Hecke–Lerch Correspondence VII: Master Dataset of 33,824 Number Fields with Universal Archimedean Kernel Verification and Class Field Generation

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Authors: Christopher Cody Oakes
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Abstract

This dataset accompanies Paper VII of the Hecke–Lerch Correspondence series, which resolves the long-standing “Regulator Gap” problem in explicit analytic class field theory for number fields of degree n>2n>2. It contains verification results for 33,824 quadratic and cyclic cubic number fields, including:

Fields of Study & Subjects

Advanced Algebra and Geometry Analytic Number Theory Research Algebraic Geometry and Number Theory

Publication details

Journal / source
Figshare
Publication date
1 January 2026
Document type
Dataset