Arithmetic progressions, polynomials, complex polynomials, invariance
We use a generalized version of arithmetic progressions to obtain a non- trivial everywhere-zero sum in terms of a complex univariate polynomial and its degree. We then remark on its generalization to multivariate polynomials.
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Niemiro, Matthew '20, "Invariant sum defined in terms of complex multivariate polynomial given degree" (2019). Examples of Student Work. 2.