BULANT, Michal. On the Parity of the Class Number of the Field $Q(\sqrt p,\sqrt q,\sqrt r)$. Acta Math. et Informatica Univ. Ostraviensis, Ostrava (CZ), 1998, vol. 1998, No 6, p. 41-52. ISSN 1211-4774. Other formats:   BibTeX LaTeX RIS
Basic information
Original name On the Parity of the Class Number of the Field $Q(\sqrt p,\sqrt q,\sqrt r)$
Authors BULANT, Michal (203 Czech Republic, guarantor).
Edition Acta Math. et Informatica Univ. Ostraviensis, Ostrava (CZ), 1998, 1211-4774.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/98:00028876
Organization unit Faculty of Science
Keywords in English class number; cyclotomic unit; crossed homomorphism
Tags class number, crossed homomorphism, cyclotomic unit
Tags International impact, Reviewed
Changed by Changed by: Mgr. Michal Bulant, Ph.D., učo 2759. Changed: 11/6/2008 15:54.
Abstract
This paper considers the parity of the class number of any field extension of the rationals by square roots of three disctinct primes p,q,r, where p=2, and q,r are congruent to 1 mod 4.