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Iwasawa invariants and Kummer congruences

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Publication:1250132
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DOI10.1016/0022-314X(78)90021-5zbMath0388.12006MaRDI QIDQ1250132

Tauno Metsänkylä

Publication date: 1978

Published in: Journal of Number Theory (Search for Journal in Brave)



Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18) Zeta functions and (L)-functions (11S40) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


Related Items

Algebraic number fields, On some \(p\)-adic power series attached to the arithmetic of \(\mathbb Q(\zeta_p)\), On the behaviour of \(p\)-adic \(L\)-functions



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Class numbers and \(\mathbb Z_p\)-extensions
  • Iwasawa invariants of abelian number fields
  • The nontriviality of certain Z\(_l\)-extensions
  • Computation of invariants in the theory of cyclotomic fields
  • On \(p\)-adic \(L\)-functions
  • Irregular Prime Divisors of the Bernoulli Numbers
  • On the cyclotomic invariants of Iwasawa.
  • On the Iwasawa invariants of imaginary abelian fields
  • The Irregular Primes to 125000
  • Arithmetic Properties of Generalized Bernoulli Numbers.
  • ON SOME RELATIONS BETWEEN BERNOULLI NUMBERS AND CLASS NUMBERS OF CYCLOTOMIC FIELDS
  • EIN SATZ ZU DEN RELATIVKLASSENZAHLEN DER KREISKÖRPER
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