1. The moment expansion 2. Spectral expansion: reduction to GL2 3. Spectral expansion for GL2 4. Continuation and holomorphy at s′ = 0 for GL2 5. Spectral expansion for GLr 6. Continuation and holomorphy at s′ = 0 for GLr 7. Appendix: half-degenerate Eisenstein series 8. Appendix: Eisenstein series for GL2 9. Appendix: residues of degenerate Eisenstein series for Pn−1,1 10. Appendix: degenerate...

This paper develops an analytic theory of Dirichlet series in several complex variables which possess sufficiently many functional equations. In the first two sections it is shown how straightforward conjectures about the meromorphic continuation and polar divisors of certain such series imply, as a consequence, precise asymptotics (previously conjectured via random matrix theory) for moments o...

We compute the first two moments 〈(sH − mD 2)1,2〉 of the final hadronic invariant mass in the inclusive decay B → Xc l ν̄, in the presence of a cut E min l on the charged lepton energy. These moments may be measured directly by experiments at the Υ(4S) using the neutrino reconstruction technique, which requires such a cut. Measurement of these moments will place constraints on the nonperturbativ...

The deviations Scm (“intermittency corrections”) from classical (“K41”) scaling c,==m/3 of the mth moments ( 1 u(p) I”) in high Reynolds number turbulence are calculated, extending a method to approximately solve the Navier-Stokes equation described earlier. It is suggested to introduce the notion of scale resolved intermittency corrections Sk,(p), because these &L&(p) are found to be large in ...

We compute the critical L-values of some weight 3, 4, or 5 modular forms, by transforming them into integrals of the complete elliptic integral K. In doing so, we prove closed form formulas for some moments of K ′3. Many of our L-values can be expressed in terms of Gamma functions, and this also gives new lattice sum evaluations.

In communications theory, Nakagami distribution (NKD) is used to model scattered signals that reach a receiver from different paths. In order to use NKD to model a given set of data, we will have to estimate its parameters from the given data. Method of L-Moments (MLM) is being compared with Method of Moments (MOM) for estimating the parameters of NKD. In this study, we have derived its first t...

Sample to sample fluctuations ofthe multifractal moments of percolating randomresistor networks are studied via Monte Carlo simulations. For systems of sire L, these fluctuations depend on ~hp, the deviation from the critical concentration, only through the scaled variable ~hpL~'~. At ~hp = 0, these fluctuations depend on h, the ratio of the good and bad conductances, only through hL*. This is ...

We analyze the magnetic moments of the exotic pentaquarks of the flavor antidecuplet in the constituent quark model for the case in which the ground state is in an orbital L = 0 or a L = 1− state. We derive sum rules for the magnetic moments. The magnetic moment of the Θ(1540) is found to be 0.38, 0.09 and 1.05 μN for J p = 1/2−, 1/2 and 3/2, respectively, which is compared with the results obt...

We show how classical Markov processes can be obtained from quantum L evy processes. It is shown that quantum L evy processes are quantum Markov processes, and suucient conditions for restrictions to subalgebras to remain quantum Markov processes are given. A classical Markov process (which has the same time-ordered moments as the quantum process in the vacuum state) exists whenever we can rest...