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ORCIDIntegers, Volume 18
Volume 18, 2018
- Paul Thomas Young:
2-adic Valuations of Generalized Fibonacci Numbers of Odd Order. A1 - Alice L. L. Gao, Sergey Kitaev, Philip B. Zhang:
On Pattern Avoiding Indecomposable Permutations. A2 - Amir Akbary, Sahar Siavashi:
The Largest Known Wieferich Numbers. A3 - Akhilesh P., Olivier Ramaré:
Tail Of A Moebius Sum With Coprimality Conditions. A4 - Uha Isnaini, Pee Choon Toh:
On Some Congruences for Andrews' Singular Overpartitions. A5 - Tamás Lengyel:
Arithmetic Properties of Lacunary Sums of Binomial Coefficients. A6 - Shishuo Fu, Ting Hua:
On the Slack Euler Pair for Vector Partition. A7 - Gagik Amirkhanyan, Albert Bush, Ernie Croot:
Order-Preserving Freiman Isomorphisms. A8 - Matt Noble:
Isosceles Triangles in Q3. A9 - René Gy:
Generalized Lerch Primes. A10 - Prem Prakash Pandey:
On Freiman's 3k-4 Theorem. A11 - Ayse Alaca:
Representations by Quaternary Quadratic Forms with Coefficients 1, 3, 5, or 15. A12 - Tsz Ho Chan:
Numbers with Three Close Factorizations and Lattice Points on Hyperbolas. A13 - Rigoberto Flórez, Robinson A. Higuita, Antara Mukherjee:
Characterization of the Strong Divisibility Property for Generalized Fibonacci Polynomials. A14 - Colin Defant:
Ranges of Unitary Divisor Functions. A15 - Alyssa Epstein, Adam Lott, Steven J. Miller, Eyvindur A. Palsson:
Optimal Point Sets Determining Few Distinct Triangles. A16 - Claudio Pita-Ruiz:
Generalized Eulerian Polynomials and Some Applications. A17 - Paul Jenkins, DJ Thornton:
Weakly Holomorphic Modular Forms in Prime Power Levels of Genus Zero. A18 - Meghann Moriah Gibson, Matthew Just, Hua Wang:
Note on Restricted Parts in Cyclic Compositions. A19 - Lerna Pehlivan, Kenneth S. Williams:
(k, l)-Universality of Ternary Quadratic Forms ax2+by2+cz2. A20 - Tereza Velká, L'ubomíra Dvoráková:
Fixed Points of Morphisms Among Binary Generalized Pseudostandard Words. A21 - Brandt Kronholm, Jonathan Rehmert:
A Generalization of Congruence Properties for a Restricted Partition Function. A22 - Mehdi Hassani:
Asymptotic Expansions for the Average of the Generalized Omega Function. A23 - Rafal Bystrzycki:
Exponential Sums Over Subgroups Generated by 2. A24 - Rodrigo Angelo:
A Cameron and Erdős Conjecture on Counting Primitive Sets. A25 - Idris David Mercer:
Dirichlet's Theorem and Jacobsthal's Function. A26 - Timothy Foo:
On the Sum of Integers From Some Multiplicative Sets and Some Powers of Integers. A27 - Pablo Candela, Juanjo Rué, Oriol Serra:
Memorial to Javier Cilleruelo: A Problem List. A28 - Karl Dilcher, Hayley Tomkins:
Square Classes and Divisibility Properties of Stern Polynomials. A29 - Joseph Vandehey:
On the Binary Digits of √2. A30 - Steven P. Clark:
A Note on Finite Sums of Products of Bernstein Basis Polynomials and Hypergeometric Polynomials. A31 - Andrew Lohr, Doron Zeilberger:
On The Limiting Distributions of the Total Height On Families of Trees. A32 - Dana Mackenzie:
2184: An Absurd (and Adsurd) Tale. A33 - George E. Andrews, David Newman:
Binary Representations and Theta Function. A34 - Lawrence Somer, Michal Krízek:
Nondefective Integers With Respect to Certain Lucas Sequences of the Second Kind. A35 - Robert Frontczak:
Sums of Cubes over Odd-Index Fibonacci Numbers. A36 - Anwar Ayyad, Todd Cochrane, Sanying Shi:
Modular Hyperbolas and the Congruence ax1x2…xk + bxk+1xk+2…x2k ≡ c mod m. A37 - Oliver Roche-Newton, Ilya D. Shkredov, Arne Winterhof:
Packing Sets over Finite Abelian Groups. A38 - Dmitry I. Khomovsky:
Efficient Computation of Terms of Linear Recurrence Sequences of Any Order. A39 - Stian Clem, Christopher Pinner:
The Lind-Lehmer Constant for 3-groups. A40 - Jorge Bruno, Edwin O'Shea:
Relaxed Complete Partitions: An Error-correcting Bachet’s Problem. A41 - Dmitry I. Khomovsky:
A Method for Obtaining Fibonacci Identities. A42 - Emre Alkan, Haydar Göral, Doga Can Sertbas:
Hyperharmonic Numbers Can Rarely Be Integers. A43 - Leonid G. Fel:
Symmetric (Not Complete Intersection) Numerical Semigroups Generated by Five Elements. A44 - Harry J. Altman:
Integer Complexity: Algorithms and Computational Results. A45 - Maxie D. Schmidt:
Jacobi-Type Continued Fractions and Congruences for Binomial Coefficients. A46 - Tom Edgar:
On the Number of Hyper m-ary Partitions. A47 - Joshua Zelinsky:
An Improvement of an Inequality of Ochem and Rao Concerning Odd Perfect Numbers. A48 - John Engbers, Christopher J. Stocker:
Combinatorial Proofs of Identities of Alzer and Prodinger and Some Generalizations. A49 - Chiranjit Ray, Rupam Barman:
New Congruences for Overpartitions Into Odd Parts. A50 - Juan Arias de Reyna:
Arithmetic of the Fabius Function. A51 - Christian Axler:
New Estimates for Some Functions Defined Over Primes. A52 - András Gyárfás:
Large Sets of t-designs and a Ramsey-type Problem. A53 - Bruno Langlois:
Les Endomorphismes de Q+* pour l’Addition des Cancres. A54 - William J. Keith:
Major Index Over Descent for Pattern-avoiding Permutations. A55 - Sudhansu Sekhar Rout, R. Thangadurai:
On ℓ-th Order Gap Balancing Numbers. A56 - Patrick F. Bray, Hieu D. Nguyen:
The Area of the Mandelbrot Set and Zagier's Conjecture. A57 - Kimmo Eriksson, Markus Jonsson, Jonas Sjöstrand:
An Exponential Limit Shape of Random q-proportion Bulgarian Solitaire. A58 - Mayank Pandey:
On Eisenstein Primes. A59 - Min Tang, Zhi-Jun Zhou:
On a Conjecture of De Koninick. A60 - Christian Axler:
Estimates for π(x) for Large Values of x and Ramanujan's Prime Counting Inequality. A61 - José Manuel Rodríguez Caballero:
On a Set of Fixed Points Related to Both Fermat and Mersenne Primes. A62 - Raffaele Marcovecchio:
Simultaneous Approximations to ζ(2) and ζ(4). A63 - Ramy F. Taki ElDin:
Applying Modular Arithmetic to Diophantine Equations. A64 - Kazuhide Matsuda:
On Certain Quaternary Quadratic Forms. A65 - Anthony Sofo:
On Related Binomial Harmonic Identities. A66 - Edgar Federico Elizeche, Amitabha Tripathi:
On the Nested Local Postage Stamp Problem. A67 - Ethan Berkove, Andrew Eickemeyer, Michael Schulman:
The 4-Color Cubes Puzzle. A68 - Helmut Prodinger:
Ternary Smirnov Words and Generating Functions. A69 - Takashi Agoh:
On Shortened Recurrence Relations for Genocchi Numbers and Polynomials. A70 - Alexander Hertlein:
Robin's Inequality for New Families of Integers. A71 - Elliot R. Emadian, Carrie E. Finch-Smith, Margaret G. Kallus:
Ruth-Aaron Pairs Containing Riesel or Sierpinski Numbers. A72 - Rajesh P. Singh, Mritunjay Kumar Singh:
Two Congruence Identities on Ordered Partitions. A73 - Pete L. Clark, Lori D. Watson:
Varga's Theorem in Number Fields. A74 - Wieb Bosma:
Aliquot Sequences With Small Starting Values. A75 - Emanuele Munarini:
Some q-binomial Identities Involving the Generalized q-Fibonacci Numbers. A76 - Douglas E. Iannucci:
When the Small Divisors of a Natural Number Are in Arithmetic Progression. A77 - Maxie D. Schmidt:
New Congruences and Finite Difference Equations for Generalized Factorial Functions. A78 - Jeremiah Bartz, Bruce Dearden, Joel Iiams:
Almost Gap Balancing Numbers. A79 - Noah Kravitz, Stefan Steinerberger:
Ulam Sequences and Ulam Sets. A80 - Steven J. Miller, Carsten Peterson, Carsten Sprunger, Roger Van Peski:
The Bidirectional Ballot Polytope. A81 - Roman Nedela, Carl Pomerance:
Density of Singular Pairs of Integers. A82 - Josh Hiller, Yesim Aküzüm, Ömür Deveci:
The Adjacency-Pell-Hurwitz Numbers. A83 - Ana Cecilia García Lomelí, Santos Hernández Hernández:
Powers of Two as Sums of Two Padovan Numbers. A84 - Ayse Alaca, Saban Alaca, Zafer Selcuk Aygin:
Eta Quotients, Eisenstein Series and Elliptic Curves. A85 - Zachary Chase:
On the Iterates of Digit Maps. A86 - Achille Frigeri:
A Note on Fibonacci Numbers of Even Index. A87 - Joshua Harrington, Lenny Jones:
An Equation Involving Arithmetic Functions and Riesel Numbers. A88 - Nicholas A. Loehr, T. S. Michael:
The Combinatorics of Evenly Spaced Binomial Coefficients. A89 - Pamela E. Harris, Mohamed Omar:
Lattice Point Visibility on Power Functions. A90 - Reza Kahkeshani, Meysam Arab:
A Generalized Binet Formula That Counts the Tilings of a (2 x n)-board. A91 - Lerna Pehlivan, Kenneth S. Williams:
Positive-Definite Ternary Quadratic Forms Which are (4, 1)-universal and (4, 3)-universal. A92 - Victor Z. Guo, Andreas J. Weingartner:
The Practicality of Shifted Primes. A93 - Saud Hussein:
A Note on the Converse of Wolstenholme's Theorem. A94 - Bernd C. Kellner, Jonathan Sondow:
The Denominators of Power Sums of Arithmetic Progressions. A95 - Aaron Robertson, Bidisha Roy, Subha Sarkar:
The Determination of 2-color Zero-sum Generalized Schur Numbers. A96 - Bernhard Heim, Markus Neuhauser:
Polynomials Related to Powers of the Dedekind Eta Function. A97 - Adam Krause, Howard Skogman:
On Ozanam's Rule. A98 - Kwok Chi Chim, Volker Ziegler:
On Diophantine Equations Involving Sums of Fibonacci Numbers and Powers of 2. A99 - Josep M. Brunat, Montserrat Maureso:
Steinhaus Triangles Generated by Vectors of the Canonical Basis. A100 - Shilin Ma, Kevin J. McGown, Devon Rhodes, Mathias Wanner:
On the Number of Primes for Which a Polynomial is Eisenstein. A101 - Melissa A. Huggan, Richard J. Nowakowski:
Thinning Thickets. G1 - Klay Kruczek, Eric Sundberg:
A Maker--Breaker Game on the Boolean Hypercube With Subcubes as Winning Sets. G2 - Cormac O'Sullivan:
A Vertex and Edge Deletion Game on Graphs. G3
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