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Asymptotics of class numbers for progressions and for fundamental discriminants.
- Source :
-
Forum Mathematicum . 2009, Vol. 21 Issue 2, p221-257. 37p. - Publication Year :
- 2009
-
Abstract
- The aim of this paper is to prove the asymptotic behaviour of class numbers h( d) in the case that the class numbers are ordered by the size of the fundamental solution of Pell's equation t2– du2 = 4 and the considered discriminants d belong to an arithmetic progression. As an application of this result we prove a result for the asymptotic behaviour of class numbers for fundamental discriminants. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PELL'S equation
*ARITHMETIC
*NUMBER theory
*MATHEMATICS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 21
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 36885752
- Full Text :
- https://doi.org/10.1515/FORUM.2009.012