Class numbers, class groups, discriminants
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Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.
Martinet's constant for totally real number fields: determine C 87 or improve its bounds; the repository records 60.8395 (lower) and 857.567 (upper).
A Prescribed Class-Group Structure for an Imaginary Quadratic Field. Solid result problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.
Class Group Algorithms. Solid result problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.
Large ell -Rank in Class Groups of Imaginary Quadratic Fields. Moderately interesting problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.
These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.
Mathematical Sciences Publishers
Algebra, number theory and their connections
European Mathematical Society / EMS Press
Mathematical surveys
2019 · 3 questions extracted
MSC2020 © Mathematical Reviews (AMS) and zbMATH · CC BY-NC-SA 4.0 · Official PDF, page 25