The use of music to bring physical and psychological healing is controversial. In this paper, I present research that explains the relationship between various types of ailments and music. In particular, supporting evidence from current professionals in both the psychological and medical fields explains the contrasts and similarities between the types of music therapy treatments. Music is analy...

hen I began thinking about writing, collecting, and commissioning essays about music criticism, I wondered whether I might feel like Charlie Brown in Merry Christmas, Charlie Brown! When he puts a single ornament on the lonesome, fragile Christmas tree he finds, it falls over. Charlie Brown throws his hands up in the air and says, “Augh! I’ve killed it!” I wondered if making rock criticism an a...

Fix a number field k with its adele ring A. Let G = O(n+3) be an orthogonal group of k-rank 1 and H = O(n + 2) a k-anisotropic subgroup. We have previously described how to factor the global period

In general, it is difficult to determine the dimension of the space of Siegel modular forms of low weights. In particular, the dimension of the space of cusp forms are known in only a few cases. In this paper, we calculate the dimension of the space of Siegel Eisenstein series of weight 1, which is a certain subspace of a complement of the space of cusp forms.

We construct analogues of theta series, Eisenstein series and Poincaré series for function fields of one variable over finite fields, and prove their basic properties.

We give a new presentation of the Drinfeld double E of the (spherical) elliptic Hall algebra E+ introduced in our previous work (Burban and Schiffmann in Duke Math. J. preprint math.AG/0505148, 2005). This presentation is similar in spirit to Drinfeld’s ‘new realization’ of quantum affine algebras. This answers, in the case of elliptic curves, a question of Kapranov concerning functional relati...