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The generating function for the Dirichlet series Lm(s)
Dirichlet series generalized Euler and class number ∧-alternating augmented m-signed permutation r-cubical lattice Springer number
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2014/6/3
The Dirichlet series Lm(s) are of fundamental importance in number theory. Shanks defined the generalized Euler and class numbers in connection with the Dirichlet series, denoted by {sm, n}n≥0. We obt...
Classification of Kac representations in the logarithmic minimal models LM(1,p)
Classification of Kac representations logarithmic minimal models LM(1,p)
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2011/3/3
For each pair of positive integers r, s, there is a so-called Kac representation (r, s) associated with a Yang-Baxter integrable boundary condition in the lattice approach to the logarithmic minimal m...
Stability of limit cycle in a delayed IS-LM business cycle model
IS-LM business cycle delayed differential equations
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2010/9/14
In this paper, we extend the work of J. Cai [1] in the nonlinear case using the investment function of the Kaldor-type. Actually we investigate the direction of the Hopf bifurcation and the stability ...
On the dynamic behavior of a delayed IS-LM business cycle model
IS-LM business cycle delayed differential equations
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2010/9/13
In this paper, we formulate a delayed IS-LM model of business cycle. This model is represented by the Gabisch model [2] in considering the Kalecki assumption on time lag investment [5], i.e. there is ...
弱序列式回缩 (LM)-空间的特征
诱导极限 弱零调性 Retakh's 条件
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2007/12/11
本文研究 Retakh's 条件 $(M_0)$,正则性和弱序列式回缩性之间的关系. 对于 (LM)-空间, 弱序列式回缩性等价于正则性加上一个介于 $(Q_0)$ 和 $(M_0)$ 之间的条件. 对于 (LN)-空间, 我们获得了更满意的结果, 证明了弱序列式回缩性等价于正则性加上条件 $(M_0)$, 也等价于一个非常 弱的正则性条件加上条件 $(M_0)$ (见文献[1--28]).