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Rings of automorphic forms which are not Cohen-Macaulay, II

Rings of automorphic forms which are not Cohen-Macaulay, II

In [2], [3], Eichler posed the question whether or not a ring of automorphic forms (particularly, Hilbert and Siegel modular forms) is Cohen-Macaulay (C.-M.for short).Freitag [4] first gave the negative answer to the question in the case of a ring of Hilbert modular forms of dimension $\geqq 3$ .In our …