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ORCIDIntegers, Volume 19
Volume 19, 2019
- Neranga Fernando:
A Note on the Permutation Behaviour of the Polynomial gn, q. A1 - Ivica Martinjak, Helmut Prodinger:
Complementary Families of the Fibonacci-Lucas Relations. A2 - Zachary Chaney, Jed Menard, Connor Mattes, Timothy Trujillo:
Triangular Ramsey Numbers. A3 - Idris David Mercer:
Finite Searches, Chowla's Cosine Problem, and Large Newman Polynomials. A4 - Neil Hindman, Dona Strauss:
Some New Examples of Infinite Image Partition Regular Matrices. A5 - István Mezö, José Luis Ramírez, Chen-Ying Wang:
On Generalized Derangements and Some Orthogonal Polynomials. A6 - Victoria Iba, Paul Jenkins, Merrill Warnick:
Divisibility Properties of Coefficients of Modular Functions in Genus Zero Levels. A7 - Olivier Rozier:
Parity Sequences of the 3x+1 Map on the 2-adic Integers and Euclidean Embedding. A8 - Takashi Agoh:
Determinantal Expressions for Bernoulli Polynomials. A9 - Abhishek Juyal, Shiv Datt Kumar, Dustin Moody:
Elliptic Curves Arising From the Triangular Numbers. A10 - Liang Sun:
Positive-definite Quadratic Forms Representing Finite Sets of Integers. A11 - Katherine Cordwell, Alyssa Epstein, Anand Hemmandy, Steven J. Miller, Eyvindur A. Palsson, Aaditya Sharma, Stefan Steinerberger, Yen Nhi Truong Vu:
On Algorithms to Calculate Integer Complexity. A12 - Gérsica Freitas, José Othon Lopes, Diego Marques:
On Congruences Involving Some Fibonomial Coefficients. A13 - Darij Grinberg:
On Binomial Coefficients Modulo Squares of Primes. A14 - Thomas Koshy:
Gibonacci Extensions of a Lucas Delight. A15 - Dominic Klyve, Melissa Piddle, Kathryn E. Temple:
Estimating the Density of the Abundant Numbers. A16 - Sajal Kumar Mukherjee, A. K. Bhuniya:
A Combinatorial Proof of an Ordered-partition Expansion of Determinants Given by Insko, Johnson and Sullivan. A17 - Maria Axenovich, John L. Goldwasser, Bernard Lidický, Ryan R. Martin, David Offner, John M. Talbot, Michael Young:
Polychromatic Colorings on the Integers. A18 - Ladislav Skula:
Prime Power Divisors of Mersenne Numbers and Wieferich Primes of Higher Order. A19 - José Manuel Rodríguez Caballero:
Integers Which Cannot Be Partitioned Into an Even Number of Consecutive Parts. A20 - Tianxin Cai, Liuquan Wang, Yong Zhang:
Perfect Numbers and Fibonacci Primes II. A21 - Paul Kinlaw:
Lower Bounds for Numbers With Three Prime Factors. A22 - Yu-Hong Guo:
Short Proofs of Euler-type Identities for Compositions. A23 - John Asplund, N. Bradley Fox:
Minimum Coprime Labelings for Operations on Graphs. A24 - Alexander E. Patkowski:
Partitions Related to Positive Definite Binary Quadratic Forms. A25 - Anthony Zaleski:
Explicit Expressions for the Moments of the Size of an (n, dn-1)-core Partition With Distinct Parts. A26 - Jan-Hendrik de Wiljes:
Cycles in the Coprime Hypergraph of Integers. A27 - Hacène Belbachir, S. Hadj-Brahim:
Some Explicit Formulas for Euler-Genocchi Polynomials. A28 - Matthias Beck, Serkan Hosten, Matthias Schymura:
Lonely Runner Polyhedra. A29 - Fritz Schweiger:
Invariant Measures for New Classes of Piecewise Fractional Linear Maps. A30 - Oscar E. González:
An Observation of Rankin on Hankel Determinants. A31 - Jeske Glenn, Christopher O'Neill, Vadim Ponomarenko, Benjamin Sepanski:
Augmented Hilbert Series of Numerical Semigroups. A32 - Peng Gao, Liangyi Zhao:
Primes p ≡ 1 mod d and a(p-1)/d ≡ 1 mod p. A33 - Gregory A. Freiman, Oriol Serra, Christoph Spiegel:
Additive Volume of Sets Contained in Few Arithmetic Progressions. A34 - Tomohiro Yamada:
Quasiperfect Numbers With the Same Exponent. A35 - Brian D. Sittinger, Marina C. Morales:
The Unit Structure in a Quotient Ring of a Quadratic Number Field. A36 - Fengjuan Chen:
On Exactly k-deficient-perfect Numbers. A37 - Kurt Girstmair:
Inversion of Two Cyclotomic Matrices. A38 - Min Zhang, Jinjiang Li:
On a Diophantine Equation With Three Prime Variables. A39 - George Humby:
An Alternative Proof of Melham's Identities. A40 - László Németh:
Tetrahedron Trinomial Coefficient Transform. A41 - David Ross RichmanAttila Pethö:
A Sum Involving the Greatest-Integer Function. A42 - Ofir Schnabel, Jamie Simpson:
A New Approach to the Fraenkel Conjecture for Low n Values. A43 - Linli Wei, Huixue Lao:
The Mean Value of a Hybrid Arithmetic Function Associated to Fourier Coefficieints of Cusp Forms. A44 - Greg Doyle, Joseph B. Muskat, Lerna Pehlivan, Kenneth S. Williams:
Positive Integers Represented by Regular Primitive Positive-definite Integral Ternary Quadratic Forms. A45 - Jean-Luc Baril, Sergey Kirgizov, Armen Petrossian:
Motzkin Paths With a Restricted First Return Decomposition. A46 - Shane Chern:
An Extension of a Formula of Jovovic. A47 - Peter Shiu:
On a Result of Bambah and Chowla. A48 - Tanbir Ahmed, Arie Bialostocki, Thang Pham, Le Anh Vinh:
Power Sum Polynomials as Relaxed EGZ Polynomials. A49 - Attila Pethö, Jörg M. Thuswaldner, Mario Weitzer:
The Finiteness Property for Shift Radix Systems With General Parameters. A50 - Barry Brent:
Hecke Groups, Linear Recurrences, and Kepler Limits. A51 - Victor Kowalenko:
Generalized Cosecant Numbers and the Hurwitz Zeta Function. A52 - Ramin Naimi, Eric Sundberg:
A Combinatorial Problem Solved by a Meta-Fibonacci Recurrence Relation. A53 - William Banks, Paul Pollack, Carl Pomerance:
Symmetric Primes Revisited. A54 - Benedict Vasco Normenyo, Bir Kafle, Alain Togbé:
Repdigits as Sums of Two Fibonacci Numbers and Two Lucas Numbers. A55 - Jean-Marie De Koninck, Nicolas Doyon, Vincent Ouellet:
The Limit Distribution of the Middle Prime Factors of an Integer. A56 - Takao Komatsu, Vichian Laohakosol, Jittinart Rattanamoong:
Complex Cantor Series, Cantor Products and Their Independence. A57 - Matt Larson:
Power Maps in Finite Groups. A58 - Lukas Spiegelhofer:
Approaching Cusick's Conjecture on the Sum-of-digits Function. A59 - Hùng Viùt Chu, Noah Luntzlara, Steven J. Miller, Lily Shao:
Infinite Families of Partitions Into MSTD Subsets. A60 - Peter Fletcher, Camron Withrow:
Primes p Having at Most One Divisor of p-1 of a Specified Multiplicative Order. A61 - A. David Christopher:
Euler-type Recurrence Relation for Arbitrary Arithmetical Function. A62 - Tamás Lengyel:
On p-adic Properties of Some Fibonacci and Lucas Numbers. A63 - Jittinart Rattanamoong, Tuangrat Chaichana:
Continued Fractions of Certain Series. A64 - Martin W. Bunder:
Alternative Solutions to Linear Recurrence Equations. A65 - Sándor Z. Kiss, Csaba Sándor:
On the Structure of Sets Which Have Coinciding Representation Functions. A66 - Randell Heyman:
Cardinality of a Floor Function Set. A67 - David G. C. Horrocks, Jonathan H. Horrocks:
Sprague-Grundy Values of Modular Nim. G1 - Jörn Steuding, Klaus Volkert:
A Diophantine Problem Related to a Nim-like Game. G2 - Antoine Dailly, Julien Moncel, Aline Parreau:
Connected Subtraction Games on Subdivided Stars. G3 - Aviezri S. Fraenkel, Urban Larsson:
Games on Arbitrarily Large Rats and Playability. G4
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