Under the stated conditions on p and q, the Iwasawa λ-invariant of the cyclotomic ℤ₂-extension of K = ℚ(√(pq)) is zero.
Greenberg, On the Iwasawa invariants of totally real number fields, Amer
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.NT 2verdicts
UNVERDICTED 2representative citing papers
In Z_p-extensions of totally p-adic imaginary quadratic fields, the p-valuation of a Fermat quotient of the fundamental p-unit governs the orders of logarithmic class groups and the quotients of the first two layers of p-class group filtrations for large n.
citing papers explorer
-
On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of a family of real quadratic fields in which $2$ splits
Under the stated conditions on p and q, the Iwasawa λ-invariant of the cyclotomic ℤ₂-extension of K = ℚ(√(pq)) is zero.
-
On the $\mathbb{Z}_p$-extensions of a totally $p$-adic imaginary quadratic field -- With an appendix by Jean-Fran\c{c}ois Jaulent
In Z_p-extensions of totally p-adic imaginary quadratic fields, the p-valuation of a Fermat quotient of the fundamental p-unit governs the orders of logarithmic class groups and the quotients of the first two layers of p-class group filtrations for large n.