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The simplest quartic fields with ideal class groups of exponents less than or equal to 2

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Publication:1885098
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DOI10.2969/jmsj/1191334082zbMath1142.11365OpenAlexW2082167378MaRDI QIDQ1885098

Stéphane R. Louboutin

Publication date: 28 October 2004

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191334082



Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)


Related Items (4)

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes ⋮ Elliptic curves associated with simplest quartic fields ⋮ Efficient computation of root numbers and class numbers of parametrized families of real abelian number fields ⋮ Index, the prime ideal factorization in simplest quartic fields and counting their discriminants







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