Tom Edgar

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All published works

Action	Title	Year	Authors
+	Sum of Cubes	2024	Tom Edgar
+	Two Geometric Series	2023	Tom Edgar
+	Balancing the Square Root of Two	2023	Tom Edgar
+	Balancing Magic with Mathematics	2023	Tom Edgar
+	On Magic and Math—A Conversation with Matt Baker	2023	Tom Edgar
+	Balanced and Unbalanced: Physical Proofs of the Mean Inequalities	2023	Tom Edgar
+	Math Horizons Accolades	2022	Tom Edgar
+	Euler Bricks	2022	Tom Edgar
+	Visual Triangular Number Identities from Positional Number Systems	2021	Tom Edgar
+	Mage Merlin’s Unsolved Mathematical Mysteries	2021	Tom Edgar
+	Binomial Coefficients Modulo Primes	2020	Tom Edgar
+	Thanks for Twenty-Four	2020	Tom Edgar
+	Some Combinatorics of Factorial Base Representations.	2020	Tyler Ball Joanne Beckford Paul Dalenberg Tom Edgar Tina Rajabi
+	Visual Decompositions of Polygonal Numbers	2019	Tom Edgar
+	A Visual Proof of Gregory’s Theorem	2019	Tom Edgar David Richeson
+	Some combinatorics from Zeckendorf representations	2019	Tyler Ball Rachel Chaiser Dean Dustin Tom Edgar Paul Lagarde
+	“Sum” Visual Rearrangements of the Alternating Harmonic Series	2019	Yajun An Tom Edgar
+	Proof Without Words: Sums of Even and Odd Powers	2019	Tom Edgar
+	The First 100 Issues	2018	Tom Edgar
+	Proof Without Words: Abel’s Transformation	2018	Yajun An Tom Edgar
+	Counting Binomial Coefficients Divisible by a Prime Power	2018	Philip de Castro Desiree Domini Tom Edgar Devon M. Johnson Steven Klee Ranjani Sundaresan
+	On the Number of Hyper m-ary Partitions.	2018	Tom Edgar
+	Proof Without Words: Rearranged Alternating Harmonic Series	2017	Yajun An Tom Edgar
+ PDF Chat	The distribution of the number of parts of $m$-ary partitions modulo $m$	2017	Tom Edgar
+	Proof Without Words: Series of Perfect Powers	2017	Tom Edgar
+	Proof Without Words: A Recursion for Triangular Numbers and More	2017	Tom Edgar
+	A Visual Validation of Viète's Verification	2017	Tom Edgar N. Chris Meyer
+	Proof Without Words: Factorial Sums	2016	Tom Edgar
+	100.35 Proof without words: the average of square pyramidal and triangular is tetrahedral	2016	Tom Edgar
+	Proof Without Words: Sums of Powers of	2016	Tom Edgar
+	Proof Without Words: Sums of Reciprocals of Binomial Coefficients	2016	Tom Edgar
+	Proof Without Words: Matchstick Triangles	2016	Tom Edgar
+	The distribution of the number of parts of $m$-ary partitions modulo $m$	2016	Tom Edgar
+	Extending some Fibonacci-Lucas Relations	2016	Tom Edgar
+	Multiplicative Functions Generalized Binomial Coefficients, and Generalized Catalan Numbers.	2016	Tom Edgar Michael Z. Spivey
+	The distribution of the number of parts of $m$-ary partitions modulo $m$	2016	Tom Edgar
+	On the Structure of Involutions and Symmetric Spaces of Dihedral Groups	2015	Katrina K. A. Cunningham Tom Edgar Aloysius G. Helminck Benjamin F. Jones Hyunju Oh Rachel Schwell Jennifer F. Vasquez
+	Cryptographic Word Search	2014	Tom Edgar Andrew W. Lloyd
+	Dominance Orders, Generalized Binomial Coefficients, and Kummer's Theorem	2014	Tyler Ball Tom Edgar Daniel Juda
+	Universal Reflection Subgroups and Exponential Growth in Coxeter Groups	2013	Tom Edgar
+	On the Structure of Involutions and Symmetric Spaces of Dihedral Groups	2012	Katrina K. A. Cunningham Tom Edgar Aloysius G. Helminck Benjamin F. Jones Hyunju Oh Rachel Schwell Jennifer F. Vasquez
+	On the Structure of Involutions and Symmetric Spaces of Dihedral Groups	2012	Katrina K. A. Cunningham Tom Edgar Aloysius G. Helminck Benjamin F. Jones Hyun-Ju Oh Rachel Schwell Jennifer F. Vasquez
+	A case-free characterization of hyperbolic Coxeter systems	2011	Tom Edgar
+	A case-free characterization of hyperbolic Coxeter systems	2011	Tom Edgar
+ PDF Chat	Reduced expressions in semidirect products of Coxeter groups	2009	Tom Edgar
+	Dominance and regularity in Coxeter groups	2009	Tom Edgar
+ PDF Chat	Sets of reflections defining twisted Bruhat orders	2007	Tom Edgar

Common Coauthors

Coauthor	Papers Together
Yajun An	3
Benjamin F. Jones	3
Jennifer F. Vasquez	3
Tyler Ball	3
Rachel Schwell	3
Katrina K. A. Cunningham	3
Aloysius G. Helminck	3
Hyunju Oh	2
Daniel Juda	1
Devon M. Johnson	1
Paul Dalenberg	1
N. Chris Meyer	1
Andrew W. Lloyd	1
Dean Dustin	1
Desiree Domini	1
Hyun-Ju Oh	1
Paul Lagarde	1
Michael Z. Spivey	1
Rachel Chaiser	1
David Richeson	1
Joanne Beckford	1
Philip de Castro	1
Ranjani Sundaresan	1
Tina Rajabi	1
Steven Klee	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	REFLECTION GROUPS AND COXETER GROUPS (Cambridge Studies in Advanced Mathematics 29)	1991	R. W. Carter	5
+	Dominance Orders, Generalized Binomial Coefficients, and Kummer's Theorem	2014	Tyler Ball Tom Edgar Daniel Juda	4
+	Binomial Coefficients Modulo a Prime	1947	N. J. Fine	4
+	Combinatorics of Coxeter Groups	2005	Anders Björner Francesco Brenti	3
+	Reflection Groups and Coxeter Groups	1990	James E. Humphreys	3
+ PDF Chat	The On-Line Encyclopedia of Integer Sequences	2007	N. J. A. Sloane	3
+	Reflection subgroups of Coxeter systems	1990	Matthew Dyer	3
+	Some linear groups virtually having a free quotient.	2000	G. A. Margulis É. B. Vinberg	2
+	On Rationality Properties of Involutions of Reductive Groups	1993	Aloysius G. Helminck S.P. Wang	2
+	Congruence properties of the m-ary partition function	1971	George E. Andrews	2
+	Hecke algebras and shellings of Bruhat intervals	1993	Matthew Dyer	2
+	Some combinatorics from Zeckendorf representations	2019	Tyler Ball Rachel Chaiser Dean Dustin Tom Edgar Paul Lagarde	2
+ PDF Chat	Combinatorial Proofs of Fermat's, Lucas's, and Wilson's Theorems	2005	Peter G. Anderson Arthur T. Benjamin Jeremy Rouse	2
+	The Set of Dominance-Minimal Roots	1998	Brigitte Brink	2
+	Proof Without Words: The Alternating Harmonic Series Sums to ln 2	2010	Matt Hudelson	2
+	Congruence properties of the binary partition function	1969	R. F. Churchhouse	2
+	Characterizing the Number of <em>m</em>-ary Partitions Modulo <em>m</em>	2015	George E. Andrews Aviezri S. Fraenkel James A. Sellers	2
+	On the root system of a coxeter group	1982	Vinay V. Deodhar	2
+	Counting Binomial Coefficients Divisible by a Prime Power	2018	Philip de Castro Desiree Domini Tom Edgar Devon M. Johnson Steven Klee Ranjani Sundaresan	2
+	The power of a prime that divides a generalized binomial coefficient.	1989	Herbert S. Wilf Donald E. Knuth	2
+ PDF Chat	On Growth Types of Quotients of Coxeter Groups by Parabolic Subgroups	2008	Sankaran Viswanath	2
+	Recounting the Rationals	2000	Neil J. Calkin Herbert S. Wilf	2
+	On <i>m</i>-ary partitions	1972	Hansraj Gupta	2
+	Certain Mathematical Achievements of James Gregory	1943	Max Dehn Ernst Hellinger	1
+	Proof without Words: Sum of Reciprocals of triangular numbers	1991	Roger B. Nelsen	1
+	Can Every Triangle Be Divided into <i>n</i> Triangles Similar to It?	1970	Raymond W. Freese Ann Miller Zalman Usiskin	1
+ PDF Chat	On the Number of Binomial Coefficients which are Divisible by their Row Number	1982	Neville Robbins	1
+	Systems of Numeration	1985	Aviezri S. Fraenkel	1
+	The Rational Cuboid Revisited	1977	John Leech	1
+	Divisibility of Binomial Coefficients by their Row Number	1977	Heiko Harborth	1
+	A New Fibonacci–Lucas Relation	2015	Marques	1
+	Dominance and regularity in Coxeter groups	2009	Tom Edgar	1
+	A Polynomial Parent to a Fibonacci–Lucas Relation	2014	B. Sury	1
+	An Alternate Proof of Sury’s Fibonacci–Lucas Relation	2014	Harris Kwong	1
+	A Viscosity Proof of the Cauchy–Schwarz Inequality	2015	Tadashi Tokieda	1
+	Proof Without Words: Powers of Three and Triangular Numbers	2016	Chris Leach	1
+ PDF Chat	Viète, Descartes and the cubic equation	2006	R. W. D. Nickalls	1
+	Journey through Mathematics	2011	Enrique A. González-Velasco	1
+	92.34 The cubic equation - a new look at the irreducible case	2008	I. J. Zucker	1
+	Proof Without Words: Factorial Sums	2016	Tom Edgar	1
+	Behavior of Digital Sequences Through Exotic Numeration Systems	2017	Julien Leroy Michel Rigo Manon Stipulanti	1
+	Proof Without Words: Series of Reciprocals of Tetrahedral Numbers	2015	Günhan Çağlayan	1
+	Finding sums of powers using physical arguments	2017	David Treeby	1
+	Arithmetic properties for hyper -ary partition functions.	2004	Kevin M. Courtright James A. Sellers	1
+	Proof Without Words: An Electrical Proof of the AM-HM Inequality	2014	Alfred Witkowski	1
+	Extending a Recent Result in Hyper m -ary Partition Sequences	2017	Timothy B. Flowers Shannon Lockard	1
+	A Dissection Proof of Leibniz's Series for π/4	2014	Mitsuo KOBAYASHI	1
+	Cardano, <i>Casus Irreducibilis</i>, and Finite Fields	2014	Matt D. Lunsford	1
+	Proof Without Words: Rearranged Alternating Harmonic Series	2017	Yajun An Tom Edgar	1
+	Proof without words: Sum of squares	1983	James O. Chilaka	1