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C Snyder - One of the best experts on this subject based on the ideXlab platform.
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on asymptotic properties of a Number Theoretic Function arising out of a spin chain model in statistical mechanics
Communications in Mathematical Physics, 2001Co-Authors: J Kallies, Manfred Peter, Ali E Ozluk, C SnyderAbstract:Let $$$$ Let N be a positive integer and define Φ(N) as the Number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that $$$$ see [10]. In this note we consider the summatory Function $$$$ and show that $$$$
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On Asymptotic Properties of a Number Theoretic Function Arising out of a Spin Chain Model¶in Statistical Mechanics
Communications in Mathematical Physics, 2001Co-Authors: J Kallies, Manfred Peter, Ali E Ozluk, C SnyderAbstract:Let $$$$ Let N be a positive integer and define Φ(N) as the Number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that $$$$ see [10]. In this note we consider the summatory Function $$$$ and show that $$$$
Manfred Peter - One of the best experts on this subject based on the ideXlab platform.
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On Asymptotic Properties of a Number Theoretic Function Arising out of a Spin Chain Model¶in Statistical Mechanics
Communications in Mathematical Physics, 2001Co-Authors: J Kallies, Manfred Peter, Ali E Ozluk, C SnyderAbstract:Let $$$$ Let N be a positive integer and define Φ(N) as the Number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that $$$$ see [10]. In this note we consider the summatory Function $$$$ and show that $$$$
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on asymptotic properties of a Number Theoretic Function arising out of a spin chain model in statistical mechanics
Communications in Mathematical Physics, 2001Co-Authors: J Kallies, Manfred Peter, Ali E Ozluk, C SnyderAbstract:Let $$$$ Let N be a positive integer and define Φ(N) as the Number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that $$$$ see [10]. In this note we consider the summatory Function $$$$ and show that $$$$
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The Limit Distribution of a Number Theoretic Function Arising from a Problem in Statistical Mechanics
Journal of Number Theory, 2001Co-Authors: Manfred PeterAbstract:Abstract Let A≔ 1 1 0 1 , B≔ 1 0 1 1 , and for n∈ N , let Φ(n) be the Number of matrices C which are products of A's and B's where both A and B must occur, such that the trace tr(C)=n. It has been conjectured that Φ(n)∼ 12 π 2 n log n, n→∞. This conjecture is disproved by showing that φ(n)≔ Φ ( n ) n log n , n⩾2, has an absolutely continuous limit distribution with respect to the Lebesque measure.
J Kallies - One of the best experts on this subject based on the ideXlab platform.
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on asymptotic properties of a Number Theoretic Function arising out of a spin chain model in statistical mechanics
Communications in Mathematical Physics, 2001Co-Authors: J Kallies, Manfred Peter, Ali E Ozluk, C SnyderAbstract:Let $$$$ Let N be a positive integer and define Φ(N) as the Number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that $$$$ see [10]. In this note we consider the summatory Function $$$$ and show that $$$$
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On Asymptotic Properties of a Number Theoretic Function Arising out of a Spin Chain Model¶in Statistical Mechanics
Communications in Mathematical Physics, 2001Co-Authors: J Kallies, Manfred Peter, Ali E Ozluk, C SnyderAbstract:Let $$$$ Let N be a positive integer and define Φ(N) as the Number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that $$$$ see [10]. In this note we consider the summatory Function $$$$ and show that $$$$
Ali E Ozluk - One of the best experts on this subject based on the ideXlab platform.
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on asymptotic properties of a Number Theoretic Function arising out of a spin chain model in statistical mechanics
Communications in Mathematical Physics, 2001Co-Authors: J Kallies, Manfred Peter, Ali E Ozluk, C SnyderAbstract:Let $$$$ Let N be a positive integer and define Φ(N) as the Number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that $$$$ see [10]. In this note we consider the summatory Function $$$$ and show that $$$$
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On Asymptotic Properties of a Number Theoretic Function Arising out of a Spin Chain Model¶in Statistical Mechanics
Communications in Mathematical Physics, 2001Co-Authors: J Kallies, Manfred Peter, Ali E Ozluk, C SnyderAbstract:Let $$$$ Let N be a positive integer and define Φ(N) as the Number of matrices, C, which are products of A and B, where both A and B must occur, such that the trace, Tr(C)=N. It has been conjectured that $$$$ see [10]. In this note we consider the summatory Function $$$$ and show that $$$$
Lu Yu-lin - One of the best experts on this subject based on the ideXlab platform.
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Note on the Square Divisors of an Integer
Science Technology and Engineering, 2009Co-Authors: Lu Yu-linAbstract:The generating Function of the Number-Theoretic Function sum from u~2v=n to ()d(n)|u(v)| is ζ(2s) ζ(s) and improve an earlier result of Zhang and Wang.
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On Mean Value of a Number Theoretic Function in the n-nary
Journal of Weinan Teachers University, 2008Co-Authors: Lu Yu-linAbstract:The calculating formula about multiplication Function of n-nary nonzero digital,the element method,and the conjecture,induction as well as recursion methods were used,in this paper,the multiplication mean value definition was given,we got the third mean value formula Some questions of F.Smarandache's book Only problems,not solutions! have been solved,which played an important role in the research on multiplication Function theory in Smarandache question.
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A Number Theoretic Function and its seventh power mean value formula
Journal of Baoji University of Arts and Sciences, 2006Co-Authors: Lu Yu-linAbstract:Aim To solve aquestion about Number theory counting Function mean value,Such as digital Function sum of binary system and α(m)-Function hypo-mean value.Methods The guess,epagoge,illation are used to solve the guestion.Results The formula of A7(N) is gotten,i.e A7(N)=∑s-1i=0[k7i+1+k6i+1(21+14i)+k5i+1(105+210i+84i2)+k4i+1(35+630i+840i2+280i3)+k3i+1(-210-210i+2 160i2+1 680i3+560i4)+k2i+1(112-420i840i2+840i3+1 680i4+672i5)+ki+1(224i-560i3+672i5+448i6)+128i7]2ki+1-7. Condusion The formula plays a leading role in the studies of Number theory and its application.
