Kummer’s Criterion
1
Class numbers of the cyclotomic CM field
▶
1
The real subfield and the class numbers
2
Descent of principal ideals
3
The relative class number
2
The minus class-number criterion
▼
1
Characters and Bernoulli factors
2
The relative class-number formula
3
From \(h^-\) to Bernoulli numerators
3
Cyclotomic units and Kummer logarithms
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1
The real cyclotomic-unit subgroup
2
Exact \(p\)-saturation
3
The Kummer logarithm matrix
4
The prime-conductor index theorem
4
Final assembly
▶
1
The implication from \(h^+\) to \(h^-\)
2
The total class-number criterion
3
Kummer’s criterion
Dependency graph
2 The minus class-number criterion
1
Characters and Bernoulli factors
2
The relative class-number formula
3
From \(h^-\) to Bernoulli numerators