》2004,132(12):3627-3628
In this paper we give a characterization of order ideals in Riesz spaces.
3.
The core of an ideal is the intersection of all its reductions. We describe the core of a zero-dimensional monomial ideal I as the largest monomial ideal contained in a general reduction of I. This provides a new interpretation of the core in the monomial case as well as an efficient algorithm for computing it. We relate the core to adjoints and first coefficient ideals, and in dimension two and three we give explicit formulas. 相似文献
4.
We characterize δ-I-sets, discuss the relation between δ-sets, δ-I-sets and I
δ-sets and generalize some of the results. 相似文献
5.
Jamilson R. Campos 《Linear and Multilinear Algebra》2013,61(3):322-346
Considering the successful theory of multiple summing multilinear operators as a prototype, we introduce the classes of multiple Cohen strongly p-summing multilinear operators and polynomials. The adequacy of these classes under the viewpoint of the theory of multilinear and polynomial ideals and holomorphy types is discussed in detail. 相似文献
6.
As generalizations of annihilators and associated primes, we introduce the notions of weak annihilators and weak associated primes, respectively. We first study the properties of the weak annihilator of a subset X in a ring R. We next investigate how the weak associated primes of a ring R behave under passage to the skew monoid ring R*M. Let R be a semicommutative ring, and M an ordered monoid and φ: M → Aut(R) a compatible monoid homomorphism. Then we can describe all weak associated primes of the skew monoid ring R*M in terms of the weak associated primes of R in a very straightforward way. 相似文献
7.
8.
Matthieu Le Floc''h 《K-Theory》2002,27(3):281-292
Let F be an Abelian number field and S the set of primes of F that are either ramified or over p, with p an odd prime. In this paper we compute the (first) Fitting ideal of K
2i–2
ét
(O
F
S
() for i 2, where O
F
S
is the ring of S-integers of F and is a character of Gal(F/) of order prime to p different from the ith power of the Teichmüller character. This Fitting ideal proves to be principal and generated by a Stickelberger element. 相似文献
9.
无限维空间中的实零点定理 总被引:2,自引:2,他引:0
在本文中,我们建立了无限维空间中的实零点定理,同时从仿射空间的拓扑结构和域的序结构两个方面,分别刻划了适合无限维实零点定理的序域.此外,本文有例子表明,对任意的基数α,确实存在适合α维实零点定理的序域. 相似文献
10.
Ideal Topology on Effect Algebras 总被引:2,自引:0,他引:2
The ideals of effect algebras induce a topology on effect algebras. The operations and of effect algebras are continuous with respect to this topology. 相似文献