Construction of systems of polynomial equations with exact p-Divisibility via the covering method
Francis N. Castro, Ivelisse M. Rubio · Journal of Algebra and Its Applications · 2013
We present an elementary method to compute the exact p-divisibility of exponential sums of systems of polynomial equations over the prime field. Our results extend results by Carlitz and provide concrete and simple conditions to construct families of polynomial equations that are solvable over the prime field.