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Volume 7 (2007)

• A1: Affine Invariants, Relatively Prime Sets, and a Phi Function for Subsets of {1, 2, ..., n}
  • Melvyn B. Nathanson
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278437

• A2: Midy's Theorem for Periodic Decimals
  • Joseph Lewittes
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278440

• A3: Generalizations of Midy's Theorem on Repeating Decimals
  • Harold W. Martin
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278448

• A4: Note on a Congruence Involving Products of Binomial Coefficients
  • Ping Xu and Hao Pan
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278452

• A5: Sets with More Sums than Differences
  • Melvyn B. Nathanson
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278456

• A6: Multi-Ordered Posets
  • Lisa Bishop and Kendra Killpatrick
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278464

• A7: A Short Proof of a Known Density Result
  • Timothy Foo
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278480

• A8: Conjugate Sequences in a Fibonacci-Lucas Sense and Some Identities for Sums of Powers of Their Elements
  • Roman Wituła and Damian Słota
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278466

• A9: Representations of Split Graphs, Their Complements, Stars, and Hypercubes
  • Darren A. Narayan and Jim Urick
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278470

• A10: A Connection Between Ordinary Partitions and Tilings with Dominoes and Squares
  • Louis W. Kolitsch
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278476

• A11: Integer Sets Having the Maximum Number of Distinct Differences
  • Oleg Pikhurko and Tomasz Schoen
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278484

• A12: A Graphic Generalization of Arithmetic
  • Bilal Khan, Kiran R. Bhutani, and Delaram Kahrobaei
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278495

• A13: On the Average Orders of a Class of Divisor Functions
  • Roger Woodford
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278500

• A14: On the Frobenius Number of Fibonacci Numerical Semigroups
  • J.M. Marín, J.L. Ramírez Alfonsín, and M.P. Revuelta
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278504

• A15: Frobenius Numbers by Lattice Point Enumeration
  • David Einstein, Daniel Lichtblau, Adam Strzebonski, and Stan Wagon
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8278507

• A16: On Congruence Properties of Consecutive Values of p(n,m)
  • Brandt Kronholm
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281127

• A17: Integers with a Large Smooth Divisor
  • William D. Banks and Igor E. Shparlinski
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281131

• A18: A Remark on the Chebotarev Theorem About Roots of Unity
  • F. Pakovich
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281135

• A19: Triangular Numbers in Geometric Progression
  • Yong-Gao Chen and Jin-Hui Fang
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281143

• A20: A Note on Boolean Lattices and Farey Sequences
  • Andrey O. Matveev
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281153

• A21: On Short Zero-Sum Subsequences II
  • W. D. Gao, Q. H. Hou, W. A. Schmid, and R. Thangadurai
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281159

• A22: Truncating Binomial Series with Symbolic Summation
  • Peter Paule and Carsten Schneider
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281163

• A23: Iterated Exponents in Number Theory
  • Daniel B. Shapiro and S. David Shapiro
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      DOI: 10.5281/zenodo.8281172

• A24: Ducci Sequences in Higher Dimensions
  • Florian Breuer
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281178

• A25: Computation of q-Partial Fractions
  • Augustine O. Munagi
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281184

• A26: Primitive Prime Divisors in Polynomial Arithmetic Dynamics
  • Brian Rice
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281190

• A27: Combinatorial Proofs of Some Simons-type Binomial Coefficient Identities
  • Mark Shattuck
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281194

• A28: The Number of Representations by Sums of Squares and Triangular Numbers
  • Heung Yeung Lam
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281198

• A29: Disjunctive Rado Numbers for x₁ + x₂ + c = x₃
  • Dusty Sabo, Daniel Schaal, and Jacent Tokaz
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281204

• A30: A Proof of the Continued Fraction Expansion of e^2/s
  • Takao Komatsu
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8281208

• A31: On the Irrationality of a Divisor Function Series
  • John B. Friedlander, Florian Luca, and Mihai Stoiciu
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8288725

• A32: Random B_h Sets and Additive Bases in Z_n
  • Csaba Sándor
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8288740

• A33: On Factorization of Integers with Restrictions on the Exponents
  • Simon Litsyn and Vladimir Shevelev
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8288749

• A34: An Inverse of the Faà di Bruno Formula
  • Gottlieb Pirsic
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8288755

• A35: Observations on the Parity of the Total Number of Parts in Odd-part Partitions
  • James A. Sellers
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8288763

• A36: k-Fixed-Points-Permutations
  • Fanja Rakotondrajao
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8288773

• A37: Combined Algebraic Properties of Central* Sets
  • Dibyendu De
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8288776

• A38: Gaps in the Spectrum of Nathanson Heights of Projective Points
  • Kevin O'Bryant
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8288780

• A39: Perfect Delaunay Polytopes in Low Dimensions
  • Mathieu Dutour, Robert Erdahl, and Konstantin Rybnikov
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8288791

• A40: An Invariant Sum Related to Record Statistics
  • Tamás Lengyel
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8288800

• A41: On Divisibility of Some Power Sums
  • Tamás Lengyel
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332474

• A42: Minimal Zero-sum Sequences of Maximum Length in the Group C₃ ⊕ C_3k
  • Fang Chen and Svetoslav Savchev
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332478

• A43: The Number of Relatively Prime Subsets and Phi Functions for {m, m+1, ..., n}
  • Mohamed El Bachraoui
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332482

• A44: A Congruence for Products of Binomial Coefficients Modulo a Composite
  • Andrew D. Loveless
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332486

• A45: Tableau Cycling and Catalan Numbers
  • Jenny Buontempo and Brian Hopkins
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332490

• A46: Recurrence Formulae for Multi-poly-Bernoulli Numbers
  • Y. Hamahata and H. Masubuchi
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332495

• A47: On the Property P_-1
  • Tao Liqun
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332497

• A48: Some Observations on Khovanskii's Matrix Methods for Extracting Roots of Polynomials
  • J. McLaughlin and B. Sury
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332506

• A49: On the Order of Points on Curves Over Finite Fields
  • José Felipe Voloch
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332510

• A50: Sets of Lengths Do Not Characterize Numerical Monoids
  • Jeff Amos, S. T. Chapman, Natalie Hine, and João Paixão
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8332514

• A51: Multiple Convolution Formulae on Classical Combinatorial Numbers
  • Wenchang Chu and Xiaoyuan Wang
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337146

• A52: Two Generalized Constants related to Zero-Sum Problems for Two Special Sets
  • Xingwu Xia
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337156

• A53: Improved Bounds on the Number of Ways of Expressing t as a Binomial Coefficient
  • Daniel M. Kane
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337164

• A54: Asymptotic Estimates for Phi Functions for Subsets of {m+1,m+2,...,n}
  • Melvyn B. Nathanson and Brooke Orosz
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337170

• A55: Recounting Determinants for a Class of Hessenberg Matrices
  • Arthur T. Benjamin and Mark A. Shattuck
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337172

• A56: Mixed Sums of Squares and Triangular Numbers (II)
  • Song Guo, Hao Pan, and Zhi-Wei Sun
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337180

• A57: Nonexistence of a Geometric Progression that Contains Four Triangular Numbers
  • Jin-Hui Fang
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337191

• A58: Floor and Roof Function Analogs of the Bell Numbers (see also this article's Erratum)
  • H. W. Gould and Jocelyn Quaintance
    • Select Abstract Erratum PDF Postscript
      DOI: 10.5281/zenodo.8337200

• A59: Counting Functions and Finite Differences
  • Natalio H. Guersenzvaig and Michael Z. Spivey
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337202

Games Articles

• G1: Diagonal Peg Solitaire
  • George I. Bell
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8337209

• G2: Achieving Snaky
  • Immanuel Halupczok and Jan-Christoph Schlage-Puchta
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8337213

• G3: The Sequential Join of Combinatorial Games
  • Fraser Stewart
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8337221

• G4: On the Periodicity of Genus Sequences of Quaternary Games
  • M. R. Allen
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8337235

• G5: Winning Paths in N-by-Infinity Hex
  • Walter Stromquist
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8337237

• G6: Simplification of Partizan Games in Misère Play
  • G. A. Mesdal and P. Ottaway
    • Select Abstract PDF
      DOI: 10.5281/zenodo.8337241

• G7: The Minimum Size Required of a Solitaire Army
  • George I. Bell, Daniel S. Hirschberg, and Pablo Guerrero-García
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337251

• G8: Some Hardness Results for Question/Answer Games
  • Sarmad Abbasi and Numan Sheikh
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337261

• G9: Further Analysis on the "King and Rook vs. King on a Quarter-infinite Board" Problem
  • Siddhartha Kanungo and Richard M. Low
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.8337271

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