Title

A Lower Bound for the Class Number of a Real Quadratic Field of ERD-Type

Abstract

In this paper, we use the Lagrange neighbour and our equivalence theorem for primitive ideals to obtain lower bounds which are sharper than those given in the literature for class numbers of real quadratic fields in general, but applied to greatest advantage when d is of ERD type.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.4153/cmb-1994-014-8

Keywords

11R 11, 11R09, 11R29, class number, primitive ideal, divisor function, lagrange neighbour, ERD-type, quadratic fields

Publication Date

1994

Journal Title

Canadian Mathematical Bulletin

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