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Miller, Steven J.

  1. The Average Gap Distribution for Generalized Zeckendorf Decompositions
    2012/08/29 by Olivia Beckwith, Beckwith, Olivia, Amanda Bower +11 · 7 citations
    Mathematics · Physics and Astronomy · #11B05 (Primary) 65Q30 #11B39 #60B10 (Secondary) #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #FOS: Mathematics #Graph theory and applications #Number Theory (math.NT)
  2. On the number of summands in Zeckendorf decompositions
    2010/08/19 by Murat Koloğlu, Kologlu, Murat, Gene S. Kopp +5 · 4 citations
    Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)
  3. The Distribution of Gaps between Summands in Generalized Zeckendorf Decompositions
    2014/02/17 by Amanda Bower, Rachel Insoft, Bower, Amanda +7 · 2 citations
    Computer Science · Mathematics · #11B05 (primary) 65Q30 #11B39 #60B10 (secondary) #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #semigroups and automata theory
  4. The Generalized Zeckendorf Game
    2018/09/13 by Paul Baird‐Smith, Baird-Smith, Paul, Alyssa Epstein +5 · 3 citations
    Decision Sciences · Economics, Econometrics and Finance · #Combinatorics (math.CO) #Economic theories and models #FOS: Mathematics #Game Theory and Applications #Game Theory and Voting Systems #Number Theory (math.NT)
  5. VC-Dimension of Hyperplanes over Finite Fields
    2023/07/19 by Ascoli, Ruben, Betti, Livia, Cheigh, Justin +8 · 3 citations
    #Combinatorics (math.CO) #FOS: Mathematics
  6. Maass waveforms and low-lying zeros
    2013/06/25 by Levent Alpöge, Alpoge, Levent, Nadine Amersi +9 · 1 citation
    Mathematics · #11M26 (primary) #11M41 #15A52 (secondary) #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT)
  7. Generalizing Zeckendorf's Theorem: The Kentucky Sequence
    2014/09/01 by Catral, Minerva, Ford, Pari, Harris, Pamela +2 · 1 citation
    #11B05 (primary) 65Q30 (secondary) #11B39 #60B10 #FOS: Mathematics #Number Theory (math.NT)
  8. One-Level density for holomorphic cusp forms of arbitrary level
    2016/04/12 by Barrett, Owen, Burkhardt, Paula, DeWitt, Jonathan +2 · 1 citation
    #11M26 (primary) #11M41 #15A52 (secondary) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT)
  9. Legal Decompositions Arising from Non-positive Linear Recurrences
    2016/06/30 by Catral, Minerva, Ford, Pari L., Harris, Pamela E. +2 · 1 citation
    #11B05 (primary) #11B39 #60B10 #65Q30 (secondary) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  10. Zeckendorf's Theorem Using Indices in an Arithmetic Progression
    2020/05/20 by Gilson, Amelia, Killen, Hadley, Lengyel, Tamás +4 · 1 citation
    #11B37 (Secondary) #11B39 (Primary) 11B25 #FOS: Mathematics #Number Theory (math.NT)
  11. Walking to Infinity Along Some Number Theory sequences
    2020/10/28 by Miller, Steven J., Peng, Fei, Popescu, Tudor +3 · 1 citation
    #FOS: Mathematics #Number Theory (math.NT)
  12. Distribution of Missing Sums in Sumsets
    2011/09/22 by Lazarev, Oleg, Miller, Steven J., O'Bryant, Kevin · 1 citation
    #11P99 (Primary) 11K99 (Secondary) #FOS: Mathematics #Number Theory (math.NT)
  13. Equipartitions and a Distribution for Numbers: A Statistical Model for Benford's Law
    2015/03/28 by Iafrate, Joseph R., Miller, Steven J., Strauch, Frederick W. · 1 citation
    #Data Analysis #FOS: Physical sciences #Statistics and Probability (physics.data-an)
  14. Generalizations of a Curious Family of MSTD Sets Hidden By Interior Blocks
    2018/08/16 by Chu, Hung Viet, Luntzlara, Noah, Miller, Steven J. +1 · 1 citation
    #11K99 (secondary) #11P99 (primary) #FOS: Mathematics #Number Theory (math.NT)
  15. Infinite Families of Partitions into MSTD Subsets
    2018/08/16 by Chu, Hung Viet, Luntzlara, Noah, Miller, Steven J. +1 · 1 citation
    #11K99 (secondary) #11P99 (primary) #FOS: Mathematics #Number Theory (math.NT)
  16. The Zeckendorf Game
    2018/09/13 by Baird-Smith, Paul, Epstein, Alyssa, Flint, Kristen +1 · 1 citation
    #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  17. Walking to Infinity on the Fibonacci Sequence
    2022/04/18 by Steven J. Miller, Fei Peng, Miller, Steven J. +5 · 1 citation
    Physics and Astronomy · Computer Science · Mathematics · #Advanced Mathematical Theories and Applications #Computability, Logic, AI Algorithms #History and Theory of Mathematics
  18. k-Diophantine m-tuples in Finite Fields
    2022/01/17 by Hammonds, Trajan, Kim, Seoyoung, Miller, Steven J. +4 · 1 citation
    #11D45 #11D72 #FOS: Mathematics #Number Theory (math.NT)
  19. Deterministic Zeckendorf Games
    2020/06/30 by Ruoci Li, Li, Ruoci, Xiaonan Li +11 · 1 citation
    Computer Science · #Artificial Intelligence in Games #FOS: Mathematics #Number Theory (math.NT) #semigroups and automata theory
  20. Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf Game on this Non-constant Recurrence Relation
    2020/09/26 by Elżbieta Bołdyriew, Anna Cusenza, Bołdyriew, Elżbieta +35 · 1 citation
    Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Mathematical Dynamics and Fractals #Advanced Combinatorial Mathematics
  21. From Fibonacci Numbers to Central Limit Type Theorems
    2010/08/19 by Steven J. Miller, Miller, Steven J., Yinghui Wang +1 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #semigroups and automata theory
  22. Gaussian Behavior in Generalized Zeckendorf Decompositions
    2011/07/14 by Miller, Steven J., Wang, Yinghui · 1 citation
    #11B39 (primary) 65Q30 #60B10 (secondary) #FOS: Mathematics #Number Theory (math.NT)
  23. New Behavior in Legal Decompositions Arising from Non-positive Linear Recurrences
    2016/06/29 by Minerva Catral, Pari L. Ford, Catral, Minerva +11 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #11B05 (primary) #11B39 #60B10 #65Q30 (secondary) #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Probability (math.PR) #semigroups and automata theory
  24. Most Subsets are Balanced in Finite Groups
    2013/08/10 by Steven J. Miller, Kevin Vissuet, Miller, Steven J. +1 · 1 citation
    Mathematics · Computer Science · Engineering · #Limits and Structures in Graph Theory #Graph Labeling and Dimension Problems #graph theory and CDMA systems
  25. On the Asymptotic Behavior of Variance of PLRS Decompositions
    2016/07/16 by Steven J. Miller, Dawn Nelson, Miller, Steven J. +5 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #11B05 (primary) #11B39 #60B10 #65Q30 (secondary) #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Algorithms and Data Compression #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR)
  26. Sum and Difference Sets in Generalized Dihedral Groups
    2022/10/03 by Ruben Ascoli, Ascoli, Ruben, Justin Cheigh +15 · 1 citation
    Engineering · Mathematics · #05B10 #11P99 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT) #graph theory and CDMA systems
  27. Constructions of Generalized MSTD Sets in Higher Dimensions
    2020/09/06 by Elena Kim, Kim, Elena, Steven J. Miller +1 · 1 citation
    Engineering · #FOS: Mathematics #Number Theory (math.NT) #Structural Load-Bearing Analysis
  28. A Pair of Diophantine Equations Involving the Fibonacci Numbers
    2024/08/21 by Xuyuan Chen, Hùng Việt Chu, Chen, Xuyuan +13 · 2 citations
    Physics and Astronomy · Mathematics · #11B39 #11D04 #FOS: Mathematics #Number Theory (math.NT)
  29. Schreier Multisets and the s-step Fibonacci Sequences
    2023/04/11 by Chu, Hung Viet, Irmak, Nurettin, Miller, Steven J. +2 · 1 citation
    #11B37 #11B39 #11Y55 #Combinatorics (math.CO) #FOS: Mathematics
  30. Higher Order Fibonacci Sequences from Generalized Schreier sets
    2019/09/08 by Hùng Việt Chu, Chu, Hung Viet, Steven J. Miller +3 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #11B39 (primary) #11Y55 (secondary) #Advanced Mathematical Theories and Applications #FOS: Mathematics #Fractal and DNA sequence analysis #Number Theory (math.NT)
  31. Benfordness of Measurements Resulting from Box Fragmentation
    2023/04/17 by Livia Betti, Betti, Livia, Irfan Durmić +7 · 1 citation
    Mathematics · #11K06 (primary) #60A10 #60E10 (secondary) #Benford’s Law and Fraud Detection #FOS: Mathematics #Probability (math.PR)
  32. On the Density of Low Lying Zeros of a Large Family of Automorphic L-functions
    2024/08/16 by Cheek, Timothy, Gilman, Pico, Jaber, Kareem +2 · 1 citation
    #11M41 (Primary) #60B20 (Secondary) #FOS: Mathematics #Number Theory (math.NT)