A note on the mean value of the zeta and L - functions . XV
نویسنده
چکیده
The aim of the present note is to develop a unified theory of mean values of automorphic L-functions, albeit what we render here is less explicit and practical than we have desired. This is an outcome of the investigation commenced with the parts XII and XIV, where a framework was laid on the basis of the theory of automorphic representations, and a general approach to the mean values was envisaged. We restrict ourselves to the situation offered by the full modular group, solely for the sake of simplicity. Details and extensions are to be published elsewhere.
منابع مشابه
Two-fluid Electrokinetic Flow in a Circular Microchannel (RESEARCH NOTE)
The two-fluid flow is produced by the combined effects of electroosmotic force in a conducting liquid and pressure gradient force in a non-conducting liquid. The Poisson-Boltzmann and Navier-Stokes equations are solved analytically; and the effects of governing parameters are examined. Poiseuille number increases with increasing the parameters involved. In the absence of pressure gradient, the ...
متن کاملExperimental and Numerical Flow Investigation of Intake Manifold and Multi Criteria Decision Making on 3-cylinder SI Engine using Technique for Order of Preference by Similarity to Ideal Solution (RESEARCH NOTE)
In this paper, technique for order of preference by similarity to ideal solution(TOPSIS) method is used to find the best compromising design of intake manifold for a 3-cylinder engine considering mean value of torque, torque at 3500 rpm, mean value of brake mean specific consumption (BSFC) and BSFC at 3500 rpmas four objective functions. To calculate the objective functions, engine simulation i...
متن کاملA note on the problem when FS-domains coincide with RB-domains
In this paper, we introduce the notion of super finitely separating functions which gives a characterization of RB-domains. Then we prove that FS-domains and RB-domains are equivalent in some special cases by the following three claims: a dcpo is an RB-domain if and only if there exists an approximate identity for it consisting of super finitely separating functions; a consistent join-semilatti...
متن کاملGeometric Studies on Inequalities of Harmonic Functions in a Complex Field Based on ξ-Generalized Hurwitz-Lerch Zeta Function
Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in the open unit disc through the use of the extended generalized Noor-type integral operator associated with the ξ-generalized Hurwitz-Lerch Zeta function (GHLZF). Furthermore, some geometric properties of this subclass are also studied.
متن کاملMaximum Allowable Load On Wheeled Mobile Manipulators (RESEARCH NOTE)
This paper develops a computational technique for finding the maximum allowable load of mobile manipulators for a given trajectory. The maximum allowable loads which can be achieved by a mobile manipulator during a given trajectory are limited by the number of factors; probably the dynamic properties of mobile base and mounted manipulator, their actuator limitations and additional constraints a...
متن کامل