A Prime Analogue of Roth’s Theorem in Function Fields

DOI10.1007/978-1-4939-3201-6_5zbMath1397.11160OpenAlexW2332937418MaRDI QIDQ2808220

Craig V. Spencer, Yu-Ru Liu

Publication date: 20 May 2016

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-3201-6_5

zbMATH Keywords

Roth's theoremmonic irreducible polynomialsHardy-Littlewood circle method

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Polynomials over finite fields (11T06)

Related Items (1)

Intersective polynomials and the primes

Cites Work

• On certain other sets of integers
• On Roth's theorem on progressions
• Roth's theorem in the primes
• Roth's theorem on progressions revisited
• On triples in arithmetic progression
• The primes contain arbitrarily long arithmetic progressions
• Integer sets containing no arithmetic progressions
• Translation invariant equations and the method of Sanders
• Exponential Sums Over Primes in an Arithmetic Progression
• Green–Tao theorem in function fields
• Difference sets and the irreducibles in function fields
• Waring's problem in function fields
• A GENERALIZATION OF ROTH'S THEOREM IN FUNCTION FIELDS
• Integer Sets Containing No Arithmetic Progressions
• On sets of integers containing k elements in arithmetic progression
• ON IMPROVING ROTH'S THEOREM IN THE PRIMES
• Improving Roth's Theorem in the Primes
• On Certain Sets of Integers
• A new proof of Szemerédi's theorem
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