We exhibit explicitly the continued fraction expansion of some algebraic power series over a finite field. also discuss Diophantine equations on ring polynomials, which are intimately related to these series.

A number of results are proved concerning the Quillen ^-theory K+(S*G) of the skew group ring S*G, where S is a Noetherian ring and G is a finite group of automorphisms of 5. Applications are given to the computation of AT-groups of group algebras and of equivariant /^-theory for affine varieties.

Motivated by recent works on the genus of classifying spaces of compact Lie groups, here we study the set of filtered λ-ring structures over a filtered ring from a purely algebraic point of view. From a global perspective, we first show that this set has a canonical topology compatible with the filtration on the given filtered ring. For power series rings R[[x]], where R is between Z and Q, wit...

We describe a high performance clocking methodology for domino pipelines. Our technique maximizes the clock rate of the circular pipeline (“ring”) while maintaining the ring cycle time to be the worst-case combinational logic delay around the ring. It is relatively immune to global clock skew, incurs no latch overhead, allows up to 50% time borrowing, and offers a robust way of preventing race-...

In this paper, the S&P 500 stock index is studied for its time varying volatility and stylized facts. The ARMA mean equation with asymmetric power ARCH errors is used to model the series correlations and the conditional heteroscadesticity in the asset returns. The conditional distributions of the standardized residuals are assumed to be the normal distribution, the t distribution or the skew-t ...

String theorists (notably Witten [W]) recently introduced the notion of a “quantum” deformation of the cohomology ring of a smooth projective variety X. This quantum deformation, or quantum cohomology ring, as it is often called, is an algebra over a formal-power-series ring which specializes to the ordinary cohomology ring, and which is defined in terms of intersection data (the Gromov-Witten ...

The convergence sets of a multidimensional complete field are those having the property that all power series over it converge when substituting an element maximal ideal for variable. It is proved set lies in ring integers if and only contained some ring.

For a Jordan domain with sufficiently smooth boundaries, the solution to Dirichlet problem for second-order skew-symmetric strongly elliptic system constant coefficients and regular enough boundary data is constructed in form of power series small parameter describing perturbation given from Laplace one. The this are functions that determined sequentially as solutions special problems usual Poi...