Some calculations of the Riemann zeta-function
ثبت نشده
چکیده
“Fuzzy” models and 802.11 mesh networks have garnered improbable interest from both computational biologists and experts in the last several years. Given the current status of real-time epistemologies, futurists daringly desire the construction of DHCP, which embodies the practical principles of networking. In order to accomplish this ambition, we introduce new concurrent methodologies (Krang), which we use to validate that the famous event-driven algorithm for the simulation of DNS by H. Wang et al. runs in Ω(log(n+ n)) time.
منابع مشابه
A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the rever...
متن کاملMultiple finite Riemann zeta functions
Observing a multiple version of the divisor function we introduce a new zeta function which we call a multiple finite Riemann zeta function. We utilize some q-series identity for proving the zeta function has an Euler product and then, describe the location of zeros. We study further multi-variable and multi-parameter versions of the multiple finite Riemann zeta functions and their infinite cou...
متن کاملRandom Matrix Theory Predictions for the Asymptotics of the Moments of the Riemann Zeta Function and Numerical Tests of the Predictions
In 1972, H.L. Montgomery and F. Dyson uncovered a surprising connection between the Theory of the Riemann Zeta function and Random Matrix Theory. For the next few decades, the major developments in the area were the numerical calculations of Odlyzko and conjectures for the moments of the Riemann Zeta function (and other L-functions) found by Conrey, Ghosh, Gonek, Heath-Brown, Hejhal and Sarnak....
متن کاملLagrangians with Riemann Zeta Function
We consider construction of some Lagrangians which contain the Riemann zeta function. The starting point in their construction is p-adic string theory. These Lagrangians describe some nonlocal and nonpolynomial scalar field models, where nonlocality is controlled by the operator valued Riemann zeta function. The main motivation for this research is intention to find an effective Lagrangian for ...
متن کاملOn some historical aspects of Riemann zeta function , 1
Within the variegated framework of Riemann zeta function and related conjecture (Riemann Hypothesis), we would like to start with a study of some quite disregarded or not much in-deep studied historical aspects concerning Entire Function Theory aspects of Riemann zeta function. This first paper essentially would be the manifesto of such a historical research program whose main points will be in...
متن کاملOn the Theory of Zeta-functions and L-functions
In this thesis we provide a body of knowledge that concerns Riemann zeta-function and its generalizations in a cohesive manner. In particular, we have studied and mentioned some recent results regarding Hurwitz and Lerch functions, as well as Dirichlet’s L-function. We have also investigated some fundamental concepts related to these functions and their universality properties. In addition, we ...
متن کامل