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Volume 8(1) (2008)
A1:
Explicit Formulas for Bernoulli and Euler Numbers
David C. Vella
A2:
A Combinatorial Interpretation of the Poly-Bernoulli
Numbers and Two Fermat Analogues
Chad Brewbaker
A3:
Counting Ordered Patterns in Words Generated by Morphisms
Sergey Kitaev, Toufik Mansour, and Patrice Séébold
A4:
Arithmetic Structures in Random Sets
Mariah Hamel and Izabella Łaba
A5:
Q-Binomials and the Greatest Common Divisor
Keith R. Slavin
A6:
On Totient Abundant Numbers
Paul Loomis and Florian Luca
A7:
On N | φ(N)D(N) + 2 and N | φ(N)σ(N)+1
Yong-Gao Chen and Jin-Hui Fang
A8:
On Sums of Primes from Beatty Sequences
Angel V. Kumchev
A9:
An Identity Involving Multiplicative Orders
Marian Deaconescu
A10:
Human Proofs of Identities by Osburn and Schneider
Helmut Prodinger
A11:
Number of Binomial Coefficients Divisible by a Fixed Power of a Prime
William B. Everett
A12:
A Note on Deaconescu's Result Concerning Lehmer's Problem
Santos Hernández Hernández and Florian Luca
A13:
Heights in Finite Projective Space, and a Problem on Directed Graphs
Melvyn B. Nathanson and Blair D. Sullivan
A14:
Sturm Numbers and Substitution Invariance of 3iet Words
Pierre Arnoux, Valérie Berthé, Zuzana
Masáková, and
Edita Pelantová
A15:
An Identity for Sums of Polylogarithm Functions
(see also this article's
Errata)
Steven J. Miller
A16:
The Inverse Problem for Representation Functions for General Linear Forms
Peter Hegarty
A17:
Generalized Reciprocity Laws for Sums of Harmonic Numbers
Markus Kuba, Helmut Prodinger, and Carsten Schneider
A18:
Tiling Proofs of Some Fibonacci-Lucas Relations
Mark Shattuck
A19:
A Characterization of All Equilateral Triangles in Z3
Ray Chandler and Eugen J. Ionascu
A20:
Characterization of Substitution Invariant Words Coding
Exchange of Three Intervals
Peter Baláži, Zuzana Masáková, and
Edita Pelantová
A21:
On Monochromatic Subsets of a Rectangular Grid
Maria Axenovich and Jacob Manske
A22:
On Restricted Sumsets in Abelian Groups of Odd Order
Guoqing Wang
A23:
Boole's Formula as a Consequence of Lagrange's Interpolating Polynomial Theorem
Cosmin Pohoata
A24:
A Note on Boolean Lattices and Farey Sequences II
Andrey O. Matveev
A25:
Generalized Convolution Identities for Stirling Numbers of the Second Kind
Takashi Agoh and Karl Dilcher
A26:
A Multiplicity Problem Related to Schur Numbers
Daniel Schaal and Hunter Snevily
A27:
Maximum Stirling Numbers of the Second Kind
Graeme Kemkes, Donatella Merlini, and Bruce Richmond
A28:
On the t-core of an s-core Partition
Rishi Nath
A29:
On p,q-binomial Coefficients
Roberto B. Corcino
A30:
A Note on a Conjecture of Erdős-Turán
Csaba Sándor
A31:
On the Distribution of the Elliptic Subset Sum
Generator of Pseudorandom Numbers
Edwin D. El-Mahassni
A32:
In Gaussian Integers x3 + y3 = z3
Has Only Trivial Solutions -- A New Approach
Elias Lampakis
A33:
The Frobenius Number of Geometric Sequences
Darren C. Ong and Vadim Ponomarenko
A34:
Extremal Orders of Compositions of Certain Arithmetical Functions
József Sándor and László Tóth
A35:
Abstract Numeration Systems on Bounded Languages
and Multiplication by a Constant
Emilie Charlier, Michel Rigo, and
Wolfgang Steiner
A36:
Searching for Strange Hypergeometric Identities by Sheer Brute Force
Moa Apagodu and Doron Zeilberger
A37:
On a Problem of Molluzzo Concerning Steinhaus Triangles
in Finite Cyclic Groups
Jonathan Chappelon
A38:
The Overpartition Function Modulo 128
Byungchan Kim
A39:
Extensions of the Gauss-Wilson Theorem
John B. Cosgrave and Karl Dilcher
A40:
Enumeration Schemes for Words Avoiding Patterns With Repeated Letters
Lara Pudwell
A41:
On the Number of Subsets of [1,m] Relatively Prime to
n and Asymptotic Estimates
Mohamed El Bachraoui
A42:
Periodicity of Some Recurrence Sequences Modulo m
Artūras Dubickas and Tomas Plankis
A43:
On the Frobenius Problem for Geometric Sequences
Amitabha Tripathi
A44:
Generalized Cauchy Determinants
Thomas M. Richardson
A45:
Universal Sets and the Vector Game
Zhivko Nedev
A46:
Sum-product Estimates Applied to Waring's Problem Mod p
Todd Cochrane and Christopher Pinner
A47:
Factorization of Constants Involved in Conjectural
Moments of Zeta-functions
Jam Germain
A48:
Distance in the Affine Buildings of
SLn and
Spn
Alison Setyadi
A49:
Partial Transposes of Permutation Matrices
Qing-Hu Hou, Toufik Mansour, and Simone Severini
A50:
The Fourier Transform of Functions of the Greatest Common Divisor
Wolfgang Schramm
A51:
Analogues of Two Classical Theorems on the
Representations of a Number
R. S. Melham
A52:
Generalizations of Some Zero-sum Theorems
Sukumar Das Adhikari, Chantal David, and Jorge Jiménez Urroz
A53:
On a Relation Between the Riemann Zeta Function and the Stirling Numbers
Hirotaka Sato
A54:
Hereditary Tiling Sets of the Integers
S. Eigen and A. Hajian
A55:
On the Diophantine Equation x2 + 3m = yn
Tao Liqun
A56:
Divisibility by 2 and 3 of Certain Stirling Numbers
Donald M. Davis
A57:
Lagrange Inversion and Stirling Number Convolutions
Robin Chapman
A58:
A Note on B2[G] Sets
Gang Yu
A59:
On the Congruence N ≡ A (mod ϕ(N))
William D. Banks, Ahmet M. Güloğlu, and C. Wesley Nevans
A60:
Divisibility Properties of the 5-regular and 13-regular Partition Functions
Neil Calkin, Nate Drake, Kevin James, Shirley Law,
Philip Lee, David Penniston, and Jeanne Radder
A61:
Resolution of the Mixed Sierpiński Problem
Louis Helm, Phil Moore, Payam Samidoost, and George Woltman
Games Articles
G1:
Some Observations and Solutions to Short and Long Global Nim
Jeffery James and Mark Schlatter
G2:
Konane has Infinite Nim-dimension
Carlos Pereira dos Santos and Jorge Nuno Silva
G3:
Solitaire Clobber Played on Hamming Graphs
Paul Dorbec, Eric Duchêne, and Sylvain Gravier
G4:
Solitaire Clobber as an Optimization Problem on Words
Vincent D. Blondel, Julien M. Hendrickx, and Raphaël M. Jungers
