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The Waring’s problem over finite fields through generalized Paley graphs

  • Published:2021-05 Issue:5 Volume:344 Page:112324
  • ISSN:0012-365X
  • Container-title:Discrete Mathematics
  • language:en
  • Short-container-title:Discrete Mathematics

Author:

Podestá Ricardo A.ORCID,Videla Denis E.

Funder

Consejo Nacional de Investigaciones Científicas y Técnicas

Fondo para la Investigación Científica y Tecnológica

Secretaria de Ciencia y Tecnología - Universidad Nacional de Córdoba

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference22 articles.

1. Recherches sur les nombres;Cauchy;Ecole Polytechnique,1812

2. Some applications of the Cauchy–Davenport theorem;Chowla;Norske Vid. Selsk. Forh. Trondheim,1959

3. Waring’s number in a finite field;Cipra;Integers,2009

4. Heilbronn’s conjecture on Waring’s number (mod p);Cipra;J. Number Theory,2007

5. Sum–product estimates applied to Waring’s problem mod p;Cochrane;Integers,2008

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Spectral properties of generalized Paley graphs of (qℓ + 1)th powers and applications;Discrete Mathematics, Algorithms and Applications;2024-08-21

2. Number of cliques of Paley-type graphs over finite commutative local rings;Discussiones Mathematicae Graph Theory;2024

3. Waring numbers over finite commutative local rings;Discrete Mathematics;2023-10

4. Paley-like graphs over finite fields from vector spaces;Finite Fields and Their Applications;2023-06

5. Generalized Paley graphs equienergetic with their complements;Linear and Multilinear Algebra;2022-12-26
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