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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Evan M. O'Dorney, Carnegie Mellon University, Pittsburgh, Pennsylvania.
Chapters1. Introduction2. Global-to-local reduction3. Tame quartic rings with not totally split resolvent, by multijection4. $2 \times n \times n$ boxes5. Introduction to counting quartic rings6. The conic over $ \mathcal {O}_K $7. Boxgroups8. Ring volumes for $\xi ’_1$9. Ring volumes for $\xi ’_2$10. Further remarks on the codeA. Examples of zone totals