The Fekete–Szegő theorem with splitting conditions: Part II

The Fekete – Szegő theorem with splitting conditions : Part

A classical theorem of Fekete and Szegő [4] says that if E is a compact set in the complex plane, stable under complex conjugation and having logarithmic capacity γ(E) ≥ 1, then every neighborhood of E contains infinitely many conjugate sets of algebraic integers. Raphael Robinson [5] refined this, showing that if E is contained in the real line, then every neighborhood of E contains infinitely...

The Fekete-szegö Theorem with Splitting Conditions, on Algebraic Curves

We prove the Fekete-Szegö Theorem with splitting conditions for adelic sets on a smooth, connected algebraic curve defined over a number field.

The Splitting Theorem for Orbifolds

Preparation of the Phencyclidine Analogues (Part II)

Using a-tetralone, as starting material, a series of phencyclidine analogues were synthesized. This ketone was reacted separately with ethylmagnesium bromide, P-methoxyphenylmagnesium bromide and P-methylphenylmagnesium bromide. The resultant alcohols were treated with a suspension of NaN3 and CCl3COOH in CHCl3. The azides were subsequently...

Adding a club with finite conditions, Part II

We define a forcing poset which adds a club subset of a given fat stationary set S ⊆ ω2 with finite conditions, using S-adequate sets of models as side conditions. This construction, together with the general amalgamation results concerning S-adequate sets on which it is based, is substantially shorter and simpler than our original version in [3]. The theory of adequate sets introduced in [2] p...