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We derive a decoupling formula for the Brownian sheet which has the following ready consequence: An N-parameter Brownian sheet in Rd has double points if and only if 2(d − 2N) < d. In particular...
From the viewpoint of semi-abelian homology, some recent results on homology of Leibniz n-algebras can be explained categorically. In parallel with these results, we develop an analogous theory for Li...
The paper revisits concretely the algebraic K -theory in the light of the global program of Langlands by taking into account the new algebraic interpretation of homotopy viewed as deformation(s) of Ga...
In this paper, we investigate the roles of compact sets in the space of tempered distributions S′. The key notion is “k-spaces”, which constitute a fairly general class of topological spaces. In a k-s...
The K-theoretic analog of Spanier-Whitehead duality for noncommutative C-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces.This had previously been proved only ...
If A is a homotopy cartesian square of ring spectra satisfying connectivity hypotheses, then the cube induced by Goodwillie’s integral cyclotomic trace K(A) ! TC(A) is homotopy cartesian. In other wor...
Assume that for some < 1 and for all nutural n a set Fn of at most 2 n “forbidden” binary strings of length n is fixed. Then there exists an infinite binary sequence ! that does not have (long) forb...
K理论在实现问题中的应用          2007/12/13
我们研究Steenrod代数上的多项式代数能否实现为拓扑空间的上同调环的问题。根据Adams和Hubbuck的思想,我们应用K-理论及Adams运算来研究上述问题,并得到本文的主要结果——定理2.4.它推广了Hubbuck和Wilkerson的结果。
关于k重S-完全数     Smarandache函数  k重S-完全数  存在性       2012/11/30
对于正整数n,设S(n)是Smarandache函数,f(n)=d|n S(d).对于正整数k,若n适合f(n)=kn,则称n是一个k重S-完全数.证明了:当k>2时,不存在k重S-完全数.
利用Kloostermann和估计、特征和的性质及其解析方法研究了Dirichlet L-函数的k次加权均值分布,得到一个有趣的加权均值分布公式.

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