Difference sets without \(\kappa\)-th powers
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Publication:1333068
DOI10.1007/BF01874311zbMath0816.11014OpenAlexW2076040845MaRDI QIDQ1333068
Publication date: 18 July 1995
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01874311
Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Additive bases, including sumsets (11B13) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Rate of growth of arithmetic functions (11N56)
Related Items (20)
Polynomial configurations in subsets of random and pseudo-random sets ⋮ Three-term polynomial progressions in subsets of finite fields ⋮ A new upper bound for sets with no square differences ⋮ The Pintz–Steiger–Szemerédi estimate for intersective quadratic polynomials in function fields ⋮ Multivariate Polynomial Values in Difference Sets ⋮ The Furstenberg-Sárközy theorem for intersective polynomials in function fields ⋮ Sets in $ {\mathbb{Z}}_m$ whose difference sets avoid squares ⋮ A maximal extension of the best-known bounds for the Furstenberg–Sárközy theorem ⋮ Binary Quadratic Forms in Difference Sets ⋮ Bounds for sets with no polynomial progressions ⋮ Difference sets and shifted primes ⋮ On two-point configurations in subsets of pseudo-random sets ⋮ Intersective polynomials and the primes ⋮ Arithmetic structure in sparse difference sets ⋮ Polynomial configurations in difference sets ⋮ The primes contain arbitrarily long polynomial progressions ⋮ A new proof of Sárközy’s theorem ⋮ Sets whose differences avoid squares modulo 𝑚 ⋮ Further bounds in the polynomial Szemer ⋮ Problems and Results on Intersective Sets
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