Steven J. Miller

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All published works

Action	Title	Year	Authors
+ PDF Chat	Optimal Doubling Thresholds in Backgammon-like Stochastic Games	2024	Hehua Ju Daniel Leifer Steven J. Miller S. Padmanabhan Chenyang Sun Luke Tichi Benjamin Tocher K. E. Wallace
+ PDF Chat	Black Hole Zeckendorf Games	2024	Caroline Cashman Steven J. Miller Jenna Shuffleton Donghoon Son
+ PDF Chat	A Random Matrix Model for a Family of Cusp Forms	2024	Owen Barrett Zoë X. Batterman Aditya Jambhale Steven J. Miller A. Narayanan Kishan Sharma Chris Yao
+ PDF Chat	A Survey of a Random Matrix Model for a Family of Cusp Forms	2024	Owen Barrett Zoë X. Batterman Aditya Jambhale Steven J. Miller A. Narayanan Kishan Sharma Chris Yao
+	Sums of Powers by L'Hopital's Rule	2023	Eduardo Duéñez Asimina S. Hamakiotes Steven J. Miller
+	Benford Behavior of a Higher-Dimensional Fragmentation Process	2023	Irfan Durmić Steven J. Miller
+ PDF Chat	Generalizing Zeckendorf’s Theorem to Homogeneous Linear Recurrences, I	2022	Thomas C. Martinez Steven J. Miller Clayton Mizgerd Chenyang Sun
+	Winning Strategies for Generalized Zeckendorf Games	2022	Steven J. Miller Eliel Sosis Jingkai Ye
+ PDF Chat	Walking to Infinity on the Fibonacci Sequence	2022	Steven J. Miller Fei Peng Tudor Popescu Nawapan Wattanawanichkul
+	Sums of Reciprocals of Recurrence Relations	2022	Hao Cui Xiaoyu Cui S. Davis Irfan Durmić Qingcheng Hu Lisa Liu Steven J. Miller Fengping Ren Alicia Smith Reina Eliel Sosis
+	Generalizing Zeckendorf’s Theorem to Homogeneous Linear Recurrences, II	2022	Thomas C. Martinez Steven J. Miller Clayton Mizgerd Jack Murphy Chenyang Sun
+ PDF Chat	k-Diophantine m-tuples in finite fields	2022	Trajan Hammonds Seoyoung Kim Steven J. Miller Arjun Nigam Kyle Onghai Dishant Saikia Lalit Mohan Sharma
+	On Zeckendorf Related Partitions Using The Lucas Sequence	2022	Hùng Việt Chu David C. Luo Steven J. Miller
+	Bounding Vanishing at the Central Point of Cuspidal Newforms	2022	Jiahui Li Steven J. Miller
+	Walking to Infinity on the Fibonacci Sequence	2022	Steven J. Miller Fei Peng Tudor Popescu Nawapan Wattanawanichkul
+	Benfordness of the Generalized Gamma Distribution	2022	Zelong Bi Irfan Durmić Steven J. Miller
+	Sums of Reciprocals of Recurrence Relations	2022	Hao Cui Xiaoyu Cui S. Davis Irfan Durmić Qingcheng Hu Lisa Liu Steven J. Miller Fengping Ren Alicia Smith Reina Eliel Sosis
+	Virus Dynamics on $k$-Level Starlike Graphs	2022	A. Takigawa Steven J. Miller
+	Connections of Class Numbers to the Group Structure of Generalized Pythagorean Triples	2021	Thomas Jaklitsch Thomas C. Martinez Steven J. Miller Sagnik Mukherjee
+	The Real Schwarz Lemma: The Sequel	2021	Benjamin Baily Jonathan Geller Steven J. Miller
+	Limiting Spectral Distributions of Families of Block Matrix Ensembles	2021	Teresa Dunn Henry L. Fleischmann Faye Jackson Simran Khunger Steven J. Miller Luke Reifenberg Alexander S. Shashkov Stephen G. Willis
+	Optimal Point Sets Determining Few Distinct Angles	2021	Henry L. Fleischmann Steven J. Miller Eyvindur A. Palsson Ethan Pesikoff Charles Wolf
+	Deterministic Zeckendorf Games	2020	Ruoci Li Xiaonan Li Steven J. Miller Clayton Mizgerd Chenyang Sun Dong Xia Zhyi Zhou
+ PDF Chat	Distribution of missing differences in diffsets	2020	Scott Harvey-Arnold Steven J. Miller Fei Peng
+	Modeling Random Walks to Infinity on Primes in $\mathbb{Z}[\sqrt{2}]$	2020	Bencheng Li Steven J. Miller Tudor Popescu Daniel Sarnecki Nawapan Wattanawanichkul
+	The Generalized Zeckendorf Game	2019	Paul Baird‐Smith Alyssa Epstein Kristen Flint Steven J. Miller
+	Central Limit Theorems for Gaps of Generalized Zeckendorf Decompositions	2019	Ray Li Steven J. Miller
+	Rank and Bias in Families of Hyperelliptic Curves via Nagao's Conjecture	2019	Trajan Hammonds Seoyoung C. Kim Benjamin A. Logsdon Álvaro Lozano‐Robledo Steven J. Miller
+	On algorithms to calculate integer complexity	2017	Katherine Cordwell Alyssa Epstein Anand Hemmady Steven J. Miller Eyvindur A. Palsson Aaditya Sharma Stefan Steinerberger Yen Nhi Truong Vu
+	Fourier Analysis and Benfordʼs Law	2015	Steven J. Miller
+	Leading Digit Laws on Linear Lie Groups	2015	Corey Manack Steven J. Miller
+	Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	Benford Behavior of Zeckendorf Decompositions	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller K. Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	Limiting Spectral Measures for Random Matrix Ensembles with a Polynomial Link Function	2014	Kirk Swanson Steven J. Miller Kimsy Tor Karl Winsor
+	Benford Behavior of Generalized Zeckendorf Decompositions	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	The Average Gap Distribution for Generalized Zeckendorf Decompositions	2013	Olivia Beckwith Amanda Bower Louis Gaudet Rachel Insoft Shiyu Li Steven J. Miller Philip Tosteson
+	Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets	2013	Steven J. Miller Sean Pegado Luc Robinson
+	Maass waveforms and low-lying zeros	2013	Levent Alpöge Nadine Amersi Geoffrey Iyer Oleg Lazarev Steven J. Miller Liyang Zhang
+	Most Subsets are Balanced in Finite Groups	2013	Steven J. Miller Kevin Vissuet
+	When Generalized Sumsets are Difference Dominated	2013	Virginia Hogan Steven J. Miller
+	Quadratic fields with cyclic 2-class groups	2012	Carlos Domínguez Steven J. Miller Siman Wong
+	The n-level densities of low-lying zeros of quadratic Dirichlet L-functions	2012	Jake Levinson Steven J. Miller
+	Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles	2011	Olivia Beckwith Victor Luo Steven J. Miller Karen Shen Nicholas Triantafillou
+	The `Real' Schwarz Lemma	2010	Steven J. Miller David A. Thompson
+	A combinatorial identity for studying Sato-Tate type problems	2010	Steven J. Miller M. Ram Murty Frederick W. Strauch
+	An elliptic curve test of the L-Functions Ratios Conjecture	2010	Duc Khiem Huynh Steven J. Miller Ralph Morrison
+	Distribution of Eigenvalues of Highly Palindromic Toeplitz Matrices	2010	Steven Jackson Steven J. Miller Thuy T. Pham
+	Irrationality From The Book	2009	Steven J. Miller David Montague
+	When almost all sets are difference dominated	2007	Peter Hegarty Steven J. Miller
+	When the Cramer-Rao Inequality provides no information	2007	Steven J. Miller
+	The Distribution of the Largest Non-trivial Eigenvalues in Families of Random Regular Graphs	2006	Steven J. Miller Tim Novikoff Anthony Sabelli

Common Coauthors

Coauthor	Papers Together
Irfan Durmić	4
Chenyang Sun	4
Caroline L. Turnage‐Butterbaugh	3
Clayton Mizgerd	3
Kimsy Tor	3
Tudor Popescu	3
Thomas C. Martinez	3
Madeleine Weinstein	3
Patrick Dynes	3
Andrew Best	3
Eliel Sosis	3
Nawapan Wattanawanichkul	3
Xixi Edelsbrunner	3
Aditya Jambhale	2
Qingcheng Hu	2
Fei Peng	2
Trajan Hammonds	2
A. Narayanan	2
Kishan Sharma	2
Lisa Liu	2
Xiaoyu Cui	2
Chris Yao	2
Alicia Smith Reina	2
Zoë Batterman	2
Fengping Ren	2
Olivia Beckwith	2
Henry L. Fleischmann	2
Hao Cui	2
Brian McDonald	2
S. Davis	2
Owen Barrett	2
Eyvindur A. Palsson	2
Stephen G. Willis	1
Duc Khiem Huynh	1
Peter Hegarty	1
Zelong Bi	1
Luc Robinson	1
Aaditya Sharma	1
Teresa Dunn	1
Corey Manack	1
David Montague	1
K. E. Wallace	1
Paul Baird‐Smith	1
Scott Harvey-Arnold	1
Benjamin A. Logsdon	1
M. Ram Murty	1
Luke Reifenberg	1
Brian McDonald	1
Arjun Nigam	1
Siman Wong	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	From Fibonacci numbers to central limit type theorems	2012	Steven J. Miller Yinghui Wang	7
+	Generalizations Of Zeckendorf’s Theorem	1972	T. Keller	7
+	A Counting Based Proof of The Generalized Zeckendorf's Theorem	2006	Tamás Lengyel	6
+	Contributions to digit expansions with respect to linear recurrences	1990	Peter J. Grabner Robert F. Tichy	6
+	Generalized Zeckendorf expansions	1994	Peter J. Grabner Robert F. Tichy István Nemes A. Pethö	6
+ PDF Chat	On the Number of Summands in Zeckendorf Decompositions	2011	Murat Koloğlu Gene S. Kopp Steven J. Miller Yinghui Wang	5
+ PDF Chat	The distribution of the sum-of-digits function	1998	Michael Drmota Johannes Gajdosik	5
+	Distribution properties of digital expansions arising from linear recurrences	2003	Mario Lamberger Jörg Μ. Thuswaldner	4
+	Generalizing Zeckendorf’s Theorem: The Kentucky Sequence	2014	Minerva Catral Pari L. Ford Pamela E. Harris Steven J. Miller Dawn Nelson	4
+	On the number of summands in Zeckendorf decompositions	2010	Murat Koloğlu Gene S. Kopp Steven J. Miller Yinghui Wang	4
+	The Average Gap Distribution for Generalized Zeckendorf Decompositions	2013	Olivia Beckwith Amanda Bower Louis Gaudet Rachel Insoft Shiyu Li Steven J. Miller Philip Tosteson	4
+	Generalizing Zeckendorf's Theorem to f -decompositions	2014	Philippe Demontigny Thao Do Archit Kulkarni Steven J. Miller David Moon Umang Varma	4
+ PDF Chat	Parry expansions of polynomial sequences	2002	Wolfgang Steiner	4
+	Differences of Multiple Fibonacci Numbers	2009	Hannah Alpert	4
+ PDF Chat	A generalization of a theorem of Lekkerkerker to Ostrowski's decomposition of natural numbers	2012	Edward B. Burger David C. Clyde Cory H. Colbert Gea Hyun Shin Zhaoning Wang	3
+ PDF Chat	Gaussian Behavior in Generalized Zeckendorf Decompositions	2014	Steven J. Miller Yinghui Wang	3
+	Corrigendum to “generalized Zeckendorf expansions”	1994	Piero Filipponi Peter J. Grabner István Nemes A. Pethö Robert F. Tichy	3
+	Fibonacci and Lucas Numbers with Applications	2001	Thomas Koshy	3
+	Representing Positive Integers as a Sum of Linear Recurrence Sequences	2012	Nathan Hamlin William A. Webb	2
+	The Average Gap Distribution for Generalized Zeckendorf Decompositions	2012	Olivia Beckwith Amanda Bower Louis Gaudet Rachel Insoft Shiyu Li Steven J. Miller Philip Tosteson	2
+	An Invitation to Modern Number Theory	2006	Steven J. Miller Ramin Takloo-Bighash	2
+	Systems of Numeration	1985	Aviezri S. Fraenkel	2
+	New Behavior in Legal Decompositions Arising from Non-positive Linear Recurrences	2016	Minerva Catral Pari L. Ford Pamela E. Harris Steven J. Miller Dawn Nelson Zhao Pan Huanzhong Xu	2
+ PDF Chat	Individual Gap Measures from Generalized Zeckendorf Degompositions	2017	Robert Dorward Pari L. Ford Eva Fourakis Pamela E. Harris Steven J. Miller Eyvindur A. Palsson Hannah Paugh	2
+ PDF Chat	A Probabilistic Approach to Generalized Zeckendorf Decompositions	2016	Iddo Ben-Ari Steven J. Miller	2
+ PDF Chat	Generalizing Zeckendorf’s Theorem to Homogeneous Linear Recurrences, I	2022	Thomas C. Martinez Steven J. Miller Clayton Mizgerd Chenyang Sun	2
+	Generalizing Zeckendorf’s Theorem to Homogeneous Linear Recurrences, II	2022	Thomas C. Martinez Steven J. Miller Clayton Mizgerd Jack Murphy Chenyang Sun	2
+	The distribution of gaps between summands in generalized Zeckendorf decompositions	2015	Amanda Bower Rachel Insoft Shiyu Li Steven J. Miller Philip Tosteson	2
+	Legal Decompositions Arising from Non-Positive Linear Recurrences	2016	Minerva Catral Pari L. Ford Pamela E. Harris Steven J. Miller Dawn Nelson	2
+ PDF Chat	New Behavior in Legal Decompositions Arising from Non-Positive Linear Recurrences	2017	Minerva Catral Pari L. Ford Pamela E. Harris Steven J. Miller Dawn Nelson Zhao Pan Huanzhong Xu	2
+	On the sum of reciprocal Tribonacci numbers.	2011	Takao Komatsu	1
+	On the Square Roots of Triangular Numbers	1999	Ajay Kumar Behera G. K. Panda	1
+	Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein	1
+	Legal Decompositions Arising from Non-positive Linear Recurrences	2016	Minerva Catral Pari L. Ford Pamela E. Harris Steven J. Miller Dawn Nelson	1
+	There are only finitely many Diophantine quintuples	2004	Andrej Dujella	1
+	There is no Diophantine quintuple	2018	Bo He Alain Togbé Volker Ziegler	1
+	Nonexistence of D(4)-quintuples	2018	Marija Bliznac Trebješanin Alan Filipin	1
+ PDF Chat	Diophantine quadruples in the ring of integers of the pure cubic field $Q(\sqrt[3]{2})$	2013	Zrinka Franušić	1
+	Some rational Diophantine sextuples	2006	Philip Gibbs	1
+	On the Sum of Reciprocal Fibonacci Numbers	2008	Hideyuki Ohtsuka Shigeru Nakamura	1
+ PDF Chat	A Generalization of Fibonacci Far-Difference Representations and Gaussian Behavior	2014	Philippe Demontigny Thao Do Archit Kulkarni Steven J. Miller Umang Varma	1
+	The Zeckendorf Game	2019	Paul Baird‐Smith Alyssa Epstein Kristen Flint Steven J. Miller	1
+	Reciprocal Sums of the Tribonacci Numbers.	2016	Pornpawee Anantakitpaisal Kantaphon Kuhapatanakul	1
+ PDF Chat	There Are Infinitely Many Rational Diophantine Sextuples	2016	Andrej Dujella Matija Kazalicki Miljen Mikić Márton Szikszai	1
+ PDF Chat	There is no Diophantine D(−1)$D(-1)$‐quadruple	2022	Nicolae Ciprian Bonciocat Mihai Cipu Maurice Mignotte	1
+ PDF Chat	A Classical Introduction to Modern Number Theory	1990	Kenneth Ireland Michael Rosen	1
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	1
+	History of the theory of numbers	1919	L. E. Dickson	1
+	Binet's formula for generalized tribonacci numbers	2015	José L. Cereceda	1
+	A Stroll Through the Gaussian Primes	1998	Ellen Gethner Stan Wagon Brian D. Wick	1