First, let us look back over the case of χ = χ the trivial character. For k = 1, Bk,χ0 is the kth Bernoulli number Bk, and B1,χ0 = B1 + 1 = 1/2. A pair of integers (p, k) is said to be an irregular… (More)

Under Greenberg’s conjecture, we give an efficient method to compute the p-part of the ideal class group of certain real abelian fields by using cyclotomic units, Gauss sums and prime numbers. As… (More)