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.

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 $T_1(q^2)$

Action of Hecke operators on Siegel theta series II

Given a Siegel theta series and a prime p not dividing the level of the theta series, we apply to the theta series the n+1 Hecke operators that generate the local Hecke algebra at p. We show that the average theta series is an eigenform and we compute the eigenvalues

A study to determine the usefulness of interval analysis in solving problems in celestial mechanics

This investigation was undertaken to determine the usefulness of interval analysis to numerical integration and matrix inversion techniques and to combine these results to determine the value of interval analysis in bounding computational errors in the two-body problem. Conclusions were that interval analysis may be worthwhile in certain small scale isolated problems, but its usefulness in any large scale problem is doubtful

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