A Roth-type theorem with mixed powers

DOI10.1007/s11139-019-00148-xzbMath1453.11126OpenAlexW2954995526MaRDI QIDQ780446

Tak Wing Ching

Publication date: 15 July 2020

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00148-x

zbMATH Keywords

Waring-Goldbach problemtransference principlearithmetic combinatoricsRoth-type theorem

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

• Unnamed Item
• On certain other sets of integers
• On \(\Lambda\) (p)-subsets of squares
• 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
• Translation invariant equations and the method of Sanders
• A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.
• Decompositions, approximate structure, transference, and the Hahn-Banach theorem
• Integer Sets Containing No Arithmetic Progressions
• On sets of integers containing k elements in arithmetic progression
• A Transference Approach to a Roth-Type Theorem in the Squares
• Roth–Waring–Goldbach
• Four variants of the Fourier-analytic transference principle
• On Certain Sets of Integers

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