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On multivariate polynomials with many roots over a finite grid

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Publication:5157742
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DOI10.1142/S021949882150136XzbMath1478.11145arXiv1909.06613OpenAlexW3045169190MaRDI QIDQ5157742

Olav Geil

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.06613


zbMATH Keywords

finite fieldvarietymultivariate polynomialrootfootprint boundfinite grid


Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials over finite fields (11T06) Polynomials (irreducibility, etc.) (11R09) Varieties over finite and local fields (11G25)




Cites Work

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  • Combinatorial Nullstellensatz
  • Footprints or generalized Bezout's theorem
  • Polynomial weights and code constructions
  • On generalized ReedMuller codes and their relatives
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