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Physical Sciences and Mathematics Commons

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Mathematics

2019

Polynomials

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Full-Text Articles in Physical Sciences and Mathematics

Invariant Sum Defined In Terms Of Complex Multivariate Polynomial Given Degree, Matthew Niemiro '20 Dec 2019

Invariant Sum Defined In Terms Of Complex Multivariate Polynomial Given Degree, Matthew Niemiro '20

Exemplary Student Work

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.