A note on certain real quadratic fields with class number upto three

2018/12/06 by Chakraborty, Kalyan, Hoque, Azizul, Mishra, Mohit
#11R11 #11R29 #11R42 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1812.02488

Abstract

We obtain criteria for the class number of certain Richaud-Degert type real quadratic fields to be 3. We also treat a couple of families of real quadratic fields of Richaud-Degert type that were not considered earlier, and obtain similar criteria for the class number of such fields to be 2 and 3.

Related

• Class number of real quadratic fields of explicit discriminant
• Divisibility of class numbers of certain families of quadratic fields
• Upper bounds on class numbers of real quadratic fields
• Lower bound for class number of certain real quadratic fields
• A short note on the divisibility of class numbers of real quadratic fields