Recovering affine linearity of functions from their restrictions to affine lines

DOI10.1007/s10801-023-01233-7arXiv2212.02429OpenAlexW4380624120MaRDI QIDQ6083970

Akaki Tikaradze, Apoorva Khare

Publication date: 31 October 2023

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.02429

zbMATH Keywords

field automorphismSidon setconcatenation\(B_h\) setaffine-linear maps

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Other combinatorial number theory (11B75) Vector spaces, linear dependence, rank, lineability (15A03) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

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• Theorems in the additive theory of numbers
• The number of multiplicative Sidon sets of integers
• On \(B_ 2\)-sequences of vectors
• Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors
• A Theorem in Finite Projective Geometry and Some Applications to Number Theory
• On a Problem of Sidon in Additive Number Theory, and on some Related Problems
• A Note on the Erdös Distinct Subset Sums Problem
• Additive and multiplicative Sidon sets
• New upper bounds for finite \(B_h\) sequences

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