We propose a refined version of the existing conjectural asymptotic formula for moments family quadratic Dirichlet L-functions over rational function fields. Our prediction is motivated by two natural conjectures that provide sufficient information to determine analytic properties (meromorphic continuation, location poles, and residue at each pole) certain generating L-functions. The number fie...

Let q be an odd prime power, and Hq,d denote the set of square-free monic polynomials D(x)∈Fq[x] of degree d. Katz and Sarnak showed that the moments, over Hq,d, of the zeta functions associated to the curves y(2)=D(x), evaluated at the central point, tend, as q→∞, to the moments of characteristic polynomials, evaluated at the central point, of matrices in USp(2⌊(d-1)/2⌋). Using techniques that...

It has been known for a long time that the baryons cannot be point-like spin-l/2 particles like the electron and the muon. In the lowest mass baryon octet, containing p, n, ~+, ~0, ~ , A, ~0 and Z , the charged baryon magnetic moments differ considerably from their "natural" values, qBeh/2mB c, and, where they have been measured, the magnetic moments of the neutrals are of the same order of mag...