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ORCIDIntegers, Volume 17
Volume 17, 2017
- Tian-Xiao He, Jinze Zheng:
Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials. A1 - Vito Lampret:
Accurate Asymptotic Estimates of Catalan's Sequence. A2 - Thomas A. Plick:
A New Constraint on Perfect Cuboids. A3 - Pascal Stumpf:
A Short Note on Reduced Residues. A4 - Tamás Lengyel, Diego Marques:
The 2-adic Order of Some Generalized Fibonacci Numbers. A5 - Martin Griffiths:
An Implicit Zeckendorf Representation. A6 - Abdulaziz M. Alanazi, Augustine O. Munagi:
On Partition Configurations of Andrews-Deutsch. A7 - Francesco Monopoli, Imre Z. Ruzsa:
Carries and the Arithmetic Progression Structure of Sets. A8 - Feng-Zhen Zhao:
The Monotonicity of Some Sequences Related to Hyperharmonic Numbers. A9 - Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, Roberto Tauraso:
Multiple Harmonic Sums and Multiple Harmonic Star Sums are (Nearly) Never Integers. A10 - Ramdinmawia Vanlalngaia:
Explicit Mertens Sums. A11 - Patiwat Singthongla, Narakorn Rompurk Kanasri, Vichian Laohakosol:
Reducibility of Polynomials Over Algebraic Number Fields. A12 - Horst Alzer, Helmut Prodinger:
On Combinatorial Identities of Engbers and Stocker. A13 - Chandrashekar Adiga, Ranganatha Dasappa:
A Simple Proof of a Conjecture of Dou on (3, 7)-Regular Bipartitions Modulo 3. A14 - Symon Serbenyuk:
Representation of Real Numbers by the Alternating Cantor Series. A15 - Tewodros Amdeberhan, David Callan, Hideyuki Ohtsuka, Roberto Tauraso:
Revitalized Automatic Proofs: Demonstrations. A16 - Yogesh More, Craig V. Spencer:
A Generalization of Schauz and Brink's Restricted-Variable Version of Chevalley's Theorem. A17 - C. Augspurger, M. Minter, Katie Shoukry, Papa A. Sissokho, Kayla Voss:
Avoiding Zero-Sum Sequences of Prescribed Length Over the Integers. A18 - Dhroova Aiylam:
A Generalized Stern-Brocot Tree. A19 - Benjamin V. Holt:
On Permutiples Having a Fixed Set of Digits. A20 - Shane Chern:
Congruences for 1-Shell Totally Symmetric Plane Partitions. A21 - Shane Chern:
New Congruences for l-Regular Overpartitions. A22 - Mark Budden, Matthew Stender, Yanbo Zhang:
Weakened Ramsey Numbers and Their Hypergraph Analogues. A23 - Bart Goddard, Jeremy Rouse:
Sum of Two Repdigits a Square. A24 - Heng Huat Chan, Si Ying Lee:
Congruences Associated with the Modular j-Invariant. A25 - José A. Adell, Alberto Lekuona:
Closed Form Expressions for the Stirling Numbers of the First Kind. A26 - Tsz Ho Chan:
Shortest Distance in Modular Cubic Polynomials. A27 - Wei Wang, Xiaoping Li, Xiang-Gen Xia, Wenjie Wang, Jianguo Qian:
Simplification on Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers. A28 - Kurt Girstmair:
Equality of Dedekind Sums Modulo 24Z. A29 - Koji Momihara, Sho Suda:
Conference Matrices With Maximum Excess and Two-intersection Sets. A30 - Beáta Bényi, Péter Hajnal:
Combinatorial Properties of Poly-Bernoulli Relatives. A31 - Konstantinos Gaitanas:
An Infinite Family of Quartic Polynomials Whose Products of Consecutive Values are Finitely Often Perfect Squares. A32 - Ray S. Melham:
Finite Reciprocal Sums of Products Involving Squares of Sines or Cosines With Arguments in Arithmetic Progression. A33 - Jürgen Kritschgau, Adriana Salerno:
Origami Constructions of Rings of Integers of Imaginary Quadratic Fields. A34 - Christian Aebi, Grant Cairns:
The Quartic Residues Latin Square. A35 - Erik Insko, Katie Johnson, Shaun Sullivan:
An Ordered Partition Expansion of the Determinant. A36 - Mario Huicochea:
Inverse Theorems in Z/pZ When a Subset is Contained in a Short Arithmetic Progression. A37 - Jacob Hartzer, Christopher O'Neill:
On the Periodicity of Irreducible Elements in Arithmetical Congruence Monoids. A38 - Fanasina Rafilipojaona:
Lower Bounds on the Weak Schur Numbers Up to 9 Colors. A39 - Nathaniel Dean:
Proof of the Prime Ladder Conjecture. A40 - Greg Doyle, Kenneth S. Williams:
A Positive-Definite Ternary Quadratic Form Does Not Represent All Positive Integers. A41 - Elif Tan:
General Sum Formula for Bi-periodic Fibonacci and Lucas Numbers. A42 - Lenny Jones, Tristan Phillips:
Arithmetic Progressions of Polygonal Numbers With Common Difference a Polygonal Number. A43 - Charles Helou:
Characterization of Representation Functions. A44 - Yoshiyuki Kitaoka:
Statistical Distribution of Roots of a Polynomial Modulo Primes. A45 - Peter J. C. Moses, Clark Kimberling:
Nested Interval Sequences of Positive Real Numbers. A46 - Guy Louchard, Mark Daniel Ward:
Asymptotic Analysis of Sums of Powers of Multinomial Coefficients: A Saddle Point Approach. A47 - Anshika Srivastava, Ram Krishna Pandey, Om Prakash:
On the Maximal Density of Integral Sets Whose Differences Avoiding the Weighted Fibonacci Numbers. A48 - Ebénézer Ntienjem:
Evaluation of Convolution Sums involving the Sum of Divisors Function for Levels 48 and 64. A49 - M. N. Chintamani, Prabal Paul, R. Thangadurai:
On Short Zero-sum Sequences Over Abelian p-groups. A50 - Bayley Larsen, Hunter Lehmann, Andrew Park, Leanne Robertson:
Coprime Mappings on n-sets. A51 - Lenny Jones, Lawrence Somer:
Primes in Shifted Sums of Lucas Sequences. A52 - Lukas Spiegelhofer:
A Digit Reversal Property for Stern Polynomials. A53 - Anand Hemmady, Adam Lott, Steven J. Miller:
When Almost All Sets Are Difference Dominated in Z/nZ. A54 - Bill Correll Jr., Randy W. Ho:
A Note on 3-free Permutations. A55 - Fritz Schweiger:
Invariant Measures for Continued Fractions With Variable Numerators. A56 - Béla Bajnok:
On Asymptotic Approximate Groups of Integers. A57 - Jordan Emme, Alexander Prikhod'ko:
On the Asymptotic Behavior of Density of Sets Defined by Sum-of-digits Function in Base 2. A58 - Dibyendu De, Subhajit Jana:
Image Partition Regularity over the Gaussian Integers. A59 - Michael Weba:
Finite Representations of the Summatory Divisor Function and Ramanujan’s τ-Function. A60 - Josef Florian, L'ubomíra Dvoráková:
A New Estimate on Complexity of Binary Generalized Pseudostandard Words. A61 - Bülent Köklüce:
Representation of Numbers by Sums of Squares and the Forms of Type x12+ x1x2+x22. A62 - Sourav Kanti Patra, Swapan Kumar Ghosh:
Concerning Partition Regular Matrices. A63 - Aart Blokhuis, Andries E. Brouwer, Benne de Weger:
Binomial Collisions and Near Collisions. A64 - Robert A. Beeler, Hannah Green, Russell T. Harper:
Peg Solitaire on Caterpillars. G1 - Adam S. Jobson, Levi Sledd, Susan Calcote White, D. Jacob Wildstrom:
Variations on Narrow Dots-and-Boxes and Dots-and-Triangles. G2 - Péter Árendás, Zoltán L. Blázsik, Bertalan Bodor, Csaba Szabó:
On the Complexity and Topology of Scoring Games: of Pirates and Treasure. G3 - C. D. A. Evans, Joel David Hamkins, Norman Lewis Perlmutter:
A Position in Infinite Chess With Game Value ω4. G4 - David G. C. Horrocks:
Playing End-Nim with a Muller Twist. G5
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