Rado's criterion over squares and higher powers
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Publication:2031686
DOI10.4171/JEMS/1047zbMath1497.11028arXiv1806.05002OpenAlexW3132786080MaRDI QIDQ2031686
Sean Prendiville, Sam Chow, Sofia Lindqvist
Publication date: 10 June 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.05002
Diophantine equations in many variables (11D72) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (6)
Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ Towards characterizing the 2-Ramsey equations of the form \(ax + by = p(z)\) ⋮ Unnamed Item ⋮ On sumsets of subsets of squares ⋮ A Diophantine Ramsey theorem ⋮ Translation invariant quadratic forms and dense sets of primes
Cites Work
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- Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
- Partition regularity and the primes
- On \(\Lambda\) (p)-subsets of squares
- A Schur-type addition theorem for primes
- Roth's theorem in the primes
- Linear equations in primes
- Quantitative theorems for regular systems of equations
- A new iterative method in Waring's problem
- On partition regular systems of equations
- Large improvements in Waring's problem
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Supersaturation in posets and applications involving the container method
- Ramsey properties of nonlinear Diophantine equations
- Studien zur Kombinatorik
- On arithmetic structures in dense sets of integers
- Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour
- On the interplay between additive and multiplicative largeness and its combinatorial applications
- Monochromatic sums and products in \(\mathbb{N}\)
- Density and Ramsey type results on algebraic equations with restricted solution sets
- Partitionen und lineare Gleichungssysteme
- Solving and Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer
- Monochromatic sums and products
- Higher order Fourier analysis of multiplicative functions and applications
- Weyl sums, mean value estimates, and Waring's problem with friable numbers
- The Asymptotic Formula in Waring’s Problem
- ON A DIAGONAL QUADRIC IN DENSE VARIABLES
- An arithmetic regularity lemma, associated counting lemma, and applications
- Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers
- On Certain Sets of Positive Density
- Forms in many variables
- On the Number of Monochromatic Solutions of x + y =z 2
- WARING'S PROBLEM WITH SHIFTS
- On Waring's Problem: Some Refinements
- Partitions and Sums and Products of Integers
- Combinatorial Proofs of the Polynomial van der Waerden Theorem and the Polynomial Hales-Jewett Theorem
- Tight bounds on additive Ramsey-type numbers
- A Transference Approach to a Roth-Type Theorem in the Squares
- Roth–Waring–Goldbach
- Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case
- Monochromatic solutions to x+y=z2 in the interval [N,cN4]
- Partition regularity and multiplicatively syndetic sets
- On Translation Invariant Quadratic Forms in Dense Sets
- Four variants of the Fourier-analytic transference principle
- Monochromatic Solutions to
- Simultaneous Quadratic Equations
- Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
- ON THE DISTRIBUTION OF THE SEQUENCE n2 (mod 1)
- On Certain Sets of Integers
- On Waring's problem for cubes.
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