共查询到12条相似文献,搜索用时 0 毫秒
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Let K be a function field over finite field
and let
be a ring consisting of elements of K regular away from a fixed place of K. Let be a Drinfeld
-module defined over an
-field L. In the case where L is a finite
-field, we study the characteristic polynomial
of the geometric Frobenius. A formula for the sign of the constant term of
in terms of leading coefficient of is given. General formula to determine signs of other coefficients of
is also derived. In the case where L is a global
-field of generic characteristic, we apply these formulae to compute the Dirichlet density of places where the Frobenius traces have the maximal possible degree permitted by the Riemann hypothesis. 相似文献
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Nai Hong HU Shen You WANG 《数学学报(英文版)》2014,30(10):1674-1688
In the paper, we further realize the higher rank quantized universal enveloping algebra Uq(sln+1) as certain quantum differential operators in the quantum Weyl algebra Wq (2n) defined over the quantum divided power algebra Sq(n) of rank n. We give the quantum differential operators realization for both the simple root vectors and the non-simple root vectors of Uq(sln+1). The nice behavior of the quantum root vectors formulas under the action of the Lusztig symmetries once again indicates that our realization model is naturally matched. 相似文献
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为在经典逻辑学中建立Fuzzy分离规则的推理模式,由赋值决定公式问题(简称VDF问题)已经提出,并已在二值命题逻辑L和p+1(p为素数)值Lukasiewicz命题逻辑中得到了解决,但是对一般的n+1(n〉3且n不是素数)值Lukasiewicz命题逻辑系统L(n+1),VDF问题相当复杂且尚未解决.本文尝试在一类特殊的n+1值Lukasiewicz命题逻辑系统L(n+1),即L(n+1)的赋值域W(n+1)的所有子代数在包含序下构成一个链中建立VDF问题的求解理论,并完满地解决了这类n+1值Lukasiewicz命题逻辑系统L(n+1)中的VDF问题. 相似文献
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I. Baoulina 《Acta Appl Math》2005,85(1-3):35-39
We obtain an explicit formula for the number of solutions of a special equation in a finite field under a certain restriction on the exponents.
Mathematics Subject Classifications (2000) primary: 11G25, secondary: 11T24. 相似文献
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We investigate the global stability, the periodic character and the boundedness nature of solutions of the equation in the title for all admissible nonnegative values of the parameters and the initial conditions. We show that the solutions exhibit a trichotomy character depending on how the parameter γ compares to the sum of the parameters δ and A. 相似文献