Steven J. Miller

Mathematical Physics · 2003–2013

A researcher in the Science corpus: 10 papers; trusts 15 researchers and is trusted by 8 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 17 citations into it; #7,488 of 8,562 by trust here, #8,320 by citations
• Algebra and Number Theory — 14 citations into it; #2,430 of 2,864 by trust here, #2,772 by citations
• Geometry and Topology — 12 citations into it; #6,331 of 7,422 by trust here, #7,222 by citations
• Statistics and Probability — 12 citations into it; #4,652 of 12,932 by trust here, #6,853 by citations
• Discrete Mathematics and Combinatorics — 7 citations into it; #815 of 2,017 by trust here, #1,382 by citations

Whom Steven J. Miller trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. D. R. Heath-Brown
2. Jon P Keating
3. J. Brian Conrey
4. M. Young
5. N. Snaith
6. C. Breuil
7. Michael O. Rubinstein
8. Christopher N. B. Hammond
9. Wlodzimierz Bryc
10. Nicholas M. Katz

Who trusts Steven J. Miller overall

1. Peter Sarnak
2. Emmanuel Kowalski
3. M. Young
4. Arup Bose
5. Mark W. Meckes
6. S. Shin
7. Abhishek Saha
8. Z. Rudnick
9. Nicolas Templier
10. Jacob Tsimerman

Papers from Steven J. Miller's perspective

Ordered by how strongly the researchers Steven J. Miller trusts endorse each paper. Same corpus, a different order for every researcher.

1. Random Matrix Theory and L-Functions at s= 1/2
2. On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises (Journal of The American Mathematical Society)
3. The average rank of elliptic curves
4. One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries (Compositio Mathematica)
5. Low-lying zeros of families of elliptic curves
6. Introduction to: 1- and 2-Level Densities for Families of Elliptic Curves: Evidence for the Underlying Group Symmetries
7. Integral Moments of L‐Functions
8. An Introduction to Probability Theory and Its Applications
9. The Art of Computer Programming
10. Distribution of Eigenvalues for the Ensemble of Real Symmetric Toeplitz Matrices

Their papers

• Benford's law, values of L-functions and the 3x+1 problem (2004) — 57 citations
• Distribution of Eigenvalues for the Ensemble of Real Symmetric Toeplitz Matrices (2005) — 74 citations
• Distribution of Eigenvalues of Real Symmetric Palindromic Toeplitz Matrices and Circulant Matrices (2005) — 48 citations
• Generalizing Zeckendorf's Theorem to f-decompositions (2013) — 53 citations
• On the Number of Summands in Zeckendorf Decompositions (2010) — 65 citations
• A Symplectic Test of the L-Functions Ratios Conjecture (2007) — 50 citations
• Benford’s Law Applied to Hydrology Data—Results and Relevance to Other Geophysical Data (2007) — 112 citations
• A Derivation of the Pythagorean Won-Loss Formula in Baseball (2005) — 73 citations
• One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries (2003) — 107 citations
• Introduction to: 1- and 2-Level Densities for Families of Elliptic Curves: Evidence for the Underlying Group Symmetries (2003) — 81 citations