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.
Gillard, Fonctions L p -adiques des corps quadratiques imaginaires et de leurs extensions ab\'eliennes, J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.