搜索结果: 1-12 共查到“the Riemann zeta function”相关记录12条 . 查询时间(0.091 秒)
On an inequality for the Riemann zeta-function in the critical strip
Riemann zeta-function size of the Riemann zeta-function new inequalities critical strip
2012/6/30
By using new power inequalities we give an elementary proof of an important relation for the Riemann zeta-function |\zeta(1-s)| <= |\zeta(s)| in the strip 0< Re s<1/2,\ |\Im s| >= 12. Moreover, we est...
Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function
Freezing Transition Characteristic Polynomials Random Matrices the Riemann Zeta-Function
2012/2/24
We argue that the freezing transition scenario, previously explored in the statistical mechanics of 1/f-noise random energy models, also determines the value distribution of the maximum of the modulus...
Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself
Riemann zeta-function Jacob's ladders Classical Analysis and ODEs
2011/9/21
Abstract: It is proved that some set of the values of $|\zeta(\sigma_0+i\vp_1(t))|^2$ on every fixed line $\sigma=\sigma_0>1$ generates a corresponding set of the values of $|\zeta(\frac 12+it)|^2$ on...
Recursion Relations and Functional Equations for the Riemann Zeta Function
Riemann zeta function zeros of zeta function recursion relation of zeta function functional equation of zeta function
2011/9/14
Abstract: New recursion relations for the Riemann zeta function are introduced. Their derivation started from the standard functional equation. The new functional equations have both real and imaginar...
Uniform asymptotics for the full moment conjecture of the Riemann zeta function
full moment conjecture the Riemann zeta function $L$-functions Number Theory
2011/7/28
Abstract: Conrey, Farmer, Keating, Rubinstein, and Snaith recently conjectured formulas for the full asymptotics of the moments of $L$-functions. In the case of the Riemann zeta function, their conjec...
Vacuum stability, string density of states and the Riemann zeta function
Vacuum stability string density of states Riemann zeta function
2011/3/3
We study the distribution of graded degrees of freedom in classically stable oriented closed string vacua and use the Rankin-Selberg transform to link it to the nite one-loop vacuum energy.
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.
On the Gram's Law in the Theory of Riemann Zeta Function
the Gram's Law in the Theory Riemann Zeta Function
2010/11/23
Some statements concerning the distribution of imaginary parts of zeros of the Riemann zeta\,-function are established. These assertions are connected with so\,-called `Gram's law' or `Gram's rule'. I...
Analysis of Riemann Zeta Function Zeros using Pochhammer Polynomial Expansions
Riemann Zeta function Riemann Hypothesis Entire functions Real zeros
2010/12/7
The Riemann Zeta function ζ(s) can be expressed in terms of the entire function ξ(s)which has an integral representation characteristic of a general class of entire functions symmetric
around s = &fr...
A generalisation of an expansion for the Riemann zeta function involving incomplete gamma functions
Zeta function Incomplete gamma functions
2010/9/17
We derive an expansion for the Riemann zeta function ζ(s) involving incomplete gamma functions with their second argument proportional to n2p, where n is the summation index and p is a positive intege...
The Riemann Zeta Function Applied on Glassy Systems and Neural Networks
Glassy systems Zeta function neural network topology
2010/4/12
Glassy systems and Neural networks share a simple model of study: the model of a set of N non interacting harmonic oscillators with energy. In this paper the author tries to describe these complex sys...
On an Application of the Hardy Classes to the Riemann Zeta-Function
Riemann zeta-function Hardy class Poisson representation
2010/3/1
We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.