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Solutions of equations over finite fields: Enumeration via bijections

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Publication:2816900
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DOI10.1142/S021949881650136XzbMath1342.11047arXiv1505.07941MaRDI QIDQ2816900

Ioulia N. Baoulina

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1505.07941


zbMATH Keywords

number of solutionsdiagonal equationequations over finite fields


Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Counting solutions of Diophantine equations (11D45) Congruences in many variables (11D79) Varieties over finite and local fields (11G25)


Related Items

Counting solutions to generalized Markoff-Hurwitz-type equations in finite fields



Cites Work

  • On the number of solutions of diagonal equations over a finite field
  • Handbook of Finite Fields
  • ON THE EQUATION $(x_1^{m_1}+\cdots+x_n^{m_n})^k=ax_1\cdots x_n$ OVER A FINITE FIELD
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