Experimental Mathematics

Article	Citations
Foreword to: Special Issue on Interactive Theorem Provers	10
Convolution and Square in Abelian Groups I	10
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct	8
Facets in the Vietoris–Rips Complexes of Hypercubes	7
An Interpolation From Sol to Hyperbolic Space	7
Universality of Nodal Count Distribution in Large Metric Graphs	7
Orbits on K3 Surfaces of Markoff Type	6
Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL	6
The Descendants of the 3d-Index	5
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases	5
The Weak Lefschetz Property and Unimodality of Hilbert Functions of Random Monomial Algebras	5
Recovery from Power Sums	5
Representations of Deligne-Mostow lattices into	4
Topological Bounds on Hyperkähler Manifolds	4
Intersection Numbers on Fibrations and Catalan Numbers	4
Earthquakes on the Once-Punctured Torus	4
Empirical Properties of Optima in Free Semidefinite Programs	4
L-space knots with tunnel number >1 by experiment	4
Density of Binary Disc Packings: Lower and Upper Bounds	4
Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes	4
Continued Fractions, Orthogonal Polynomials and Dirichlet Series	4
The 4 × 4 Orthostochastic Variety	3
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups	3
Enumeration on Convex Configurations of Lucky Puzzle	3
On Subgroups Finite Index in Complex Hyperbolic Lattice Triangle Groups	3

Computation of the Taut, the Veering and the Teichmüller Polynomials	3
Minimal Nonsolvable Bieberbach Groups	2
Infinitely Many Knots With NonIntegral Trace	2
There are Salem Numbers with Trace –3 and Every Degree At Least 34	2
A Family of Horn-Bernstein Functions	2
No Eleventh Conditional Ingleton Inequality	2
Ray-Marching Thurston Geometries	2
On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices	2
Algorithmic Symplectic Packing	2
Kronecker Sequences with Many Distances	2
Heuristics for 2-class Towers of Cyclic Cubic Fields	2
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces	2
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums	2
diffstrata—A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials	2
Dynamics of Zeroes Under Repeated Differentiation	2
Zeros of Fractional Derivatives of Polynomials	2
Fast Algorithm for Multiplication on the Skein Algebra of One-Hole Torus	1
A Zero Minor Solves the Elliptic Curve Discrete Logarithm Problem	1
The Schwarzian Derivative and the Degree of a Classical Minimal Surface	1
Zeta Functions of Lie Algebras Over Finite Fields	1
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow	1
A Genetic Algorithm to Search the Space of Ehrhart h *-Vectors	1
Clasper Presentations of Habegger-Lin’s Action on String Links	1
Growth of Mahler Measure and Algebraic Entropy of Dynamics with the Laurent Property	1
A Billiard in an Open Circle and the Riemann Zeta Function	1
Sampling Algebra Structures on Minimal Free Resolutions of Length 3	1
Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions	1
Heuristics for Anti-cyclotomic ℤ p -extensions	1
Diverse Beam Search to Find Densest-Known Planar Unit Distance Graphs	1
Nilpotence, Weak Nilpotence, and the Nil Property in the Nonassociative World: Computations and Conjectures	1
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves	1
Confirming Brennan’s Conjecture Numerically on a Counterexample to Thurston’s K  = 2 Conjecture	1
Computational Progress on the Unfair 0-1 Polynomial Conjecture	1
Tortuosity of Delaunay Triangulations and Statistics of Shortest Paths	1
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections	1
Weighted Fractional Euler–Maclaurin-Type Inequalities by Various Function Classes	1
Continued Fraction Expansions Towards Zaremba’s Conjecture	1
Real and Complex Multiplication on K 3 Surfaces via Period Integration	1
Positive Plücker tree certificates for non-realizability	1
L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models	1
A Legendrian Knot Atlas for Knots of Arc Index 10	1
Spectral Gap for the Cohomological Laplacian of SL 3 (ℤ)	1
Accessibility of the Boundary of the Thurston Set	1
Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of L-Functions	1
Parabolically Induced Representations of p -adic G 2 Distinguished by SO 4 , I	1
Schwarzian Versus a Family of Moving Parabolic Points	1
Orbifold del Pezzo Surfaces in ℙ 1  × ℙ 1  × ℙ 1 Format	1
A Concrete Model for the Quantum Permutation Group on 4 Points	1
Redundancy of Triangle Groups in Spherical CR Representations	1
The Variety of Polar Simplices II	1

Murmurations of Elliptic Curves	1
Roudneff’s Conjecture in Dimension 4	1
Error Estimation for a Broad Class of Fractional Multiplicative Quadrature Formulas	1
Lebesgue Constants for Cantor Sets	0
Are the Collatz and abc Conjectures Related?	0
Multiple Extremal Disc-Packings in Compact Hyperbolic Surfaces	0
A Family of Iterated Maps on Natural Numbers	0
Characteristic Cycles of IH Sheaves of Simply Laced Minuscule Schubert Varieties Are Irreducible	0
Four-Dimensional Painlevé-Type Difference Equations	0
Crepant Resolutions, Mutations, and the Space of Potentials	0
Adventures in Supersingularland	0
Hadwiger’s Conjecture with Certain Forbidden Induced Subgraphs	0
Discrete Dynamical Systems From Real Valued Mutation	0
A Cable Knot and BPS-Series II	0
Evaluation of the Second Virial Coefficient for the Mie Potential Using the Method of Brackets	0
On the Cohomology of GL 2 and SL 2 over Imaginary Quadratic Fields	0
Real-Time Visualization in Anisotropic Geometries	0
Experimental Statistics for Mirzakhani’s Theorem	0
On the Positive Coefficients of Two Families of q -Series	0
The Strong Lefschetz Property for Coinvariant Rings of Finite Complex Reflection Groups	0
2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ	0
A Partition of the Set of Numerical Semigroups Associated to Wilf’s Conjecture	0
Deflation Conjecture and Local Dimensions of Brent Equations	0
Correction	0
Schemes in Lean	0
Counterexamples to a Conjecture of Ahmadi and Shparlinski	0
Erratum to the Paper “On Skew Braces and Their Ideals”	0
Small Mahler Measures From Digraphs	0
Mukai Lifting of Self-Dual Points in ℙ 6	0
An Algorithm to Find Ribbon Disks for Alternating Knots	0
Large-Time Series Expansion of the Wave Front Length in the Euclidean Disk	0
Statfda: A User-Friendly Web Application to Analyse Curves Data from a Functional Perspective	0
Spectral Pseudorandomness and the Road to Improved Clique Number Bounds for Paley Graphs	0
A Construction of Multiplicity Class of Hypersurfaces From Hesselink Stratification of a Hilbert Scheme	0
On Projective Evolutes of Polygons	0
New Bounds and Progress Towards a Conjecture on the Summatory Function of (−2) Ω( n )	0
Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties	0
Planar Stick Indices of Some Knotted Graphs	0
Sampling Triangulations of Manifolds Using Monte Carlo Methods	0
Formalizing Ordinal Partition Relations Using Isabelle/HOL	0
On the Special Identities of Gelfand–Dorfman Algebras	0
Crossing the Transcendental Divide: From Translation Surfaces to Algebraic Curves	0
Piecewise flat Ricci flow of compact without boundary three-manifolds	0
On the Irreducible Character Degrees of Symmetric Groups and their Multiplicities	0
Critical Lengths of Steklov Eigenvalues of Hypersurfaces of Revolution in Euclidean Space	0
Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number	0
Systolic Geometry of Translation Surfaces	0
Some Singular Curves in Mukai’s Model of M̅ 7	0
An Experimental Study of the Choquet Integral based on Conditional Aggregation Operators	0
Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols	0
Higher Rademacher Symbols	0
A New Orbit Closure in Genus 8?	0
On the Arithmetic of Generalized Fekete Polynomials	0
The Groups and Nilpotent Lie Rings of Order p 8 with Maximal Class	0
On Saturation of Zero-Dimensional Ideals	0
Computing Chebyshev Polynomials Using the Complex Remez Algorithm	0
Even-Carry Polynomials and Cohomology of the Incidence Correspondence in Positive Characteristic	0
ACC for F -Signature: A Likely Counterexample	0
A Computational Approach to Square Graham Partitions	0
Coxeter Quotients of Knot Groups through 16 Crossings	0
On Non-Projective Complete Toric Varieties	0
Structures in HOMFLY-PT Homology	0
Subdivisions of Hypersimplices: With a View Toward Finite Metric Spaces	0
New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences	0
A Computational View on the Non-degeneracy Invariant for Enriques Surfaces	0
Triangular Diagonal Harmonics Conjectures	0
Ropelength and Writhe Quantization of 12-Crossing Knots	0
A Numerical Stability Analysis of Mean Curvature Flow of Noncompact Hypersurfaces with Type-II Curvature Blowup: II	0
Hard Diagrams of the Unknot	0
Divisors on the Moduli Space of Curves From Divisorial Conditions On Hypersurfaces	0
Conjectural Criteria for the Most Singular Points of the Hilbert Schemes of Points	0
Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II	0
The Reciprocal Algebraic Integers Having Small House	0
A ℕatural Avenue	0
Level Curves for Zhang’s Eta Function	0
The Beauty of Random Polytopes Inscribed in the 2-Sphere	0
Algebraic Number Starscapes	0
Conjectures for Cutting Pizza with Coxeter Arrangements	0
Gaps Between Consecutive Primes and the Exponential Distribution	0
Equations at Infinity for Critical-Orbit-Relation Families of Rational Maps	0

On Higher-Dimensional Symmetric Designs	0
Enumeration of Rational Cuspidal Curves via the WDVV Equation	0
Data-Scientific Study of Kronecker Coefficients	0
Free Convolution Powers Via Roots of Polynomials	0
Computer Bounds for Kronheimer–Mrowka Foam Evaluation	0
Combinatorics of Correlated Equilibria	0
Construction of Low-Dimensional Lie Algebras versus Eigenproblem	0
Numerical Evidence of Robust Dynamical Spectral Rigidity of Ellipses Among Smooth -Symmetric Domains	0
On Graphs of a Finite Full Transformation Semigroup	0
On the Asymptotic Behavior of the Quantiles in the Gamma Distribution	0
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann–Beenker Tilings	0
Orbits of Theta Characteristics	0
Formalizing Galois Theory	0
The Unknotting Number, Hard Unknot Diagrams, and Reinforcement Learning	0
Haemers’ Conjecture: An Algorithmic Perspective	0
Homology Representations of Compactified Configurations on Graphs Applied to ???? 2,n	0
Local Configurations in Union-Closed Families	0
Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions	0
New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals	0
Polytopality of Simple Games	0
Most Vertex Superalgebras Associated to an Odd Unimodular Lattice of Rank 24 Have an Superconformal Structure	0
Counting Minimal Triples for a Generalized Markoff Equation	0
Short, Highly Imprimitive Words Yield Hyperbolic One-Relator Groups	0
A Random Matrix Model for a Family of Cusp Forms	0
Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem	0
Exhaustive Generation of Edge-Girth-Regular Graphs	0
An Exploration of Degeneracy in Abelian Varieties of Fermat Type	0
Eckardt Points on a Cubic Threefold	0
New Borwein-Type Conjectures	0
A New Upper Bound on the Smallest Counterexample to the Mertens Conjecture	0
Computing Heights via Limits of Hodge Structures	0
Finite Groups with Geodetic Cayley Graphs	0
Self-Dual Matroids from Canonical Curves	0
Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types	0
Opers and Non-Abelian Hodge: Numerical Studies	0
Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces	0
An Infinite Family of Counterexamples to a Conjecture on Distance Magic Labeling	0