Class Number Parity of a Compositum of Five Quadratic Fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F02%3A00006776" target="_blank" >RIV/00216224:14310/02:00006776 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Class Number Parity of a Compositum of Five Quadratic Fields
Original language description
In this paper we show that the class number of the field $Q(sqrt p,sqrt q,sqrt r,sqrt s,sqrt t)$ is even for $p,q,r,s,t$ being different primes either equal to 2 or congruent to 1 modulo 4. This result is based on our previous results about the parity of the class number in the case of the field $Q{sqrt p,sqrt q,sqrt r}$.
Czech name
Class Number Parity of a Compositum of Five Quadratic Fields
Czech description
In this paper we show that the class number of the field $Q(sqrt p,sqrt q,sqrt r,sqrt s,sqrt t)$ is even for $p,q,r,s,t$ being different primes either equal to 2 or congruent to 1 modulo 4. This result is based on our previous results about the parity of the class number in the case of the field $Q{sqrt p,sqrt q,sqrt r}$.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F01%2F0471" target="_blank" >GA201/01/0471: Algebraic, analytic and combinatorial methods of number theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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