Mixed moment of GL(2) and GL(3)L‐functions

On moment sequences and mixed Poisson distributions

In this article we survey properties of mixed Poisson distributions and probabilistic aspects of the Stirling transform: given a non-negative random variable X with moment sequence (μs)s∈N we determine a discrete random variable Y , whose moment sequence is given by the Stirling transform of the sequence (μs)s∈N, and identify the distribution as a mixed Poisson distribution. We discuss properti...

Bounding non-GL2 and R.E.A

We prove that every degree a bounding some non-GL2 degree is recursively enumerable in and above (r.e.a.) some 1-generic de-

Deformations of GQp and GL2(Qp) Representations

IRREDUCIBLE REPRESENTATIONS OF GL2(Fq)

The group G = GL2(Fq) is not only the slightly overweight cousin of GL2(C) (it is a “Flabby” S2) but also a tremendously interesting finite group. It is both the automorphism group of the vector space of dimension 2 over the field Fq and a finite group of order q(q − 1)(q − 1), so naturally, representation theorists would like very much to understand its representations. We follow the expositio...

Mixed Control Moment Gyro and Momentum Wheel Strategies

Mixed Control Moment Gyro and Momentum Wheel Attitude Control Strategies C. Eugene Skelton II Attitude control laws that use control moment gyros (CMGs) and momentum wheels are derived with nonlinear techniques. The control laws command the CMGs to provide rapid angular acceleration and the momentum wheels to reject tracking and initial condition errors. Numerical simulations of derived control...