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The unreasonable rigidity of Ulam sequences

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Publication:1788116
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DOI10.1016/j.jnt.2018.06.015zbMath1437.11041OpenAlexW2884714550MaRDI QIDQ1788116

Joshua Hinman, Arseniy Sheydvasser, Borys Kuca, Alexander Schlesinger

Publication date: 8 October 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.06.015


zbMATH Keywords

model theoryadditive number theoryUlam sequence


Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Applications of model theory (03C98)


Related Items (5)

The Ulam Sequence of the Integer Polynomial Ring ⋮ Structures in additive sequences ⋮ Rigidity of Ulam sets and sequences ⋮ Ulam Sequences and Ulam Sets ⋮ Ulam Sets in New Settings



Cites Work

  • On the regularity of certain 1-additive sequences
  • The regularity of some 1-additive sequences
  • Sur les suites s-additives
  • A Hidden Signal in the Ulam Sequence
  • Structures in additive sequences
  • A Class of 1-Additive Sequences and Quadratic Recurrences
  • Combinatorial Analysis in Infinite Sets and Some Physical Theories
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