top
Let p be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which p splits and for which the Iwasawa λ-invariant of the cyclotomic ℤₚ-extension is equal to 1.
Akiko Ito. "On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1." Acta Arithmetica 168.4 (2015): 301-339. <http://eudml.org/doc/279794>.
@article{AkikoIto2015, abstract = {Let p be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which p splits and for which the Iwasawa λ-invariant of the cyclotomic ℤₚ-extension is equal to 1.}, author = {Akiko Ito}, journal = {Acta Arithmetica}, keywords = {imaginary quadratic field; Iwasawa $\lambda $-invariant}, language = {eng}, number = {4}, pages = {301-339}, title = {On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1}, url = {http://eudml.org/doc/279794}, volume = {168}, year = {2015}, }
TY - JOUR AU - Akiko Ito TI - On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1 JO - Acta Arithmetica PY - 2015 VL - 168 IS - 4 SP - 301 EP - 339 AB - Let p be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which p splits and for which the Iwasawa λ-invariant of the cyclotomic ℤₚ-extension is equal to 1. LA - eng KW - imaginary quadratic field; Iwasawa $\lambda $-invariant UR - http://eudml.org/doc/279794 ER -