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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