Article: The stability of electron orbital shells based on a model of the Riemann-zeta function.(Report)

Article: Recursion formulae for Riemann Zeta function and ...
Scientia Magna;  September 1, 2006 ;     700+ words ... ... Keywords Riemann zeta, function, Dirchlet series ... that the Riemann Zeta function defined by [zeta ... 1)] 1/[n.sup.s], R(s ... for the Riemann Zeta function and Dirchlet series ... 2n - 1).sup.s] and sigma ...

Article: Exploring the q-Riemann zeta function and ...
Discrete Dynamics in Nature and Society;  January 1, 2005 ;     700+ words ... ... Following the idea of q-zeta function due to Kim, we are going ... formula for the q-Riemann zeta function due to Kim (cf. [4 ... continuation for q-zeta function due to Kim. 2. Generating ... over (l=0)] [q.sup.l(h+1)+x ...

Article: The Riemann Zeta function and the sampling ...
Sampling Theory in Signal and Image Processing;  January 1, 2009 ;     700+ words ... ... functional equation for the Riemann zeta function is shown to be equivalent ... words and phrases: Riemann Zeta function, Sampling theorem, equivalent ... For [sigma] > 1 the zeta function of Riemann is defined by ... summation over (n=1)] [n.sup.-s]. Except for a pole ...

Dictionary definition: zeta function
The Concise Oxford Dictionary of Mathematics;      294 words ...zeta function The function defined on the complex variables s . The sum is convergent, and gives an analytic function ... While the exact distribution of primes is unknown, Riemann observed that it approximates to the zeta function.

Article: Some arithmetical properties of primitive numbers of power ...
Scientia Magna;  January 1, 2006 ;     700+ words ... ... relationship between the Riemann zeta-function and an infinite series ... n=1)] 1/[S.sup.s.sub.p](n) = [zeta](s)/[p.sup.s] -1, where [zeta](s) is the Riemann zeta-function. Specially, taking ...

Article: Two-loop effects and current status of the ...
Canadian Journal of Physics;  May 1, 2007 ;     700+ words ... ... value of the Lamb shift in [sup.4][He.sup ... 4 - 1/n + 1/4 [n.sup.2] + [gamma] - ln ... s) = [[summation].sup.[infinity].sub.n=1] n-s is the Riemann zeta function. For P states, we have ...

Article: On square-free primitive roots mod [p.sup.1].
Scientia Magna;  June 1, 2006 ;     700+ words ... ... delta](x) = [(log x).sup.3/5][(log log x).sup.-1/5]. At present we ... of the zeros of the Riemann Zeta-function. Many authors studied the distribution ... Q(x) = 6/[[pi].sup.2]] y(1 + o(1 ...