On Asymptotic Properties of a Number Theoretic Function Arising out of a Spin Chain Model in Statistical Mechanics

J. Kallies; A. Özlük; M. Peter; C. Snyder

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On Asymptotic Properties of a Number Theoretic Function Arising out of a Spin Chain Model in Statistical Mechanics

机译：统计力学中自旋链模型产生的数论函数的渐近性质

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Let Let N be a positive integer and define Φ(N) as the number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that see [10]. In this note we consider the summatory function and show that

机译：令N为一个正整数，并将Φ（N）定义为矩阵A的数量，矩阵C是A和B的乘积，其中A和B都必须出现，因此迹线Tr（C）= N。据推测，见[10]。在本说明中，我们考虑了求和函数，并表明

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《Communications in Mathematical Physics》 |2001年第1期|9-43|共35页
作者
J. Kallies; A. Özlük; M. Peter; C. Snyder;
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Mathematisches Institut Universität zu Köln Köln Germany. E-mail: kallies@mi.uni-koeln.de;

Department of Mathematics University of Maine and Research Institute of Mathematics¶Orono ME USA. E-mail: ozluk@gauss.umemat.maine.edu;

snyder@gauss.umemat.maine.edu;

Mathematisches Institut Universität Freiburg Freiburg Germany.¶E-mail: peter@arcade.mathematik.uni-freiburg.de;

Department of Mathematics University of Maine and Research Institute of Mathematics¶Orono ME USA. E-mail: ozluk@gauss.umemat.maine.edu;

snyder@gauss.umemat.maine.edu;

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机译：统计力学中自旋链模型产生的数论函数的渐近性质
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On Asymptotic Properties of a Number Theoretic Function Arising out of a Spin Chain Model in Statistical Mechanics

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