Tag Archives: Iwaniec

In Brief

The start of the academic year has a habit of bringing forth distractions, not least of all to someone as disorganized as me. So here are a few remarks in brief. The class number of \mathbf{Q}(\zeta_{151})^{+} is one. John Miller, … Continue reading

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The Abelian House is not closed

Today I will talk about \displaystyle{\frac{97 + 26 \sqrt{13}}{27} = 7.064604\ldots} For an algebraic integer \alpha, the house \overline{|\alpha|} is the absolute value of the largest conjugate of \alpha. Kronecker proved the following: If \overline{|\alpha|} \le 1, then either \(\alpha … Continue reading

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