On the Parity of the Class Number of the Field $Q(\sqrt p,\sqrt q,\sqrt r)$

BULANT, Michal. On the Parity of the Class Number of the Field $Q(\sqrt p,\sqrt q,\sqrt r)$. Journal of Number Theory. Academic Press, 1998, vol. 68, No 1, p. 72-86. ISSN 0022-314X.

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: Journal of Number Theory, Academic Press, 1998, 0022-314X.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• Impact factor: Impact factor: 0.332
• RIV identification code: RIV/00216224:14310/98:00028875
• Organization unit: Faculty of Science
• UT WoS: 000071873000007
• Keywords in English: class number; cyclotomic unit; crossed homomorphism
• Tags: class number, crossed homomorphism, cyclotomic unit
• Tags: International impact, Reviewed

Abstract

In this paper compute the parity of the class number of the field Q(\sqrt p, \sqrt q, \sqrt r), where p, q and r are different primes, all congruent to 1 modulo 4.

Links

• GA201/97/0433, research and development project: Name: Algebraické a analytické metody v teorii čísel

Investor: Czech Science Foundation, Algebraic and analytic methods in number theory