Annihilators of the ideal class group of an imaginary cyclic field
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114053" target="_blank" >RIV/00216224:14310/20:00114053 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022314X20300111" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022314X20300111</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jnt.2019.12.003" target="_blank" >10.1016/j.jnt.2019.12.003</a>
Alternative languages
Result language
angličtina
Original language name
Annihilators of the ideal class group of an imaginary cyclic field
Original language description
For certain infinite family of imaginary cyclic fields we can obtain annihilators of the ideal class group by factoring nontrivial roots of modified Gauss sums. In this paper we investigate whether and when these annihilators live outside the Stickelberger ideal.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-11473S" target="_blank" >GA18-11473S: The ideal class groups of abelian extensions of some number fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Number Theory
ISSN
0022-314X
e-ISSN
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Volume of the periodical
213
Issue of the periodical within the volume
August
Country of publishing house
US - UNITED STATES
Number of pages
34
Pages from-to
187-220
UT code for WoS article
000530034400007
EID of the result in the Scopus database
2-s2.0-85078243826