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Volume 8 (2008)
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A1:
Explicit Formulas for Bernoulli and Euler Numbers
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A2:
A Combinatorial Interpretation of the Poly-Bernoulli
Numbers and Two Fermat Analogues
-
A3:
Counting Ordered Patterns in Words Generated by Morphisms
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Sergey Kitaev, Toufik Mansour, and Patrice Séébold
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A4:
Arithmetic Structures in Random Sets
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Mariah Hamel and Izabella Łaba
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A5:
Q-Binomials and the Greatest Common Divisor
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A6:
On Totient Abundant Numbers
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Paul Loomis and Florian Luca
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A7:
On N | φ(N)D(N) + 2 and N | φ(N)σ(N)+1
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Yong-Gao Chen and Jin-Hui Fang
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A8:
On Sums of Primes from Beatty Sequences
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A9:
An Identity Involving Multiplicative Orders
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A10:
Human Proofs of Identities by Osburn and Schneider
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A11:
Number of Binomial Coefficients Divisible by a Fixed Power of a Prime
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A12:
A Note on Deaconescu's Result Concerning Lehmer's Problem
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Santos Hernández Hernández and Florian Luca
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A13:
Heights in Finite Projective Space, and a Problem on Directed Graphs
-
Melvyn B. Nathanson and Blair D. Sullivan
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A14:
Sturm Numbers and Substitution Invariance of 3iet Words
-
Pierre Arnoux, Valérie Berthé, Zuzana
Masáková, and
Edita Pelantová
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A15:
An Identity for Sums of Polylogarithm Functions
(see also this article's
Errata)
-
A16:
The Inverse Problem for Representation Functions for General Linear Forms
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A17:
Generalized Reciprocity Laws for Sums of Harmonic Numbers
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Markus Kuba, Helmut Prodinger, and Carsten Schneider
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A18:
Tiling Proofs of Some Fibonacci-Lucas Relations
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A19:
A Characterization of All Equilateral Triangles in Z3
-
Ray Chandler and Eugen J. Ionascu
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A20:
Characterization of Substitution Invariant Words Coding
Exchange of Three Intervals
-
Peter Baláži, Zuzana Masáková, and
Edita Pelantová
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A21:
On Monochromatic Subsets of a Rectangular Grid
-
Maria Axenovich and Jacob Manske
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A22:
On Restricted Sumsets in Abelian Groups of Odd Order
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A23:
Boole's Formula as a Consequence of Lagrange's Interpolating Polynomial Theorem
-
A24:
A Note on Boolean Lattices and Farey Sequences II
-
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
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A27:
Maximum Stirling Numbers of the Second Kind
-
Graeme Kemkes, Donatella Merlini, and Bruce Richmond
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A28:
On the t-core of an s-core Partition
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A29:
On p,q-binomial Coefficients
-
A30:
A Note on a Conjecture of Erdős-Turán
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A31:
On the Distribution of the Elliptic Subset Sum
Generator of Pseudorandom Numbers
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A32:
In Gaussian Integers x3 + y3 = z3
Has Only Trivial Solutions -- A New Approach
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A33:
The Frobenius Number of Geometric Sequences
-
Darren C. Ong and Vadim Ponomarenko
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A34:
Extremal Orders of Compositions of Certain Arithmetical Functions
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József Sándor and László Tóth
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A35:
Abstract Numeration Systems on Bounded Languages
and Multiplication by a Constant
-
Emilie Charlier, Michel Rigo, and Wolfgang Steiner
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A36:
Searching for Strange Hypergeometric Identities by Sheer Brute Force
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Moa Apagodu and Doron Zeilberger
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A37:
On a Problem of Molluzzo Concerning Steinhaus Triangles in Finite Cyclic Groups
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A38:
The Overpartition Function Modulo 128
-
A39:
Extensions of the Gauss-Wilson Theorem
-
John B. Cosgrave and Karl Dilcher
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A40:
Enumeration Schemes for Words Avoiding Patterns With Repeated Letters
-
A41:
On the Number of Subsets of [1,m] Relatively Prime to n and Asymptotic Estimates
-
A42:
Periodicity of Some Recurrence Sequences Modulo m
-
Artūras Dubickas and Tomas Plankis
-
A43:
On the Frobenius Problem for Geometric Sequences
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A44:
Generalized Cauchy Determinants
-
A45:
Universal Sets and the Vector Game
-
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
-
A48:
Distance in the Affine Buildings of
SLn and
Spn
-
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
-
A51:
Analogues of Two Classical Theorems on the Representations of a Number
-
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
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A54:
Hereditary Tiling Sets of the Integers
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A55:
On the Diophantine Equation x2 + 3m = yn
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A56:
Divisibility by 2 and 3 of Certain Stirling Numbers
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A57:
Lagrange Inversion and Stirling Number Convolutions
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A58:
A Note on B2[G] Sets
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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 12-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
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Paul Dorbec, Eric Duchêne, and Sylvain Gravier
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G4:
Solitaire Clobber as an Optimization Problem on Words
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Vincent D. Blondel, Julien M. Hendrickx, and Raphaël M. Jungers
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G5:
Subtraction with a Muller Twist
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D. G. Horrocks and M. A. Trenton
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G6:
The Game of Cutblock
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G7:
Proof Trees for Weak Achievement Games