[1] Despite contrary assertions in the literature, rewriting Eisenstein series, as opposed to more general automorphic forms, on adele groups does not use Strong Approximation. Strong Approximation does make precise the relation between general automorphic forms on adele groups and automorphic forms on SL2 and even on SLn, but rewriting these Eisenstein series does not need this comparison. Ind...

research on popular music in iran has a short history. perhaps the article “sociology of the music of the masses in iran”, published in 1980, can be considered as the first methodological and systematic study on the popular music in iran.  in that article, the researcher, using marxist and neo-marxist approaches to study popular music, provides a general view on the music of the masses of the p...

patients and methods this blinded clinical trial was performed on 60 patients admitted to icu following cabg. patients intubated and those under mechanical ventilation were unable to report their pain. the study population was randomly divided into two groups of control and music intervention groups (preferred music listening). in the intervention group, preferred music (including classical, in...

abstract despite the existence of long-standing ties between poetry and music, sanāyi, the famous poet of the sixth century, was a serious opponent unlike many other poets. he overtly blamed music as erotic art and composed poems blaming music. the author describes sanāyi’s opinion about music in this paper and explores the terms of his disagreement. in the meantime, social backgrounds of his o...

In this paper, we give an explicit formula for the first two terms of the Taylor expansion of a classical Eisenstein series of weight 2k + 1 for Γ0(q). Both the first term and the second term have interesting arithmetic interpretations. We apply the result to compute the central derivative of some Hecke L-functions. 0. Introduction. Consider the classical Eisenstein series ∑ γ∈Γ∞\ SL2(Z) Im(γτ)...

In [17], a certain family of Siegel Eisenstein series of genus g and weight (g + 1)/2 was introduced. They have an odd functional equation and hence have a natural zero at their center of symmetry (s = 0). It was suggested that the derivatives at s = 0 of such series, which we will refer to as incoherent Eisenstein series, should have some connection with arithmetical algebraic geometry. Some e...

The Eisenstein polynomial is the weighted sum of all classes of Type II codes of fixed length. In this note, we investigate the ring of the Eisenstein polynomials in genus 2.

The aim of this article is to generalize in several variables some formulae for Eisenstein series in one variable. In particular, we relate Szenes formula to Eisenstein series and we give another proof of it.