Irregular Primes and Cyclotomic Invariants

DOI10.2307/2005468zbMath0302.10020OpenAlexW4231277959WikidataQ55966819 ScholiaQ55966819MaRDI QIDQ4055720

Wells Johnson

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2005468

Mathematics Subject Classification ID

Iwasawa theory (11R23) Higher degree equations; Fermat's equation (11D41) Cyclotomic extensions (11R18) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

Algebraic number fields, Proof of the main conjecture of noncommutative Iwasawa theory for totally real number fields in certain cases, Wolstenholme and Vandiver primes, Unnamed Item, Irregular Primes and Cyclotomic Invariants to Four Million, Unnamed Item, \(p\)-adic proofs of congruences for the Bernoulli numbers, A search for Fibonacci-Wieferich and Wolstenholme primes, Structure of l ‐class groups of certain number fields and ℤ _l ‐extensions, Fine structure of class groups of cyclic p-groups, On the invariants of some \(\mathbb{Z}_\ell\)-extensions, First-hit analysis of algorithms for computing quadratic irregularity, Irregular primes to 163 million, Irregular primes to two billion

Cites Work

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• Distribution of irregulär primes
• Computation of invariants in the theory of cyclotomic fields
• On Bernoulli's numbers and Fermat's last theorem
• On Γ-extensions of algebraic number fields
• Irregular Prime Divisors of the Bernoulli Numbers
• Distribution of irregular prime numbers.
• On the Vanishing of the Iwasawa Invariant μ p for p < 8000
• On the µ-invariants of cyclotomic fields
• Class Numbers and μ-Invariants of Cyclotomic Fields
• AN APPLICATION OF HIGH-SPEED COMPUTING TO FERMAT'S LAST THEOREM
• EXAMINATION OF METHODS OF ATTACK ON THE SECOND CASE OF FERMAT'S LAST THEOREM
• PROOF OF FERMAT'S LAST THEOREM FOR ALL PRIME EXPONENTS LESS THAN 4002