Binary Quadratic Forms in Difference Sets
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Publication:3296100
DOI10.1007/978-3-030-31106-3_14zbMath1472.11060arXiv1810.03680OpenAlexW2998528044MaRDI QIDQ3296100
Publication date: 3 July 2020
Published in: Combinatorial and Additive Number Theory III (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.03680
binary quadratic formsdifference setsHardy-Littlewood circle methodarithmetic combinatoricsFurstenburg-Sárközy theorem
Quadratic forms over global rings and fields (11E12) Additive bases, including sumsets (11B13) General binary quadratic forms (11E16) Arithmetic combinatorics; higher degree uniformity (11B30)
Cites Work
- Difference sets without squares
- Difference sets and shifted primes
- Polynomial configurations in difference sets
- 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
- On arithmetic structures in dense sets of integers
- A new proof of Sárközy’s theorem
- Sárközy's theorem for P-intersective polynomials
- Intersective sets given by a polynomial
- Difference sets and polynomials of prime variables
- On Sets of Natural Numbers Whose Difference Set Contains No Squares
- On difference sets of sequences of integers. I
- On difference sets of sequences of integers. III
- A maximal extension of the best-known bounds for the Furstenberg–Sárközy theorem
- Improved Bounds on Sárközy’s Theorem for Quadratic Polynomials
- Difference sets and the primes
- On Certain Sets of Integers
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