Article ID Journal Published Year Pages File Type
6415749 Journal of Number Theory 2010 10 Pages PDF
Abstract

We obtain lower bound of caliber number of real quadratic field K=Q(d) using splitting primes in K. We find all real quadratic fields of caliber number 1 and find all real quadratic fields of caliber number 2 if d is not 5 modulo 8. In both cases, we don't rely on the assumption on ζK(1/2).

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Caliber number of real quadratic fields
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