American Mathematical Monthly

Article	Citations
Reviews	9
A Dynamic Kelly Criterion for Games with a Maximum Payout	8
Problems and Solutions	8
100 Years Ago This Month in The American Mathematical Monthly	6
The Mathematical Community Working To Create Better (And Free!) Textbooks	5
My Friend Abe Shenitzer	5
The Altitudes of a Triangle	5
Gaussian Binomial Coefficients in Group Theory, Field Theory, and Topology	4
A Generalization of Schatunowsky’s Theorem	4
Gardener’s Hyperbolas and the Dragged-Point Principle	4
Cauchy–Schwarz Inequality for Differences Revisited	4
Pentagram Configurations for Pentagons and Hexagons	4
100 Years Ago This Month in The American Mathematical Monthly	4
Polynomial Approximations to Continuous Functions	4
Six Houses and Three Utilities on A Coffee Mug	4
Moon in a Puddle and the Four-Vertex Theorem	4
Problems and Solutions	4
100 Years Ago This Month in The American Mathematical Monthly	3
Romance of Mathematics	3
A Jeep Crossing a Desert of Unknown Width	3
Tessellations: Mathematics, Art, and Recreation	3
Optimizing for the Rupert Property	3
The Fundamental Theorem of Algebra Via Newton’s Identities	3
Tiling with Monotone Polyominos	3
Problems and Solutions	3

Lucky Cars: Expected Values and Generating Functions	2
On Liouville’s Theorem for Conformal Maps	2
A New Theorem for Mixed Partial Derivatives	2
A Tale of Two Cyclicities: Counting in Finite Cyclic Groups and Finite Fields	2
On a Geometry Problem in Plato’s Meno	2
Problems and Solutions	2
In Search of Comrade Agronomof: Some Tribonacci History	2
A Number System with Base	2
Reviews	2
Using Ultrafilters to Prove Ramsey-type Theorems	2
The Abel–Ruffini Theorem: Complex but Not Complicated	2
On Erdős’s Proof of the Existence of Cages	2
A New Polygonal Number Theorem	2
The Game of Cycles	2
A Combinatorial Proof of the Existence of Dense Subsets in ℝ without the “Steinhaus” like Property	2
When Does F(αd) = F(α)?	1
Problems and Solutions	1
Continuous Maps Admitting No Tangent Lines: A Centennial of Besicovitch Functions	1
100 Years Ago This Month in The American Mathematical Monthly	1
Abbott Dimension, Mathematics Inspired by Flatland	1
A Shortcut to the Cauchy Integral Theorem	1
Problems and Solutions	1
100 Years Ago This Month in The American Mathematical Monthly	1
Which Finite Rings Have the Most or Fewest Units?	1
The Eighty-Second William Lowell Putnam Mathematical Competition	1
A Thābit-like Extension of the Pythagorean Theorem	1
The Poetry of Category Theory	1
The Discrete Theorema Egregium	1
An Inequality of a Matrix with a Unit Vector	1
Monthly Referees for 2022	1
A Third Real Solution to x=x−1, Not Really	1
Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts	1
Topology Meets Number Theory	1
Problems and Solutions	1
More on the Cauchy–Schwarz Inequality	1
Galileo’s Swiftest Descent Problem Revisited: Complete Analytic Solution	1
A Short and Elementary Proof of the Central Limit Theorem by Individual Swapping	1
Problems and Solutions	1
The Fundamental Theorem of Finite Fields: A Proof from First Principles	1
A Derivation of the Infinitude of Primes	1
Reviews	1
Integers as Sums of Four Tetrahedral Numbers and Eight Pentatope Numbers in One Identity	1
Fourier Series for Nonperiodic Functions	1
Problems and Solutions	1
Yet Another Proof of the Strong Law of Large Numbers	1
Following in Yiu’s Footsteps but on the Eisenstein Lattice	1
100 Years Ago This Month in The American Mathematical Monthly	1
Five or Ten New Proofs of the Pythagorean Theorem	1
The Digital Rubáiyát	1
Problems and Solutions	1

Polynomials Whose Zeros Are Powers of a Given Polynomial’s Zeros	1
Reviews	1
On the Primorial Counting Function	1
Faculty Seminar	1
Introduction to the Special Issue	1
A Model for Birdwatching and other Chronological Sampling Activities	1
Sharp Effective Finite-Field Nullstellensatz	1
A Gambler that Bets Forever and the Strong Law of Large Numbers	1
When I Knew Math Was Mine	1
Lagrange Points and the James Webb Space Telescope	1
Sports Analytics Double Take: The Need for Multiple Perspectives on Data	1
Summation Using an Expected Value Identity	1
100 Years Ago This Month in The American Mathematical Monthly	1
Parallelogram Law and Sum of Squares	1
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything ElseShape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else. By JordanEllen	1
Water-Based Proof of Jensen’s Inequality	1
A Geometric Summation of the Geometric Series	1
The Simplest Unlimited-Player Game of Skill	1
Launching a Data Analytics Major: How Collaboration and Agility Built a Successful Program	1
The Paul R. Halmos–Lester R. Ford Awards for 2020	1
The Binomial Coefficient as an (In)finite Sum of Sinc Functions	1
Problems and Solutions	1
100 Years Ago This Month in The American Mathematical Monthly	1
Euclidean Rings of S -integers in Complex Quadratic Fields	1
PROBLEMS AND SOLUTIONS	1
Diagonalization Games	1
Editor’s Endnotes	1
Counting Zeros of Random Functions	0
Optimizing and Factorizing the Wilson Matrix	0
Collective Evolution Under Catastrophes	0
Euler’s Inequality for Circumradius and Inradius	0
The Matrix Equation X 3 + Y 3 = 2 Z 3	0
Some Applications of the Maynard–Tao Theorem	0
Spandrelized Tilings	0
Quasirandom Graphs and the Pantograph Equation	0
Construction of an Iterated Function System on ℝ 2 whose Attractor is a QR Code	0
Algebraic Relations Between Sine and Cosine Values	0
A Remark on the Ratio of Consecutive Primes	0
Reviews	0
A More Malicious Maitre d’	0
Reciprocity via Reciprocants	0
Reconstructing Signals from Aperture-Filtered Samples	0
N-Player Final-Offer Arbitration: Harmonic Numbers in Equilibrium	0
A Couple of Transcendental Prime-Representing Constants	0
Reviews	0
Regular Patterns of Quadratic Residues	0
Polynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer	0
What Type of Apollonian Circle Packing Will Appear?	0
A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode	0
Least Primitive Root of any Safe Prime is Prime	0
100 Years Ago This Month in The American Mathematical Monthly	0
Lagrange Inversion Formula by Induction	0
The Factor Ring Structure of Quadratic Principal Ideal Domains	0
A New Perspective on Impartial and Unbiased Apportionment	0
A Pigeon Hole Proof of the Infinitude of Primes	0
March Madness Magic: Constructing a Tournament with a Magic Cube	0
Correction	0
A Quixotic Proof of Fermat’s Two Squares Theorem for Prime Numbers	0
A Napoleon-like Theorem for Quadrilaterals	0
Sums of Two Squares Visualized	0
Conway’s Spiral and a Discrete Gömböc with 21 Point Masses	0
Finite Abelian Groups via Congruences	0
You Probably Won’t Believe It, But 3(1+φ − φ−1) = 3!	0
Newton’s Method Without Division	0
100 Years Ago This Month in The American Mathematical Monthly	0
On Experimental Mathematics and Mathematics Education	0
The Poincaré Exponent and the Dimensions of Kleinian Limit Sets	0
What Is the Shape of a Cupola?	0
Problems and Solutions	0
100 Years Ago This Month in The American Mathematical Monthly	0
An “Esoteric” Proof of Gelin-Cesàro Identity	0
Travel in an Infinite Desert	0
Letter from the Editor	0
Invariance of the Area and Volume of Cycloid Surfaces and Trochoid Surfaces	0
An Ancient Combinatorial Problem	0
The Possible Asylum	0
How Many Homeomorphisms are “Many Homeomorphisms”?	0
Apéry Limits: Experiments and Proofs	0
On Nonnegativity of the Generalized Discriminants of Quadratics	0
Much Virtue in “If”	0

An Arithmetic-Geometric Proof of the Arithmetic-Geometric Inequality	0
Reviews I Died for Beauty: Dorothy Wrinch and the Cultures of Science . By Marjorie Senechal, Oxford University Press, 2012. 312 pp., ISBN 978-0199732593, $57.00.	0
The Powers of Certain Number-Theoretic Matrices	0
100 Years Ago This Month in The American Mathematical Monthly	0
From Abel’s Binomial Theorem to Cayley’s Tree Formula	0
Reviews	0
Math Games With Bad Drawings: 75 Simple, Challenging, Go-Anywhere Games—And Why They Matter	0
Reviews	0
Inventing the Mathematician: Gender, Race, and Our Cultural Understanding of Mathematics	0
Vieta’s Formula, the Fabius Function and the Partition Function	0
Problems and Solutions	0
The Power of the Half Power	0
A Remarkable Summation Formula, Lattice Tilings, and Fluctuations	0
Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers	0
A Prime Testing Algorithm from Leonhard Euler	0
Duelling Idiots and Abel Sums	0
Modeling & Optimization for Streaming Listening Demand	0
Letter from the Editor	0
Problems and Solutions	0
Freely Independent Coin Tosses, Standard Young Tableaux, and the Kesten–McKay Law	0
What Do Networks and Elliptic Curves Have in Common?	0
MONTHLY REFEREES FOR 2021	0
Problems and Solutions	0
Invariance of the Cauchy Family Under Linear Fractional Transformations	0
Reviews	0
Reviews	0
A Second Raabe’s Test and Other Series Tests	0
Pollock’s Generalized Tetrahedral Numbers Conjecture	0
Problems and Solutions	0
On the Complex Descartes Circle Theorem	0
AGM and Jellyfish Swarms of Elliptic Curves	0
The Maximum Number of Appearances of a Word in a Grid	0
Odd-Period Cycles of the Logistic Map	0
The Fundamental Theorem of Algebra via Real Polynomials	0
The Subseries are Dense in the Basel Problem	0
Euclid after Computer Proof-Checking	0
The Birational Geometry of Ceva’s Theorem	0
Bounded Hanoi	0
Edelstein’s Astonishing Affine Isometry	0
Solving Algebraic Equations by Completing Powers	0
Problems and Solutions	0
Diversity, Identity, and Data	0
The Pentagonal Pizza Conjecture	0
An Elementary Proof of Takagi’s Theorem on the Differential Composition of Polynomials	0
A Product of Two Primes with Difference 2	0
Inellipses of Convex Polygons, Brianchon’s Theorem, and Bradley’s Theorem	0
The Character of Convergence of the Cauchy Product	0
100 Years Ago This Month in The American Mathematical Monthly	0
On the Divisibility a! + b! | (a + b)!	0
The Green-Tao Theorem and the Infinitude of Primes in Domains	0
Ghostly Irrational Numbers	0
A Conjecture on Primes in Arithmetic Progressions and Geometric Intervals	0
Problems and Solutions	0
Inscribing Spheres in Topologically Embedded Simplices	0
On Parking Functions and The Tower of Hanoi	0
Legendre’s Singular Modulus	0
Intrinsic Geometries of the Simple Group of Order 168	0
On the Topology of Punctured Spaces	0
Reviews	0
Jordan’s Inequality — as Sharp as You Please	0
Using a SAT Solver to Find Interesting Sets of Nonstandard Dice	0
Lucky Cars and the Quicksort Algorithm	0
Encyclopedia of Knot Theory	0
Reviews	0
The Area Under the Witch of Agnesi	0
Frobenius Integrability, Automotive Blind Spots, Non-reversing Mirrors, and Panoramic Mirrors	0
Gagliardo-Nirenberg-Sobolev Inequality: An Induction Proof	0
Convex Bodies with Equipotential Circles	0
Divisibility Graphs and Modular Multiplication Tables	0
Laws of Exponents by Differentiation	0
Reviews	0
New Properties of Triangular Orbits in Elliptic Billiards	0
Pythagorean Boxes and Quotients of Gaussian Integers	0
The Basel Problem and the Fundamental Theorem of Calculus	0
The Paul R. Halmos–Lester R. Ford Awards for 2022	0
What Can You Draw?	0
How to Tee a Hyperplane	0
Correction	0
New Primality Criterion Based on Lucas Sequences	0
Celebrating Herbert Slaught’s “Romance of Mathematics”	0
The Composition of Polynomials is a Determinant	0
Vertex to Vertex Geodesics on Platonic Solids	0
If Rm ≅ Rn must m = n?	0
“The Riddle of the Ages”: James Joseph Sylvester and the Transcendence of π	0
Problems and Solutions	0
Factoring Variants of Chebyshev Polynomials of the First and Second Kinds with Minimal Polynomials of cos(2π/d)	0
An Upper Bound on the Size of Sidon Sets	0
A Short Proof for the Volume of Square Pyramids	0
Unlocking Your Bike the Easy Way	0
A Friendly Introduction to Path Algebras and Quiver Representations	0
Reviews Graph Theory in America: The First Hundred Years . By Robin Wilson, John J. Watkins, and David J. Parks, Princeton University Press, 2023. 320 pp., ISBN 978-0691	0
An Equilateral Triangle of Side > n Cannot be Covered by n 2 + 1 Unit Equilateral Triangles Homothetic to it	0
100 Years Ago This Month in The American Mathematical Monthly	0
Ten Points on a Cubic	0
A Simple Construction of Fat Cantor Sets	0