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Steven J. Miller

Identifiers

  • name variant Steven J. Miller 0.60 · backfill

Papers (123)

  1. Fibonacci Numbers and Vieta Jumping for a Rational Diophantine Equation math.NT · 2026 · author #1
  2. Comparing Left and Right Quotient Sets in Groups math.NT · 2025 · author #5
  3. Rank and Bias in Families of Hyperelliptic Curves via Nagao's Conjecture math.NT · 2019 · author #5
  4. Limiting Distributions in Generalized Zeckendorf Decompositions math.NT · 2018 · author #4
  5. Gaussian Behavior in Zeckendorf Decompositions From Lattices math.NT · 2018 · author #5
  6. The Generalized Zeckendorf Game math.NT · 2018 · author #4
  7. The Zeckendorf Game math.NT · 2018 · author #4
  8. Spectral Statistics of Non-Hermitian Random Matrix Ensembles math-ph · 2018 · author #4
  9. Low-lying zeros for L-functions associated to Hilbert modular forms of large level math.NT · 2017 · author #2
  10. A geometric perspective on the MSTD question math.CO · 2017 · author #1
  11. The bidirectional ballot polytope math.CO · 2017 · author #1
  12. On algorithms to calculate integer complexity math.NT · 2017 · author #4
  13. Classification of crescent configurations math.CO · 2016 · author #4
  14. The Inverse Gamma Distribution and Benford's Law math.PR · 2016 · author #4
  15. Optimal point sets determining few distinct triangles math.CO · 2016 · author #3
  16. Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions math.NT · 2016 · author #4
  17. On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy math.NT · 2016 · author #3
  18. When Sets Can and Cannot Have MSTD Subsets math.NT · 2016 · author #3
  19. When almost all sets are difference dominated in $\mathbb{Z}/n\mathbb{Z}$ math.NT · 2016 · author #3
  20. On the Asymptotic Behavior of Variance of PLRS Decompositions math.NT · 2016 · author #1
  21. Legal Decompositions Arising from Non-positive Linear Recurrences math.CO · 2016 · author #4
  22. New Behavior in Legal Decompositions Arising from Non-positive Linear Recurrences math.CO · 2016 · author #4
  23. Central Limit Theorems for Gaps of Generalized Zeckendorf Decompositions math.NT · 2016 · author #2
  24. One-Level density for holomorphic cusp forms of arbitrary level math.NT · 2016 · author #5
  25. Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters math.NT · 2016 · author #2
  26. Subsets of $\mathbb{F}_q[x]$ free of 3-term geometric progressions math.NT · 2015 · author #5
  27. Crescent configurations math.CO · 2015 · author #4
  28. Fringe pairs in generalized MSTD sets math.NT · 2015 · author #3
  29. A Generalization of Zeckendorf's Theorem via Circumscribed $m$-gons math.NT · 2015 · author #5
  30. The M&M Game: From Morsels to Modern Mathematics math.HO · 2015 · author #6
  31. Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions math.NT · 2015 · author #4
  32. Determining Optimal Test Functions for Bounding the Average Rank in Families of $L$-Functions math.NT · 2015 · author #2
  33. The emergence of 4-cycles in polynomial maps over the extended integers math.NT · 2015 · author #3
  34. Leading Digit Laws on Linear Lie Groups math.NT · 2015 · author #2
  35. Constructing families of moderate-rank elliptic curves over number fields math.NT · 2015 · author #2
  36. Equipartitions and a Distribution for Numbers: A Statistical Model for Benford's Law physics.data-an · 2015 · author #2
  37. Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals math.NT · 2015 · author #5
  38. Spherical Matrix Ensembles math.PR · 2015 · author #2
  39. Benford Behavior of Generalized Zeckendorf Decompositions math.NT · 2014 · author #5
  40. Geometric-progression-free sets over quadratic number fields math.NT · 2014 · author #4
  41. Limiting Spectral Measures for Random Matrix Ensembles with a Polynomial Link Function math.PR · 2014 · author #2
  42. Gaps between zeros of GL(2) $L$-functions math.NT · 2014 · author #3
  43. Generalizing Zeckendorf's Theorem: The Kentucky Sequence math.NT · 2014 · author #4
  44. Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals math.NT · 2014 · author #5
  45. Benford Behavior of Zeckendorf Decompositions math.NT · 2014 · author #5
  46. Relieving and Readjusting Pythagoras math.HO · 2014 · author #2
  47. Sets Characterized by Missing Sums and Differences in Dilating Polytopes math.NT · 2014 · author #3
  48. Pythagoras at the Bat math.HO · 2014 · author #1
  49. A Probabilistic Approach to Generalized Zeckendorf Decompositions math.PR · 2014 · author #2
  50. Zeros of Dirichlet L-functions over Function Fields math.NT · 2014 · author #2
  51. The Weibull Distribution and Benford's Law math.PR · 2014 · author #3
  52. The Distribution of Gaps between Summands in Generalized Zeckendorf Decompositions math.CO · 2014 · author #4
  53. Continued fraction digit averages an Maclaurin's inequalities math.NT · 2014 · author #3
  54. Sums and differences of correlated random sets math.NT · 2014 · author #3
  55. The James Function math.HO · 2013 · author #3
  56. Newman's conjecture in various settings math.NT · 2013 · author #3
  57. Benford's Law and Continuous Dependent Random Variables math.PR · 2013 · author #7
  58. A Generalization of Fibonacci Far-Difference Representations and Gaussian Behavior math.NT · 2013 · author #4
  59. Generalizing Zeckendorf's Theorem to f-decompositions math.NT · 2013 · author #4
  60. Special Sets of Primes in Function Fields math.NT · 2013 · author #2
  61. Most Subsets are Balanced in Finite Groups math.NT · 2013 · author #1
  62. On the spectral distribution of large weighted random regular graphs math.PR · 2013 · author #3
  63. Maass waveforms and low-lying zeros math.NT · 2013 · author #5
  64. Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets math.NT · 2013 · author #1
  65. When Generalized Sumsets are Difference Dominated math.NT · 2013 · author #2
  66. Low-lying zeroes of Maass form $L$-functions math.NT · 2013 · author #2
  67. Coordinate sum and difference sets of $d$-dimensional modular hyperbolas math.NT · 2012 · author #4
  68. Quadratic fields with cyclic 2-class groups math.NT · 2012 · author #2
  69. The Average Gap Distribution for Generalized Zeckendorf Decompositions math.NT · 2012 · author #6
  70. The Pythagorean Won-Loss Formula and Hockey: A Statistical Justification for Using the Classic Baseball Formula as an Evaluative Tool in Hockey stat.AP · 2012 · author #2
  71. The n-level densities of low-lying zeros of quadratic Dirichlet L-functions math.NT · 2012 · author #2
  72. First Order Approximations of the Pythagorean Won-Loss Formula for Predicting MLB Teams' Winning Percentages stat.AP · 2012 · author #2
  73. Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles math.PR · 2011 · author #3
  74. Low-lying Zeros of Cuspidal Maass Forms math.NT · 2011 · author #4
  75. Surpassing the Ratios Conjecture in the 1-level density of Dirichlet $L$-functions math.NT · 2011 · author #2
  76. Benford's Law and Continuous Dependent Random Variables math.PR · 2011 · author #3
  77. Virus Dynamics on Starlike Graphs math.DS · 2011 · author #4
  78. Distribution of Missing Sums in Sumsets math.NT · 2011 · author #2
  79. Generalized More Sums Than Differences Sets math.NT · 2011 · author #3
  80. Generalized Ramanujan Primes math.NT · 2011 · author #3
  81. A Random Matrix Model for Elliptic Curve L-Functions of Finite Conductor math.NT · 2011 · author #4
  82. Finding and Counting MSTD sets math.NT · 2011 · author #3
  83. Gaussian Behavior in Generalized Zeckendorf Decompositions math.NT · 2011 · author #1
  84. If a prime divides a product math.HO · 2010 · author #1
  85. The `Real' Schwarz Lemma math.HO · 2010 · author #1
  86. An elliptic curve test of the L-Functions Ratios Conjecture math.NT · 2010 · author #2
  87. The Limiting Spectral Measure for Ensembles of Symmetric Block Circulant Matrices math.PR · 2010 · author #3
  88. On the number of summands in Zeckendorf decompositions math.NT · 2010 · author #3
  89. From Fibonacci Numbers to Central Limit Type Theorems math.NT · 2010 · author #1
  90. A combinatorial identity for studying Sato-Tate type problems math.CO · 2010 · author #1
  91. The lowest eigenvalue of Jacobi random matrix ensembles and Painlev\'e VI math.CA · 2010 · author #4
  92. Effective equidistribution and the Sato-Tate law for families of elliptic curves math.NT · 2010 · author #1
  93. Low-lying Zeros of Number Field $L$-functions math.NT · 2010 · author #1
  94. Distribution of Eigenvalues of Highly Palindromic Toeplitz Matrices math.PR · 2010 · author #2
  95. An Orthogonal Test of the $L$-functions Ratios Conjecture, II math.NT · 2009 · author #1
  96. A unitary test of the Ratios Conjecture math.NT · 2009 · author #3
  97. Nuclei, Primes and the Random Matrix Connection math.NT · 2009 · author #2
  98. Irrationality From The Book math.HO · 2009 · author #1
  99. Explicit constructions of infinite families of MSTD sets math.NT · 2008 · author #1
  100. Chains of distributions, hierarchical Bayesian models and Benford's Law math.PR · 2008 · author #5
  101. An Orthogonal Test of the L-Functions Ratios Conjecture math.NT · 2008 · author #1
  102. Irrationality measure and lower bounds for pi(x) math.NT · 2007 · author #3
  103. A probabilistic proof of Wallis's formula for pi math.NT · 2007 · author #1
  104. When almost all sets are difference dominated math.NT · 2007 · author #2
  105. A Symplectic Test of the L-Functions Ratios Conjecture math.NT · 2007 · author #1
  106. Lower order terms in the 1-level density for families of holomorphic cuspidal newforms math.NT · 2007 · author #1
  107. When the Cramer-Rao Inequality provides no information math.ST · 2007 · author #1
  108. The Distribution of the Largest Non-trivial Eigenvalues in Families of Random Regular Graphs math.CO · 2006 · author #1
  109. The effect of convolving families of L-functions on the underlying group symmetries math.NT · 2006 · author #2
  110. The Modulo 1 Central Limit Theorem and Benford's Law for Products math.PR · 2006 · author #1
  111. Order Statistics and Benford's Law math.PR · 2006 · author #1
  112. Closed-Form Bayesian Inferences for the Logit Model via Polynomial Expansions math.ST · 2005 · author #1
  113. Distribution of Eigenvalues of Real Symmetric Palindromic Toeplitz Matrices and Circulant Matrices math.PR · 2005 · author #2
  114. A Derivation of the Pythagorean Won-Loss Formula in Baseball math.ST · 2005 · author #1
  115. Investigations of Zeros Near the Central Point of Elliptic Curve L-Functions math.NT · 2005 · author #1
  116. Low lying zeros of L-functions with orthogonal symmetry math.NT · 2005 · author #2
  117. The Low Lying Zeros of a GL(4) and a GL(6) family of L-functions math.NT · 2005 · author #2
  118. Variation in the number of points on elliptic curves and applications to excess rank math.NT · 2005 · author #1
  119. Incomplete Quadratic Exponential Sums in Several Variables math.NT · 2004 · author #2
  120. Benford's Law, Values of L-functions and the 3x+1 Problem math.NT · 2004 · author #2
  121. Constructing Elliptic Curves over $\mathbb{Q}(T)$ with Moderate Rank math.NT · 2004 · author #2
  122. Eigenvalue Spacing Distribution for the Ensemble of Real Symmetric Toeplitz Matrices math.PR · 2003 · author #2
  123. 1- and 2-Level Densities for Rational Families of Elliptic Curves: Evidence for the Underlying Group Symmetries math.NT · 2003 · author #1

Mentions

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Frequent Coauthors