Sums of Powers in Large Finite Fields

DOI10.2307/2041984zbMath0328.12016OpenAlexW4256208460MaRDI QIDQ4093549

Charles Small

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041984

Mathematics Subject Classification ID

Exponential sums (11T23)

Related Items (15)

Matrix Waring problem ⋮ The Waring's problem over finite fields through generalized Paley graphs ⋮ Multiplicative Subgroups of Index Three in a Field ⋮ Waring problem for matrices over finite fields ⋮ Waring numbers over finite commutative local rings ⋮ Structure learning via unstructured kernel-based M-estimation ⋮ An analogue of Furstenberg-Sárközy's theorem and an alternative solution to Waring's problem over finite fields ⋮ Value sets of polynomials and the Cauchy-Davenport theorem. ⋮ THE LOEWY STRUCTURE OF CERTAIN FIXPOINT ALGEBRAS, PART II ⋮ Forms of low degree in finite fields ⋮ Sums of \((2^r + 1)\)-th powers in the polynomial ring \(\mathbb F_{2^m}[T\)] ⋮ \(u\)-invariants for forms of higher degree ⋮ Sums of Powers in Large Finite Fields: A Mix of Methods ⋮ Sums of fourth powers of polynomials over a finite field of characteristic 3 ⋮ The Furstenberg-Sárközy theorem and asymptotic total ergodicity phenomena in modular rings

Cites Work

• Equations et variétés algébriques sur un corps fini
• Waring's Problem \opertornameMod n
• Solution of Waring's Problem \opertornameMod n
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