Waring's problem in function fields

DOI10.1515/CRELLE.2010.001zbMath1221.11203OpenAlexW2017088705MaRDI QIDQ3404378

Trevor D. Wooley, Yu-Ru Liu

Publication date: 9 February 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2010.001

zbMATH Keywords

function fieldWaring's problem

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (17)

The Pintz–Steiger–Szemerédi estimate for intersective quadratic polynomials in function fields ⋮ Correlations of multiplicative functions in function fields ⋮ The Furstenberg-Sárközy theorem for intersective polynomials in function fields ⋮ LONELY RUNNERS IN FUNCTION FIELDS ⋮ Irreducible polynomials with several prescribed coefficients ⋮ Waring's problem for polynomial rings and the digit sum of exponents ⋮ The unrestricted variant of Waring's problem in function fields ⋮ Commutators and images of noncommutative polynomials ⋮ Finite field models in arithmetic combinatorics -- ten years on ⋮ A Prime Analogue of Roth’s Theorem in Function Fields ⋮ LINEAR AND QUADRATIC UNIFORMITY OF THE MÖBIUS FUNCTION OVER ⋮ Algebraic stories from one and from the other pockets ⋮ The asymptotic estimates and Hasse principle for multidimensional Waring's problem ⋮ Waring's problem for unipotent algebraic groups ⋮ Polynomial quotients: Interpolation, value sets and Waring's problem ⋮ Problems and Results on Intersective Sets ⋮ Rational points on cubic hypersurfaces over \(\mathbb F_q(t)\)

Cites Work

• Waring's problem for algebras over fields
• A new iterative method in Waring's problem
• Large improvements in Waring's problem
• Further improvements in Waring's problem
• A large sieve inequality for rational function fields
• On quasi algebraic closure
• Waring's Problem in Function Fields
• THEOREMS ON POLYNOMIALS IN A GALOIS FIELD
• Sums of cubes of polynomials

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