Music visualization has always attracted interest from people and it became more popular in the recent years after PCs and MP3 songs emerged as an alternative to existing audio systems. Most of the PC-based music visualization tools employ visual effects such as bars, waves and particle animations. In this work we define a new music visualization scheme that aims to create life-like interactive...

in treating the subject of musical language, a persian musician would be intrinsically drawn to the structural similarities between the persian music and language. indeed persian music and language are extremely related in their metrics, intonations and structural phrases (syntax). although we will draw upon this relationship, our aim in this article is to present “music as a language,” consist...

During the late 1960s, music educators introduced the idioms of post-war modernism (otherwise known as the avant-garde) into British classrooms. As a result, creative music making, composing and improvisation, became an established part of the curriculum. However the actual idioms of musical modernism have largely vanished from schools. The writer explores the reasons for this decline, while ac...

We improve the results of [BK11] by allowing restricted sets of poles among the unramified twists. This allows for a clean statement of the GL(2) converse theorem which includes all cases of Eisenstein series.

The main aim of this paper is to obtain a converse theorem for double Dirichlet series and use it to show that the Shintani zeta functions [13] which arise in the theory of prehomogeneous vector spaces are actually linear combinations of Mellin transforms of metaplectic Eisenstein series on GL(2). The converse theorem we prove will apply to a very general family of double Dirichlet series which...

In this paper we study the pullback of a Siegel Eisenstein series on Sp2m+2n to Sp2m×Sp2n. There is a well-established literature on such pullbacks. In the case that m = n Garrett showed that the pullback is actually a cusp form in each variable separately. Here we generalize this result showing the pullback is cuspidal in the smaller variable in the case m 6= n. Such results have applications ...

We study sums over primes of trace functions of `-adic sheaves. Using an extension of our earlier results on algebraic twist of modular forms to the case of Eisenstein series and bounds for Type II sums based on similar applications of the Riemann Hypothesis over finite fields, we prove general estimates with power-saving for such sums. We then derive various concrete applications.

Using hypergeometric identities and certain representations for Eisenstein series, we uniformly derive several new series representations for 1/ 2. © 2008 Elsevier Inc. All rights reserved. MSC: 33C05; 33E05; 11F11; 11R29

The Eisenstein irreducibility critierion is part of the training of every mathematician. I first learned the criterion as an undergraduate and, like many before me, was struck by its power and simplicity. This article will describe the unexpectedly rich history of the discovery of the Eisenstein criterion and in particular the role played by Theodor Schönemann. For a statement of the criterion,...