On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields

Jonathan W. Sands

Acta Arithmetica (1993)

  • Volume: 65, Issue: 3, page 243-248
  • ISSN: 0065-1036

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Jonathan W. Sands. "On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields." Acta Arithmetica 65.3 (1993): 243-248. <http://eudml.org/doc/206577>.

@article{JonathanW1993,
author = {Jonathan W. Sands},
journal = {Acta Arithmetica},
keywords = {construction; imaginary quadratic fields; Iwasawa invariant; discriminant},
language = {eng},
number = {3},
pages = {243-248},
title = {On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields},
url = {http://eudml.org/doc/206577},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Jonathan W. Sands
TI - On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields
JO - Acta Arithmetica
PY - 1993
VL - 65
IS - 3
SP - 243
EP - 248
LA - eng
KW - construction; imaginary quadratic fields; Iwasawa invariant; discriminant
UR - http://eudml.org/doc/206577
ER -

References

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  1. [1] D. S. Dummit, D. Ford, H. Kisilevsky and J. W. Sands, Computation of Iwasawa lambda invariants for imaginary quadratic fields, J. Number Theory 37 (1991), 100-121. Zbl0722.11052
  2. [2] L. J. Federer and B. H. Gross (Appendix by W. Sinnott), Regulators and Iwasawa modules, Invent. Math. 62 (1981), 443-457. Zbl0468.12005
  3. [3] B. Ferrero and L. Washington, The Iwasawa invariant μₚ vanishes for abelian number fields, Ann. of Math. 109 (1979), 377-395. Zbl0443.12001
  4. [4] R. Gold, The nontriviality of certain ℤ l -extensions, J. Number Theory 6 (1974), 269-273. 
  5. [5] K. Horie, A note on basic Iwasawa λ-invariants of imaginary quadratic fields, Invent. Math. 88 (1987), 31-38. 
  6. [6] N. Jochnowitz, A p-adic conjecture about derivatives of L-series attached to modular forms, to appear. 
  7. [7] Y. Yamamoto, On unramified Galois extensions of quadratic number fields, Osaka J. Math. 7 (1970), 57-76. Zbl0222.12003

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