Of a similar mind was Dr. Emmett Dent, for many years Superintendent of the Manhattan State Hospital. After segregating a number of patients for a time and recording the effects of especially selected music upon them, Dr. Dent became an enthusiastic user of music as a means of alleviating some of the symptoms of the unsound mind. He said : "Music is responsible for cures among the insane, and i...

Let Γ be a Fuchsian group of the first kind acting on the hyperbolic upper half plane H, and let M = Γ\H be the associated finite volume hyperbolic Riemann surface. If γ is parabolic, there is an associated (parabolic) Eisenstein series, which, by now, is a classical part of mathematical literature. If γ is hyperbolic, then, following ideas due to Kudla-Millson, there is a corresponding hyperbo...

Motivated by string theory scattering amplitudes that are invariant under a discrete U-duality, we study Fourier coefficients of Eisenstein series on Kac– Moody groups. In particular, we analyse the Eisenstein series on E9(R), E10(R) and E11(R) corresponding to certain degenerate principal series at the values s = 3/2 and s = 5/2 that were studied in [1]. We show that these Eisenstein series ha...

is Eisenstein at a prime p when each coefficient ci is divisible by p and the constant term c0 is not divisible by p 2. Such polynomials are irreducible in Q[T ], and this Eisenstein criterion for irreducibility is the way nearly everyone first meets Eisenstein polynomials. Here, we will show Eisenstein polynomials are closely related to total ramification of primes in number fields. Let K be a...

In his pioneering work, H. Garland constructed Eisenstein series on affine Kac-Moody groups over the field of real numbers. He established the almost everywhere convergence of these series, obtained a formula for their constant terms, and proved a functional equation for the constant terms. In his subsequent paper, the convergence of the Eisenstein series was obtained. In this paper, we define ...

abstract there is interchange of cultures and different kinds of ethnos music in the world between different cultures as acculturation. the economical, trade and political interchange, war and immigration has played a prominent role on acculturation; and obviously most of the time dominant culture has more influence on the other culture. one of the acculturation in the field of music devoted to...

The joke, of course, refers to Spam, the canned food substance that originated in the 1930s in the United States, but was famously imported into Britain during World War II.1 Spam (spiced ham) became a cheap supplement for pure meat products, which were in severe shortage during the conflict. Perhaps the cheapness and mass consumption of Spam during the period are among the reasons why it becam...