Estimates for spectral density functions of matrices over C[Z^d]
arXiv:1310.8564
Abstract
We give a polynomial bound on the spectral density function of a matrix over the complex group ring of Z^d. It yields an explicit lower bound on the Novikov-Shubin invariant associated to this matrix showing in particular that the Novikov-Shubin invariant is larger than zero.
11 pages, to appear in Annales Mathematiques Blaise Pascal, final version. We have taken out in the earlier version the algorithm for computing the Mahler measure since there are better ones in the literature