Intersective polynomials arising from sums of powers

DOI10.1080/00927872.2021.1879827zbMath1494.11038arXiv2103.03439OpenAlexW3133519977MaRDI QIDQ4994051

Bhawesh Mishra

Publication date: 14 June 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03439

zbMATH Keywords

intersective polynomialsintersective setspolynomials with roots modulo all integers

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Congruences in many variables (11D79) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

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• Intersective polynomials and the polynomial Szemerédi theorem
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Van der Corput's difference theorem
• Polynomials (<em>x</em>³ − <em>n</em>)(<em>x</em>² + 3) Solvable Modulo Any Integer
• On difference sets of sequences of integers. I
• On difference sets of sequences of integers. III
• Polynomials with roots modulo every integer

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