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《中国科学:数学》2014,(6):729-733
<正>Some infinite dimensional representations of reductive groups with Frobenius maps XI NanHua Abstract In this paper,we construct certain irreducible infinite dimensional representations of algebraic groups with Frobenius maps.In particular,a few classical results of Steinberg and DeligneLusztig on complex representations of finite groups of Lie type are extended to reductive algebraic groups with Frobenius maps. 相似文献
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《中国科学:数学》2014,(8):I0001-I0006
<正>Ramanujan-type congruences for broken 2-diamond partitions modulo 3CHEN William Y.C.,FAN Anna R.B.YU Rebecca T.Abstract The notion of broken k-diamond partitions was introduced by Andrews and Paule.Let△_k(n)denote the number of broken k-diamond partitions of n,Andrews and Paule also posed three conjectures on the congruences of△_2(n)modulo 2,5 and 25.Hirschhorn and 相似文献
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《中国科学:数学》2014,(10):I0001-I0005
<正>Tail asymptotic expansions for L-statistics HASHORVA Enkelejd,LING ChengXiuPENG ZuoXiang Abstract We derive higher-order expansions of L-statistics of independent risks X1,...,Xn under conditions on the underlying distribution function F.The new results are applied to derive the asymptotic expansions of ratios of two kinds of risk measures,stop-loss premium and excess return on capital,respectively.Several examples and 相似文献
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《中国科学:数学》2014,(7):J0001-J0006
<正>Efficient implementation of the Barnes-Hut octree algorithm for Monte Carlo simulations of charged systems GAN ZeChengXU ZhenLi Abstract Computer simulation with Monte Carlo is an important tool to investigate the function and equilibrium properties of many biological and soft matter materials solvable in solvents.The appropriate treatment of longrange electrostatic interaction is essential for these charged systems, 相似文献