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Heuristics for class numbers of prime-power real cyclotomic fields

Heuristics for class numbers of prime-power real cyclotomic fields

Let h + ( n ) denote the class number of the maximal totally real subfield Q(cos(2π/ n )) of the field of n -th roots of unity.The goal of this paper is to show that (speculative extensions of) the Cohen-Lenstra heuristics on class groups provide support for the following …