Class numbers of cyclic 2-extensions and Gross conjecture over \(\mathbb Q\)

DOI10.1007/s11425-010-4070-zzbMath1248.11088OpenAlexW1985139712WikidataQ123199962 ScholiaQ123199962MaRDI QIDQ625856

Yi Ouyang, Hang Xue

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4070-z

zbMATH Keywords

class numberStickelberger idealGross conjecturecyclic 2-extensioncyclotomic number fieldsnarrow class group

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Gross conjecture over rational function fields
• On a conjecture of Gross on special values of L-functions
• On the Stickelberger ideal and the circular units of an abelian field
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• On Tate's refinement for a conjecture of Gross and its generalization
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields