Evidence for a Critical Behavior in 4D4D Pure Compact QED

We present evidence about a critical behavior of $4D$ compact QED (CQED) pure gauge theory. Regularizing the theory on lattices homotopic to a sphere, we present evidence for a critical, i.e. second order like behavior at the deconfinement phase transition for certain values of the coupling parameter $\gamma$.Comment: 3 pages, 3 figures, POSTSCRIPT file (127KB uuencoded

Galois Identities of the three term recurrence

We study the existence of the identity L_n^2 -5F_n^2 = 4(-1)^n

Generalised Binomial coefficients and Jarden's Theorem

We prove a stronger version of Jarden's Theorem for recurrence of powers of recursive functionsComment: A section (section 3) concerning the application of Jarden's Theorem is include