Cohen–Lenstra–Martinet–Malle conjecture for even-degree class groups
Cohen–Lenstra–Martinet–Malle conjecture for even-degree class groups
Let be a nowhere-evenly-ramified number field of even degree with real signature . Enumerate such fields by discriminant. Cohen–Lenstra–Martinet–Malle conjecture. The average value of the size of the -torsion subgroup of the class group is
This prediction concerns the exceptional even-degree setting of nowhere-evenly-ramified fields and is part of the Cohen–Lenstra–Martinet–Malle heuristic framework. The supplied text does not provide evidence that the prediction has been proved or disproved.
Sources & referencesView supporting material
Primary source
Ashvin Swaminathan, “A new parametrization for ideal classes in rings defined by binary forms, and applications”, arXiv:2011.13578 (2024).
Additional references
2 papers in this index state this conjecture (2016–2020). The statement above is taken from the most recent of them; the others are arXiv:1603.06269.
Progress summary
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