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Renormdynamics, multiparticle production, negative binomial distribution and Riemann zeta function
Renormdynamics multiparticle production negative binomial distribution Riemann zeta function
2011/3/1
Renormdynamic equations of motion and their solutions are given. New equation for NBD distribution and Riemann zeta function invented. Explicit forms of the z-Scaling functions are constructed.
The distribution functions of $\sigma(n)/n$ and $n/\phi(n)$, II
The distribution functions math
2010/11/23
Let $\sigma(n)$ be the sum of the positive divisors of $n$, and let $A(t)$ be the natural density of the set of positive integers $n$ satisfying $\sigma(n)/n \ge t$. We give an improved asymptotic re...
Rubio de Francia's extrapolation theory: estimates for the distribution function
Rubio de Francia's extrapolation theory the distribution function
2010/11/15
Let $T$ be an arbitrary operator bounded from $L^{p_0}(w)$ into $L^{p_0, \infty}(w)$ for every weight $w$ in the Muckenhoupt class $A_{p_0}$. It is proved in this article that the distribution functi...
On the Distribution of Random Dirichlet Series in the Whole Plane
Random Dirichlet series Order(R) strong Borel line little function
2010/2/25
For some random Dirichlet series of order(R) infinite almost surely, every horizontal line is a strong Borel line of order(R) infinite and without exceptional Little functions.