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Rigidity of
Ulam sets and sequences
Joshua Hinman, Borys Kuca, Alexander Schlesinger and Arseniy Sheydvasser
Vol. 12 (2019), No. 3, 521–539
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Abstract |
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We give a number of results about families of Ulam sequences and sets, further exploring recent work on rigidity phenomena. For Ulam sequences, using elementary methods we give an upper bound on the density and prove regularity for various families of sequences. For Ulam sets, we consider extensions of classification work done by Kravitz and Steinerberger. |
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Keywords
Ulam sequence, additive number theory
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Mathematical Subject Classification 2010
Primary: 11B83, 11P70
Secondary: 05A16
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Milestones
Received: 10 July 2018
Revised: 31 July 2018
Accepted: 5 September 2018
Published: 14 December 2018
Communicated by Kenneth S. Berenhaut
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Authors |
| Joshua Hinman | |
| Department of Mathematics Yale University New Haven, CT United States |
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| Borys Kuca | |
| School of Mathematics University of Manchester Manchester United Kingdom |
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| Alexander Schlesinger | |
| Department of Mathematics Yale University New Haven, CT United States |
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| Arseniy Sheydvasser | |
| Department of Mathematics The Graduate Center New York, NY United States |
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