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本文讨论了Z[(-5)1/2]上不可分的正定Hermite型的构作.给出了所有秩为2判别式等于2的不可分的正定Hermite型.当秩n≥3时,证明了存在Z[(-5)1/2]上判别式等于2的不可分的正定Hermite型,并给出了它们的明显结构. 相似文献
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本文讨论了Z[-5]上不可分的正定Hermite型的构作.给出了所有秩为2判别式等于2的不可分的正定Hermite型.当秩n≥3时,证明了存在Z[-5]上判别式等于2的不可分的正定Hermite型,并给出了它们的明显结构. 相似文献
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虚二次域上不可分的正定Hermite型的构作 总被引:2,自引:0,他引:2
朱福祖 《数学年刊A辑(中文版)》1997,(1)
本文给出了构作虚二次域IQ(-m)上不可分的正定整Hermite型的方法.对任意给定的自然数n,d和无平方因子的m,当m3(mod4),除了m=1时n=2,d=1;n=3,d=1,3;n=5,d=1和m=2时n=3,d=1这5个例外,证明了存在IQ(-m)上不可分的正定整Hermite格,其秩为n且判别式为d,并给出它们的明确结构.在上述5个例外情形下,不存在具有上述性质的格. 相似文献
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本文给出了构作Z[m1/2i]上不可分的正定幺模n秩Hermite格当m?3(mod4)时的方法.对任何自然数n,除了n=2,3,4,5(n=2,3)的例外情形,证明了存在Gauss整环Z[i](整环Z[21/2i])上不可分的正定幺模n秩正规Hermi-te格并给出它们的明显结构.又对任何n=4k(n=2k)构作了Z[i][(Z21/2i])上不可分的正定幺模n秩偶Hermite格. 相似文献
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设 R 为虚二次域 Q(-11)~(1/2)的代数整数环,C_(n,Δ_n) 为秩 n 而判别式=Δ_n 的 R上正定 Hermite 型的类数。作者应用 Hermite 约简理论确定了类数 C_(2,3)=C_(2,4)=C_(2,5)=2;C_(3,2)=C_(3,3)=3;C_(4,1)=5并给出了每一类的代表型。 相似文献
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给出构作虚二次域Q( √-m)的整数环Rm 上的不可分解的正定Hermite型的方法 .对任意自然数n≥ 2 (n≥ 1 3或奇数n≥ 3)和不含平方因子的m =1 2k +t,k≥ 1且t∈ {1 ,7}(k≥ 1且t=2或k≥ 0且t∈ {5 ,1 0 ,1 1 }) ,存在环Rm 上n秩不可分解的正定整Hermite型 ,其判别式为 2 ,并给出它们的明显结构 .对于判别式不等于2的情况也做了相应的讨论 . 相似文献
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本文综合利用邻格方法及Siegelmass公式对Z[(1 2 1) /2 ]上秩 4的正定幺模格实现了分类 ,得到了gen(I4 )的类数为 9,偶模格的类数为 3,并且给了代表格 相似文献
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在有理整体函数域F11(x)上仅存在秩1-6的不可分整二次型.本文构造了F11(x)的适当哈塞环上秩2-6的不可分格. 相似文献
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《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
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《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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ZhouSongping YaoKui SuWeiyi 《分析论及其应用》2004,20(4):332-341
The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions. 相似文献
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《应用数学学报(英文版)》2014,(4)
正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science. 相似文献
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We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence
kernels.
Work on the paper was supported by Council of Czech Government No J14/98:153100011. 相似文献
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A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.
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We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T
4,-spaces. 相似文献
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A. Barkhudaryan R. Barkhudaryan A. Poghosyan 《分析论及其应用》2007,23(3):228-242
The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called "jumps" is studied and asymptotic L2 constants of the rate of convergence of the method are computed. 相似文献