The Pintz–Steiger–Szemerédi estimate for intersective quadratic polynomials in function fields

DOI10.1142/S1793042122500257zbMath1505.11132OpenAlexW3199868840MaRDI QIDQ5061569

Guoquan Li

Publication date: 14 March 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042122500257

zbMATH Keywords

function fieldexponential sumHardy-Littlewood circle methodFurstenberg-Sárközy theoremintersective polynomial

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (1)

Enveloping sieve related to the Hardy-Littlewood irreducible tuple conjecture in a function field

Cites Work

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• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Van der Corput's difference theorem
• Difference sets without \(\kappa\)-th powers
• The Furstenberg-Sárközy theorem for intersective polynomials in function fields
• Diophantine approximation of polynomials over 𝔽q[t satisfying a divisibility condition]
• On sets of polynomials whose difference set contains no squares
• Sárközy's Theorem in Function Fields
• Waring's problem in function fields
• On Sets of Natural Numbers Whose Difference Set Contains No Squares
• On difference sets of sequences of integers. I
• A maximal extension of the best-known bounds for the Furstenberg–Sárközy theorem
• Improved Bounds on Sárközy’s Theorem for Quadratic Polynomials
• Problems and Results on Intersective Sets

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