#### Submissions from 2016

Tabulating pseudoprimes and tabulating liars, Andrew Shallue

#### Submissions from 2015

Construction of Nonlinear Expression for Recursive Number Sequences, Tian-Xiao He

The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials, Tian-Xiao He, Jeff Liao, and Peter Shiue

Wavelet Analysis and Applications in Economics and Finance, Tian-Xiao He and Tung Nguyen, '15

A Computational Study of Icart's Function, Andrew Shallue and Thomas Simmons, '15

#### Submissions from 2014

Constructing Carmichael numbers through improved subset-product algorithms, W.R. Alford, Jon Grantham, Steven Hayman, and Andrew Shallue

Asymptotic Expansions and Computation of Generalized Stirling Numbers and Generalized Stirling Functions, Tian-Xiao He

Composite Dilation Wavelets with High Degrees, Tian-Xiao He

Enumeration Problems for a Linear Congruence Equation, Tian-Xiao He, Wun-Seng Chou, and Peter Shiue

On an Extension of Riordan Array and its Application in the Construction of Convolution-type and Abel-type Identities, Tian-Xiao He, Leetsch Hsu, and Xing Ron Ma

Polynomials that have Golden Ratio Zeros, Tian-Xiao He, Jack Maier, and Kurt Vanness

Hyperbolic Expressions of Polynomial Sequences and Parametric Number Sequences Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter Shiue, and Tsui-Wei Weng

#### Submissions from 2013

Expression and Computation of Generalized Stirling Numbers, Tian-Xiao He

Impulse Response Sequences and Construction of Number Sequence Identities, Tian-Xiao He

Parametric Catalan Numbers and Catalan Triangles, Tian-Xiao He

On the Construction of Number Sequence Identities, Tian-Xiao He and Wun-Seng Chou

Q-analogues of Symbolic Operators, Tian-Xiao He and Michael Dancs

Characterization of (c)-Riordan arrays, Gegenbauer-Humbert-type Polynomial Sequences, and (c)-Bell Polynomials, Tian-Xiao He and Henry Gould

Schroder Matrix as Inverse of Delannoy Matrix, Tian-Xiao He, Sheng-liang Yang, Sai-nan Zheng, and Shao-peng Yuan

#### Submissions from 2012

A Unified Approach to Generalized Stirling Functions, Tian-Xiao He

Eulerian Polynomials and B-Splines, Tian-Xiao He

The Characterization of Riordan Arrays and Sheffer-type Polynomial Sequences, Tian-Xiao He

A Note on Horner's Method, Tian-Xiao He and P. J.-S. Shiue

#### Submissions from 2011

Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials, Tian-Xiao He

Generalized Exponential Euler Polynomials and Exponential Splines, Tian-Xiao He

Generalized Zeta Functions, Tian-Xiao He

Riordan arrays associated with Laurent series and generalized Sheffer-type groups, Tian-Xiao He

Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He and Peter Shiue

Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter Shiue, and Tsui-Wei Weng

Some Dense Subsets of Real Numbers and their Applications, Tian-Xiao He, Peter Shiue, and Xiaoya Zha

Constructing Large Numbers with Cheap Computers, Andrew Shallue and Steven Hayman

Linear Algebra, Lawrence Stout

How to Study Mathematics, Lawrence N. Stout

Linear Algebra, Lawrence N. Stout

#### Submissions from 2010

Boundary Type Quadrature Formulas Over Axially Symmetric Regions, Tian-Xiao He

A Categorical Semantics for Fuzzy Predicate Logic, Lawrence Stout

Categorical Approaches to Non-Commutative Fuzzy Logic, Lawrence Stout

When Does a Category Built on a Lattice with a Monoidal Structure have a Monoidal Structure?, Lawrence Stout

A Categorical Semantics for Fuzzy Predicate Logic, Lawrence N. Stout

Categorical Approaches to Non-Commutative Fuzzy Logic, Lawrence N. Stout

When Does a Category Built on a Lattice with a Monoidal Structure have a Monoidal Structure?, Lawrence N. Stout

Recursion, Infinity, and Modeling, Lawrence N. Stout and Hans-Jorg Tiede

Recursion, Infinity, and Modeling, Lawrence Stout and Hans-Jorg Tiede

#### Submissions from 2009

Characterization of Compactly Supported Renable Splines with Integer Matrix, Tian-Xiao He and Yujing Guana

A Pair of Operator Summation Formulas and Their Applications, Tian-Xiao He, Leetsch Hsu, and Dongsheng Yin

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He and Peter Shiue

Sequence Characterization of Riordan Arrays, Tian-Xiao He and Renzo Sprugnoli

Paradigms for Non-classical Substitutions, Lawrence Stout, P. Eklund, M. Galan, and J. Kortelainen

Paradigms for Non-classical Substitutions, Lawrence N. Stout, P. Eklund, M. A. Galan, and J. Kortelainen

#### Submissions from 2008

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas, Tian-Xiao He

Padé Spline Functions, Tian-Xiao He

A symbolic operator approach to several summation formulas for power series II, Tian-Xiao He, Peter Shiue, and L. C. Hsu

An Improved Multi-Set Algorithm for the Dense Subset Sum Problem, Andrew Shallue

#### Submissions from 2007

Construction of Biorthogonal B-spline Type Wavelet Sequences with Certain Regularities, Tian-Xiao He

Fourier transform of Bernstein–Bézier polynomials, Tian-Xiao He, Charles Chui, and Qingtang Jiang

The Sheffer Group and the Riordan Group, Tian-Xiao He, Peter Shiue, and Leetsch Hsu

Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration, Tian-Xiao He, Peter s, and Leetsch Hsu

Two Number-Theoretic Problems That Illustrate the Power and Limitations of Randomness, Andrew Shallue

#### Submissions from 2006

An Euler-type formula for ζ(2k +1), Tian-Xiao He and Michael Dancs

Numerical approximation to ζ(2n+1), Tian-Xiao He and Michael Dancs

Multivariate Expansion Associated with Sheffer-type Polynomials and Operators, Tian-Xiao He, Leetsch Hsu, and Peter Shiue

On the Convergence of the Summation Formulas Constructed by Using a Symbolic Operator Approach, Tian-Xiao He, Leetsch Hsu, and Peter Shiue

On the Generalized Möbius Inversion Formulas, Tian-Xiao He, Peter Shiue3, and Leetsch Hsu

Construction of Rational Points on Elliptic Curves over Finite Fields, Andrew Shallue and Christiaan van de Woestijne

Sequences, Series, and Function Approximation, Lawrence N. Stout

#### Submissions from 2005

MRA Frame Wavelets with Certain Regularities Associated with the Refinable Generators of Shift Invariant Spaces, Tian-Xiao He

**If** F(x) =∫_{x}^{2x} f(t) dt **Is Constant, Must** f(t) = c/t **?**, Tian-Xiao He

A Pair of General Series-Transformation Formulas, Tian-Xiao He, Leetsch Hsu, and Peter Shiue

On an Extension of Abel-Gontscharoff's Expansion Formula, Tian-Xiao He, Leetsch Hsu, and Peter Shiue

A Symbolic Operator Approach to Several Summation Formulas for Power Series, Tian-Xiao He, Leetsch Hsu, Peter Shiue, and D. Torney

#### Submissions from 2004

Biorthogonal Spline Type Wavelets, Tian-Xiao He

On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He

#### Submissions from 2003

Boundary-type quadrature and boundary element method, Tian-Xiao He

On Abel-Gontscharoff-Gould's polynomials, Tian-Xiao He, Leetsch Hsu, and Peter Shiue

Open Problems from the Linz2000 Closing Session, Lawrence Stout

Open Problems from the Linz2000 Closing Session, Lawrence N. Stout

#### Submissions from 2002

Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, and the Boundary Element Method, Tian-Xiao He

Stable Refinable Generators of Shift Invariant Spaces with Certain Regularities and Vanishing Moments, Tian-Xiao He

#### Submissions from 2001

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He

Finiteness Notions in Fuzzy Sets, Lawrence Stout

Finiteness Notions in Fuzzy Sets, Lawrence N. Stout

#### Submissions from 2000

A Brief Biography of Professor L.C. Hsu (Lizhi Xu), Tian-Xiao He

Boundary quadrature formulas and their applications, Tian-Xiao He

C^{1} Quadratic Macroelements and C^{1} Orthogonal Multiresolution Analyses in 2D, Tian-Xiao He

#### Submissions from 1998

Short Time Fourier Transform, Integral Wavelet Transform, and Wavelet Functions Associated with Splines, Tian-Xiao He

#### Submissions from 1995

Shape Criteria of Bernstein-Bezier Polynomials over Simplexes, Tian-Xiao He

Categories of Fuzzy Sets with Values in a Quantale or Projectale, Lawrence Stout

Categories of Fuzzy Sets with Values in a Quantale or Projectale, Lawrence N. Stout

#### Submissions from 1992

The Logic of Unbalanced Subobjects in a Category with Two Closed Structures, Lawrence Stout

The Logic of Unbalanced Subobjects in a Category with Two Closed Structures, Lawrence N. Stout

#### Submissions from 1991

A Survey of Fuzzy Set and Topos theory, Lawrence Stout

Foundations of Fuzzy Sets, Lawrence Stout and Ulrich Höhle

#### Submissions from 1990

Bivariate C^{1} Quadratic Finite Elements and Vertex Splines, Tian-Xiao He

#### Submissions from 1989

On the Dimension of Bivariate Superspline Spaces, Tian-Xiao He

#### Submissions from 1988

Asymptotic Properties of Positive Summation-integral Operators, Tian-Xiao He

On a General Class of Multivariate Linear Smoothing Operators, Tian-Xiao He

On Minimal and Quasi-Minimal Supported Bivariate Splines, Tian-Xiao He

Two Discrete Forms of the Jordan Curve Theorem, Lawrence Stout

#### Submissions from 1987

Dedekind Finiteness in Topoi, Lawrence Stout

Problems, Lawrence Stout