Quillen [7] defines an algebraic A -̂functor from the category of associative rings to that of positively graded abelian groups, with Kf(R) = ÏI^BGLR ") for i > 1. Kx and K2 correspond respectively to the 'classical' Bass and Milnor definitions. The /^-images of finite fields and their algebraic closures were computed by Quillen in [8]. Since then, there has been only a handful of complete calcu...

The standard approach to applying ray theory solving Maxwell’s equations in the large wave-number limit involves seeking solutions that have ( i ) an oscillatory exponential with a phase term is linear and ii has amplitude profile expressed terms of inverse powers wave-number. Friedlander–Keller modification includes additional power this wave structure, crucial when analysing certain phenomena...

With Fq a finite field of characteristic p, let F(q) be the category whose objects are functors from finite dimensional Fq–vector spaces to F̄p– vector spaces. Extension groups in F(q) can be interpreted as MacLane (or Topological Hochschild) cohomology with twisted coefficients. Furthermore, evaluation on an m dimensional vector space Vm induces a homorphism from Ext F(q) (F, G) to finite group...

A four-step route for the synthesis of 5-azatetracene (benzo[b]acridine) has been developed, employing a base-catalysed Friedlander condensation reaction between 3-amino-2-napthaldehyde and cyclohexanone as key step followed by dehydrogenation intermediate. The optical electrochemical properties were investigated UV-vis photoluminescence spectroscopy, cyclic voltammetry compared with those tetr...

This dissertation contributes to the analytic theory of automorphic L-functions. We prove an approximate functional equation for the central value of the L-series attached to an irreducible cuspidal automorphic representation π of GLm over a number field. The approximation involves a smooth truncation of the Dirichlet series L(s, π) and L(s, π̃) after about √ C terms, where C denotes the analyti...