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
▶
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
4 Final assembly
1
The implication from \(h^+\) to \(h^-\)
2
The total class-number criterion
3
Kummer’s criterion