### Submissions from 2024

Proof of the Riemann Hypothesis Using Modified Trigonometric Series, Daniel R. Hummer

### Submissions from 2016

Squared Bessel Process with Delay, Harry Randolph Hughes and Pathiranage Lochana Siriwardena

### Submissions from 2015

PAC Learning, VC Dimension, and the Arithmetic Hierarchy, Wesley Calvert

Genericity and UD-random reals, Wesley Calvert and Johanna Franklin

### Submissions from 2014

Efficient Variable Step Size Approximations for Strong Solutions of Stochastic Differential Equations with Additive Noise and Time Singularity, Harry Randolph Hughes and Pathiranage Lochana Siriwardena

The m-Path Cover Polynomial of a Graph and a model for General Coefficient Linear Recurrences, John McSorley and Philip j. Feinsilver

### Submissions from 2013

On an Additive Characterization of a Skew Hadamard (n, n−1/ 2 , n−3 4 )-Difference Set in an Abelian Group, John McSorley

Rhombic tilings of (n,k)-Ovals, (n,k,λ)-cyclic difference sets, and related topics, John McSorley and Alan Schoen

### Submissions from 2012

On a Diophantine Equation That Generates All Integral Apollonian Gaskets, Jerzy Kocik

### Submissions from 2011

ZEONS, PERMANENTS, THE JOHNSON SCHEME, AND GENERALIZED DERANGEMENTS, John McSorley and Philip Feinsilver

### Submissions from 2010

Norm Euclidean Quaternionic Orders, Robert W. Fitzgerald

On *k*-minimum and *m*-minimum Edge-Magic Injections of Graphs, John P. McSorley and John A. Trono

Feedback Linearizable Feedforward Systems: A Special Class, Issa Amadou Tall

State and Feedback Linearizations of Single-Input Control Systems, Issa Amadou Tall

### Submissions from 2009

Invariants of Trace Forms over Finite Fields of Characteristic 2, Robert W. Fitzgerald

Sun's Conjectures on Fourth Powers in the Class Group of Binary Quadratic Forms, Robert W. Fitzgerald

Trace Forms over Finite Fields of Characteristic 2 with Prescribed Invariants, Robert W. Fitzgerald

Norm Principles for Forms of Higher Degree Permitting Composition, Robert W. Fitzgerald and Susanne Pumplün

The Adjoint *L*-function of *SU*_{2,1}, Joseph Hundley

Descent Construction for *GSpin* Groups – Even Case, Joseph Hundley and Eitan Sayag

Descent Construction for *GSpin* Groups–Odd Case, Joseph Hundley and Eitan Sayag

Descent Construction for *GSpin* Groups – Odd Cuspidal Case, Joseph Hundley and Eitan Sayag

Descent Construction for GSpin Groups: Main Results and Applications, Joseph Hundley and Eitan Sayag

Multivariate Matching Polynomials of Cyclically Labelled Graphs, John P. McSorley and Philip Feinsilver

Neighborhood Champions in Regular Graphs, John McSorley and Walter D. Wallis

Anomaly Graphs and Champions, John McSorley, Walter D. Wallis, and Carey E. Priebe

Stochastic Dynamical Systems in Infinite Dimensions, Salah-Eldin A. Mohammed

Analytic Normal Forms and Symmetries of Strict Feedforward Control Systems, Issa Amadou Tall and Witold Respondek

### Submissions from 2008

The Weak Euler Scheme for Stochastic Delay Equations, Evelyn Buckwar, Rachel Kuske, Salah-Eldin A. Mohammed, and Tony Shardlow

ENUMERATING LABELLED GRAPHS WITH CERTAIN NEIGHBORHOOD PROPERTIES, Lane Clark, Sarah Holliday, John McSorley, and Thomas Porter

Multiplicative Properties of Integral Binary Quadratic Forms, A. G. Earnest and Robert W. Fitzgerald

The Adjoint *L*-function for *GL*_{5}, David Ginzburg and Joseph Hundley

Spin L-functions for *GSO*_{10} and *GSO*_{12}, Joseph Hundley

Comment on “The Expectation Of Independent Domination Number Over Random Binary Trees”, John McSorley and Lane Clark

Constructing and Classifying Neighborhood Anti-Sperner Graphs, John P. McSorley

Factoring Families of Positive Knots on Lorenz-like Templates, Michael C. Sullivan

### Submissions from 2007

Hartman-Grobman Theorems along Hyperbolic Stationary Trajectories, Edson A. Coayla-Teran, Salah-Eldin A. Mohammed, and Paulo Régis C. Ruffino

Represented Value Sets for Integral Binary Quadratic Forms and Lattices, A. G. Earnest and Robert W. Fitzgerald

Highly Degenerate Quadratic Forms over *F*_{2}, Robert W. Fitzgerald

Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields, Robert W. Fitzgerald and Joseph L. Yucas

Generalized Reciprocals, Factors of Dickson Polynomials and Generalized Cyclotomic Polynomials over Finite Fields, Robert W. Fitzgerald and Joseph L. Yucas

On Spin *L*-functions for *GSO*_{10}, David Ginzburg and Joseph Hundley

Closed-Neighborhood Anti-Sperner Graphs, John P. McSorley, Alison Marr, Thomas D. Porter, and Walter D. Wallis

Complete Enumeration and Properties of Binary Pseudo-Youden Designs PYD(9, 6, 6), John P. McSorley and Nicholas C. Phillips

Constructing *t*-designs from *t*-wise Balanced Designs, John P. McSorley and Leonard H. Soicher

The Substitution Theorem for Semilinear Stochastic Partial Differential Equations, Salah-Eldin A. Mohammed and Tusheng Zhang

Prediction Intervals for Regression Models, David J. Olive

Behavior of Elemental Sets in Regression, David J. Olive and Douglas M. Hawkins

### Submissions from 2006

Periodic Prime Knots and Toplogically transitive Flows on 3-Manifolds, William Basener and Michael C. Sullivan

Classification from a computable viewpoint, Wesley Calvert and Julia F. Knight

Trees of Scot rank ω_{1}^{CK, and computable approximability}, Wesley Calvert, Julia F. Knight, and Jessica Millar

Bass Series for Small Witt Rings, Robert W. Fitzgerald

The Spin *L*-Function of Quasi-Split *D*_{4}, Wee Teck Gan and Joseph Hundley

A New Tower of Rankin-Selberg Integrals, David Ginzburg and Joseph Hundley

Large Deviations for Stochastic Systems with Memory, Salah-Eldin A. Mohammed and Tusheng Zhang

The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations, Salah-Eldin A. Mohammed, Tusheng Zhang, and Huaizhong Zhao

Factoring Positive Braids via Branched Manifolds, Michael C. Sullivan

### Submissions from 2005

Equivariant Flow Equivalence of Shifts of Finite Type by Matrix Equivalence over Group Rings, Mike Boyle and Michael C. Sullivan

The isomorphism problem for computable Abelian p-groups of bounded length, Wesley Calvert

Highly Degenerate Quadratic Forms over Finite Fields of Characteristic 2, Robert W. Fitzgerald

Factors of Dickson Polynomials over Finite Fields, Robert W. Fitzgerald and Joseph L. Yucas

Sums of Gauss Sums and Weights of Irreducible Codes, Robert W. Fitzgerald and Joseph L. Yucas

Double Arrays, Triple Arrays, and Balanced Grids with *v* = *r* + *c* - 1, John P. McSorley

Double Arrays, Triple Arrays and Balanced Grids, John P. McSorley, Nicholas C. Phillips, Walter D. Wallis, and Joseph L. Yucas

Two Simple Resistant Regression Estimators, David J. Olive

Variable Selection for 1D Regression Models, David J. Olive and Douglas M. Hawkins

Knots on a Positive Template have a Bounded Number of Prime Factors., Michael C. Sullivan

Symbolic Dynamics and its Applications, Michael C. Sullivan

Twistwise Flow Equivalence and Beyond..., Michael C. Sullivan

Feedback Classification of Multi-Input Nonlinear Control Systems, Issa Amadou Tall

A Stochastic Calculus for Systems with Memory, Feng Yan and Salah-Eldin A. Mohammed

### Submissions from 2004

The Linking Homomorphism of One-Dimensional Minimal Sets, Alex Clark and Michael C. Sullivan

Pencils of Quadratic Forms over Finite Fields, Robert W. Fitzgerald and Joseph L. Yucas

Multi-variable Rankin-Selberg Integrals for Orthogonal Groups, David Ginzburg and Joseph Hundley

Discrete-time Approximations of Stochastic Delay Equations: The Milstein Scheme, Yaozhong Hu, Salah-Eldin A. Mohammed, and Feng Yan

Generating Sequences of Clique-Symmetric Graphs via Eulerian Digraphs, John P. McSorley and Thomas D. Porter

The Stable Manifold Theorem for Nonlinear Stochastic Systems with Memory: II. The Local Stable Manifold Theorem, Salah-Eldin A. Mohammed and Michael K. R. Scheutzow

A Resistant Estimator of Multivariate Location and Dispersion, David J. Olive

Visualizing 1D Regression, David J. Olive

### Submissions from 2003

A Characterization of Primitive Polynomials over Finite Fields, Robert W. Fitzgerald

Irreducible Polynomials over GF(2) with Three Prescribed Coefficients, Robert W. Fitzgerald and Joseph L. Yucas

Vertex-magic Labeling of Trees and Forests, I. D. Gray, J. MacDougall, John P. McSorley, and Walter D. Wallis

Controllability and Local Accessibility—A Normal Form Approach, Wei Kang, MingQing Xiao, and Issa Amadou Tall

Quantum Invariants of Templates, Louis H. Kauffman, Masahico Saito, and Michael C. Sullivan

Robust Regression with High Coverage, David J. Olive and Douglas M. Hawkins

Feedback Classification of Nonlinear Single-Input Control Systems with Controllable Linearization: Normal Forms, Canonical Forms, and Invariants, Issa Amadou Tall and Witold Respondek

### Submissions from 2002

Orthogonal Arrays of Strength Three from Regular 3-Wise Balanced Designs, Charles J. Colbourn, D. L. Kreher, John P. McSorley, and D. R. Stinson

Totally Magic Graphs, Geoffrey Exoo, Alan C. H. Ling, John P. McSorley, Nicholas C. Phillips, and Walter D. Wallis

Inconsistency of Resampling Algorithms for High Breakdown Regression Estimators and a New Algorithm, Douglas M. Hawkins and David J. Olive

Applications of Robust Distances for Regression, David J. Olive

### Submissions from 2001

A Note on Visualizing Response Transformations in Regression, R. Dennis Cook and David J. Olive

Isotropy and Factorization in Reduced Witt Rings, Robert W. Fitzgerald

Norms of Sums of Squares, Robert W. Fitzgerald

Discrete-time Approximations of Stochastic Differential Systems with Memory, Yaozhong Hu, Salah-Eldin A. Mohammed, and Feng Yan

Stochastic Functional Differential Equations on Manifolds, Rémi Léandre and Salah-Eldin A. Mohammed

High Breakdown Analogs of the Trimmed Mean, David J. Olive

### Submissions from 2000

Torsion-Free Modules over Reduced Witt Rings, Robert W. Fitzgerald

Knot Factoring, Michael C. Sullivan

Visually Building Smale Flows in S^{3}, Michael C. Sullivan