An analogue for composite moduli m ≥ 2 of the Wilson quotient is studied. Various congruences are derived, and the question of when these quotients are divisible by m is investigated; such an m will be called a “Wilson number”. It is shown that numbers in certain infinite classes cannot be Wilson numbers. Eight new Wilson numbers up to 500 million were found.

Quantifying relative affinities of Po and Pb in different populations of marine particulate matter is of great importance in utilizing Po as a tracer for carbon cycling. We collected and analyzed water samples for the concentrations of dissolved and total Po and Pb from the upper 600 m of the water column at Bermuda Timeseries Study site (September 1999 to September 2000) to investigate their s...

A feasibility study of a 500-GeV linear collider is presented for mSUGRA models in co-annihilation region. We find an active mask is critical to suppress e + e − → e + e − τ + τ − events to probe the models. The grand unification of the three gauge coupling constants arise naturally in minimal SUGRA (mSUGRA) models with universal soft breaking parameters (m 1/2 , m 0 , A 0 , tan β, sign of µ). ...