Tag Archives: Cassels

Roots of Unity

This post is a follow-up on a previous post on the abelian house. For an algebraic integer \(\alpha\), the house \(\overline{|\alpha|}\) is the absolute value of the largest conjugate of \(\alpha.\) Raphael Robinson made a number of conjectures concerning cyclotomic … Continue reading →

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Small Cyclotomic Integers

Julia Robinson is a famous mathematician responsible for fundamental work in logic and in particular on Hilbert’s Tenth problem. Less well known nowadays is that her husband, Raphael Robinson, was a number theorist at Berkeley. One question R.Robinson asked concerned … Continue reading →

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