On class numbers inside the real \(p\)th cyclotomic field
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Publication:6490247
DOI10.2996/KMJ47102MaRDI QIDQ6490247
Publication date: 23 April 2024
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18)
Cites Work
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- Mahler measure and Weber's class number problem in the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q\) for odd prime number \(p\)
- Class number of real abelian fields
- Class fields of abelian extensions of \(\mathbb Q\)
- Class groups of abelian fields, and the main conjecture
- The ideal class group of the basic \(\mathbb Z_p\)-extension over an imaginary quadratic field
- On the Stickelberger ideal and the circular units of an abelian field
- Ideal class groups in basic \(\mathbb Z_{p_1}\times\dots\times\mathbb Z_{p_s}\)-extensions of abelian number fields
- On 2-adic L-functions and cyclotomic invariants
- Computing the number of totally positive circular units which are squares
- On the structure of certain Galois groups
- Unités cyclotomiques, unités semilocales et \(\mathbb{Z}_\ell\)-extensions. II
- The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
- On divisibility of class number of real abelian fields of prime conductor
- An application of the \(p\)-adic class number formula
- Triviality of Iwasawa module associated to some abelian fields of prime conductors
- On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
- Relative class numbers inside the \(p\)th cyclotomic field
- Triviality in ideal class groups of Iwasawa-theoretical abelian number fields
- Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field
- Class group of a cyclotomic Zp×Zl-extension
- On the Iwasawa Invariants of Totally Real Number Fields
- Class Number Parity for the pth Cyclotomic Field
- Indivisibility of the class number of a real abelian field of prime conductor
- On the class number of a real abelian field of prime conductor
- A primality test for 𝐾𝑝ⁿ+1 numbers
- Some Prime Numbers of the Forms 2A3 n + 1 and 2A3 n - 1
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