Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level

We extend some recent work of D. McCarthy, proving relations among some Fourier coefficients of a degree 2 Siegel modular form $F$ with arbitrary level and character, provided there are some primes $q$ so that $F$ is an eigenform for the Hecke operators $T(q)$ and $T_1(q^2)$

Nashville-Based Online Store Helps Cambodian Women Take Greater Control of Their Lives

The Stung Treng Women's Development Center is a model of a self-sustaining business that is lifting an entire community from the ravages of poverty.Ann Walling, Allen Foundation, Mekong Blue, silk, Cambodia, Stung Treng Women's Development Center, social enterprise, social entrepreneurship, social business, social entrepreneur, social entrepreneurs, Tennessee's Business

Hecke operators on Hilbert-Siegel modular forms

We define Hilbert-Siegel modular forms and Hecke "operators" acting on them. As with Hilbert modular forms, these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), modulo natural identifications we can make between certain spaces. With Hilbert-Siegel forms we identify several families of natural identifications between certain spaces of modular forms. We associate the Fourier coefficients of a form in our product space to even integral lattices, independent of a basis and choice of coefficient rings. We then determine the action of the Hecke operators on these Fourier coefficients, paralleling the result of Hafner and Walling for Siegel modular forms (where the number field is the field of rationals)

Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character

We evaluate the action of Hecke operators on Siegel Eisenstein series of arbitrary degree, level and character. For square-free level, we simultaneously diagonalise the space with respect to all the Hecke operators, computing the eigenvalues explicitly, and obtain a multiplicity-one result. For arbitrary level, we simultaneously diagonalise the space with respect to the Hecke operators attached to primes not dividing the level, again computing the eigenvalues explicitly.Comment: to appear, Internat. J. Number Theor

The effectiveness of vote centers and their implementation in Indiana

In the modern political environment in the United States, voting is the most common form of political participation. Many individuals consider voting to be a simple process, but it is a form of political participation that requires various costs from both the individuals casting their ballot and the authority systems organizing and managing elections. In recent years new voting programs have been established to lower costs, increase voter turnout, and add flexibility to the voting process through the use of modern technology. The following research examines the new Vote Center Model of running elections being implemented in Wayne, Tippecanoe, and Cass Counties in Indiana. Elections held in 2007 and 2008 will be studied, attempting to determine the effect of the Vote Center Model on running elections when compared to the traditional Precinct Model.Department of Political ScienceThesis (M.P.A.

Fair competition: The engine of economic development

This paper questions the existing notion of competition prevalent in economic theory. It is shown that the prevalent idea of competition is incompatible with economic development. Fair competition, this paper argues, ought to be understood in context. The paper ends by providing some preliminary suggestions to economists and policy makers on how to understand competition.Competition; Economic development; Classical economics; Indian economy