Pinaki Das, Algebraic Gamma Monomials and Double Coverings of Cyclotomic Fields, Transactions of the American Mathematical Society, Vol. 352, No. 8 (Aug., 2000), pp. 3557-3594 ...

It is a conjecture due to M. E. Rossi that the Hilbert function of a one-dimensional Gorenstein local ring is non-decreasing. In this article, we show that the Hilbert function is non-decreasing for ...