Limit distribution of class numbers for discriminants in progressions and fundamental discriminants

作者：Raulf Nicole^*

来源：International Journal of Number Theory, 2016, 12(5): 1237-1258.

DOI：10.1142/S1793042116500767

• Class number
• class number formula

In this paper, we determine the asymptotic behavior of moments of class numbers for discriminants in a given arithmetic progression and for fundamental discriminants in the case that the class numbers are ordered by the size of the regulator. Furthermore, we give the limit distribution of class numbers in these cases.

• 出版日期2016-8