This article investigates the convergence and growth of multiple Dirichlet series. The Valiron formula of Dirichlet series is extended to n-tuple Dirichlet series and an equivalence relation between the order of n-tup...This article investigates the convergence and growth of multiple Dirichlet series. The Valiron formula of Dirichlet series is extended to n-tuple Dirichlet series and an equivalence relation between the order of n-tuple Dirichlet series and its coefficients and exponents is obtained.展开更多
Based on the space diversity reception,the binary phase-shift keying(BPSK) modulated free space optical(FSO) system over Málaga(M) fading channels is investigated in detail.Under independently and identically dis...Based on the space diversity reception,the binary phase-shift keying(BPSK) modulated free space optical(FSO) system over Málaga(M) fading channels is investigated in detail.Under independently and identically distributed and independently and non-identically distributed dual branches,the analytical average bit error rate(ABER) expressions in terms of H-Fox function for maximal ratio combining(MRC) and equal gain combining(EGC) diversity techniques are derived,respectively,by transforming the modified Bessel function of the second kind into the integral form of Meijer Gfunction.Monte Carlo(MC) simulation is also provided to verify the accuracy of the presented models.展开更多
A Clifford deformation of a Koszul Frobenius algebra E is a finite dimensional Z_(2)-graded algebra E(θ),which corresponds to a noncommutative quadric hypersurface E^(!)/(z)for some central regular element z∈E_(2)^(...A Clifford deformation of a Koszul Frobenius algebra E is a finite dimensional Z_(2)-graded algebra E(θ),which corresponds to a noncommutative quadric hypersurface E^(!)/(z)for some central regular element z∈E_(2)^(!).It turns out that the bounded derived category D^(b)(gr_(Z_(2))E(θ))is equivalent to the stable category of the maximal Cohen-Macaulay modules over E^(!)/(z)provided that E!is noetherian.As a consequence,E^(!)/(z)is a noncommutative isolated singularity if and only if the corresponding Clifford deformation E(θ)is a semisimple Z_(2)-graded algebra.The preceding equivalence of triangulated categories also indicates that Clifford deformations of trivial extensions of a Koszul Frobenius algebra are related to Knörrer's periodicity theorem for quadric hypersurfaces.As an application,we recover Knörrer's periodicity theorem without using matrix factorizations.展开更多
基金Supported by the National Science Foundation of China(10771011)the National Key Basic Research Project of China(2005CB321902)
文摘This article investigates the convergence and growth of multiple Dirichlet series. The Valiron formula of Dirichlet series is extended to n-tuple Dirichlet series and an equivalence relation between the order of n-tuple Dirichlet series and its coefficients and exponents is obtained.
基金supported by the National Natural Science Foundation of China(No.61474090)the Nature Science Basic Research Plan in Shaanxi Province of China(No.2014JM8340)the China Postdoctoral Science Special Foundation(No.201104659)
文摘Based on the space diversity reception,the binary phase-shift keying(BPSK) modulated free space optical(FSO) system over Málaga(M) fading channels is investigated in detail.Under independently and identically distributed and independently and non-identically distributed dual branches,the analytical average bit error rate(ABER) expressions in terms of H-Fox function for maximal ratio combining(MRC) and equal gain combining(EGC) diversity techniques are derived,respectively,by transforming the modified Bessel function of the second kind into the integral form of Meijer Gfunction.Monte Carlo(MC) simulation is also provided to verify the accuracy of the presented models.
基金supported by ZJNSF(LY19A010011)NSFC(11971141,12371017)supported by NSFC(11971449,12131015,12371042).
文摘A Clifford deformation of a Koszul Frobenius algebra E is a finite dimensional Z_(2)-graded algebra E(θ),which corresponds to a noncommutative quadric hypersurface E^(!)/(z)for some central regular element z∈E_(2)^(!).It turns out that the bounded derived category D^(b)(gr_(Z_(2))E(θ))is equivalent to the stable category of the maximal Cohen-Macaulay modules over E^(!)/(z)provided that E!is noetherian.As a consequence,E^(!)/(z)is a noncommutative isolated singularity if and only if the corresponding Clifford deformation E(θ)is a semisimple Z_(2)-graded algebra.The preceding equivalence of triangulated categories also indicates that Clifford deformations of trivial extensions of a Koszul Frobenius algebra are related to Knörrer's periodicity theorem for quadric hypersurfaces.As an application,we recover Knörrer's periodicity theorem without using matrix factorizations.
