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本文讨论了2类具体的主理想整环上的拟循环模,研究了A-宽有限的向量空间,刻画了该类向量空间的结构,阐述了A-宽有限的向量空间的A-不变子空间构成的偏序集必满足极小条件,并给出了带有线性变换的向量空间作为F[λ]-模构成拟循环模的一个充要条件.
A-posteriori probability (APP) receivers operating over multiple-input, multiple-output channels provide enhanced performance at the cost of increased complexity. However, employing full APP processi...
We show that the evaluation of an integral considered by Boros and Moll is a special case of a convolution result about Student t-densities obtained by the authors in 2008.
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible characters of an Hecke algebra Hq(Sn) are concentrated around the normalized trace of Hq(Sn). More preci...
A Danilov-Gizatullin surface is an affine surface V which is the com-plement of an ample section S of a Hirzebruch surface. The remarkable theorem of Danilov and Gizatullin states that the isomorphism...
A classical theorem of Landau states that, if an ordinary Dirichlet series has non-negative coefficients, then it has a singularity on the real line at its abscissae of absolute convergence.
A classical inequality due to Bohnenblust and Hille states that for every N ∈ N and every m-linear mapping U : ℓN 1 × · · · × ℓN 1 → C we have N X i1,...,im=1 U(ei1 , ..., eim) 2m m...
In this report, we consider Adelman’s algorithm for generating shortest permutation strings. We introduce a new representation approach which reveals some properties of Adelman’s algorithm.
We show that the notions of R-trivial monoid and weakly ordered monoid are equivalent. We use this fact to construct a complete system of orthogonal idempotents for all R-trivial monoids.
On the symmetry of primes      symmetry  primes        2010/12/15
We prove a kind of “almost all symmetry” result for the primes, i.e. we give non-trivial bounds for the “symmetry integral”, say I(N, h), of the von Mangoldt function (n) (:= log p for prime-powers ...
We consider a stochastic volatility model with L´evy jumps for a log-return pro-cess Z = (Zt)t≥0 of the form Z = U +X, where U = (Ut)t≥0 is a classical stochastic volatility process and X = (Xt)...
一类算数函数的均值估计。
设奇数q≥3存在原根,研究模q的原根中D.H.Lehmer数与它的逆的差的分布性质,并给出了一个较强的渐近公式。
设q>2是一个奇数,对任意整数1≤a≤q-1且(a,q)=1,存在唯一的整数1≤a≤q-1,使得aa≡1(mold),定义数a为Lehmer数,如果a和^-a具有相反的奇偶性。研究算术级数中LehmerDH数扔分布性能,并证明一个有趣的极限分布定量和渐近公式。
利用三角和转换与某种特征和的估计,给出了涉及二次剩余 及原根的两个伽利佛问题的渐近公式。

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