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ORCIDIntegers, Volume 16
Volume 16, 2016
- Hieu D. Nguyen:
A New Proof of the Prouhet-Tarry-Escott Problem. A1 - Tsz Ho Chan:
Product of a Number and its Multiplicative Inverse, Moments of L-functions and Exponential Sums. A2 - William D. Banks:
Every Natural Number is the Sum of Forty-nine Palindromes. A3 - Ray S. Melham:
Finite Reciprocal Sums in Which the Denominator of the Summand Contains Squares of Generalized Fibonacci Numbers. A4 - Andrei Asinowski, Alon Regev:
Triangulations with Few Ears: Symmetry Classes and Disjointness. A5 - Andrew Best, Patrick J. Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, Madeleine Weinstein:
Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals. A6 - Matt DeVos:
On a Generalization of the Cauchy-Davenport Theorem. A7 - Jeffrey S. Olson:
Variants of Bulgarian Solitaire. A8 - Karthik Nataraj:
Further Multivariate Generalizations of Euler's Pentagonal Number Theorem and the Rogers-Ramanujan Identities. A9 - Timothy B. Flowers, Shannon R. Lockard:
Identifying an m-ary Partition Identity Through an m-ary Tree. A10 - Elliot Catt, Michael Coons, Jordan Velich:
Strong Normality and Generalized Copeland--Erdős Numbers. A11 - Takashi Agoh:
Congruences Related to the Ankeny-Artin-Chowla Conjecture. A12 - Ke Gong:
An Elementary Approach to Character Sums over Multiplicative Subgroups. A13 - Borislav Karaivanov, Tzvetalin S. Vassilev:
On Certain Sums Involving the Legendre Symbol. A14 - Clark Kimberling:
Beatty Sequences and Trigonometric Functions. A15 - Matthew S. Mizuhara, James A. Sellers, Holly Swisher:
A Periodic Approach to Plane Partition Congruences. A16 - Arun P. Mani, Rebecca J. Stones:
Congruences for Weighted Number of Labeled Forests. A17 - Rishi Nath:
Symmetry in Maximal (s-1, s+1) Cores. A18 - Jesse Ira Deutsch:
A Non-classical Quadratic Form of Hessian Discriminant 4 is Universal Over Q[√5]. A19 - Sukumar Das Adhikari, Eshita Mazumdar, Bhavinkumar Kishor Sinh Moriya:
Relation Between Two Weighted Zero-sum Constants. A20 - Mustafa Ozen, Hua Wang, Demet Yalman:
Note on Leech-type Questions of Trees. A21 - Christian Axler:
New Bounds for the Prime Counting Function. A22 - Feng Qi, Xiao-Ting Shi, Bai-Ni Guo:
Two Explicit Formulas of the Schröder Numbers. A23 - George E. Andrews, Emeric Deutsch:
A Note On a Method of Erdős and the Stanley-Elder Theorems. A24 - M. S. Mahadeva Naika, D. S. Gireesh:
Congruences for 3-Regular Partitions With Designated Summands. A25 - Olcay Karaatli:
On Generalized Fibonacci and Lucas Numbers of the Form wkx2 ± 1. A26 - Benjamin V. Holt:
Derived Palintiple Families and Their Palinomials. A27 - Sophie Morier-Genoud, Valentin Ovsienko:
Extremal Set Theory, Cubic Forms on F2n and Hurwitz Square Identities. A28 - Péter Árendás, Ferenc Bencs, Zoltán Blázsik, Csaba Szabó:
Compositions of Complements of Graphs. A29 - Emrah Kiliç, Talha Arikan:
Ruehr's Identities with Two Additional Parameters. A30 - Xiaoyu He:
Geometric Progression-Free Sequences with Small Gaps II. A31 - Raj Kumar Mistri, Ram Krishna Pandey:
The Direct and Inverse Theorems on Integer Subsequence Sums Revisited. A32 - Allen R. Freedman, Tom C. Brown:
Sequences on Sets of Four Numbers. A33 - Alessio Moscariello:
On the Least Positive Solution to a Proportionally Modular Diophantine Inequality. A34 - Charles Celerier, David Joyner, Caroline Melles, David Phillips, Steven Walsh:
Edge-weighted Cayley Graphs and p-ary Bent Functions. A35 - Yong-Gao Chen, Vsevolod F. Lev:
Integer Sets with Identical Representation Functions. A36 - Abdulaziz M. Alanazi, Augustine O. Munagi, James A. Sellers:
An Infinite Family of Congruences for ℓ-regular Overpartitions. A37 - David Burt, Eli Goldstein, Sarah Manski, Steven J. Miller, Eyvindur Ari Palsson, Hong Suh:
Crescent Configurations. A38 - Takao Komatsu, László Szalay:
q-multiparameter-Bernoulli Polynomials and q-multiparameter-Cauchy Polynomials by Jackson's Integrals. A39 - Daniel Baczkowski, Justin Eitner:
Polygonal-Sierpinski-Riesel Sequences with Terms Having at Least Two Distinct Prime Divisors. A40 - Dmitry I. Khomovsky:
On the Relationship Between the Number of Solutions of Congruence Systems and the Resultant of Two Polynomials. A41 - Yingpu Deng, Yanbin Pan:
The Sum of Binomial Coefficients and Integer Factorization. A42 - Kellie Bresz, Lenny Jones, Alicia Lamarche, Maria Markovich:
A Problem Related to a Conjecture of Polignac. A43 - Youssef Fares, Keith Johnson:
The Valuative Capacities of the Sets of Sums of Two and of Three Squares. A44 - Ritumoni Sarma, Seema Kushwaha:
On Finite Semi-regular Continued Fractions. A45 - Vincent Pigno, Chris Pinner, Wasin Vipismakul:
The Lind-Lehmer Constant for Zm x Zn. A46 - Jean-Paul Allouche, Thomas Baruchel:
Variations on an Error-sum Function for the Convergents of Some Powers of e. A47 - Jacob Hicks, Katherine Thompson:
GoNIII: More Universal Quaternary Quadratic Forms. A48 - Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, Karl Mahlburg:
Approximate Polynomial Structure in Additively Large Sets. A49 - Patrick Cégielski, Serge Grigorieff, Irène Guessarian:
Characterizing Congruence Preserving Functions Z/nZ → Z/mZ Via Rational Polynomials. A50 - John Blythe Dobson:
A Characterization of Wilson-Lerch Primes. A51 - S. Khongsit, P. K. Saikia:
A Congruence for the Fermat Quotient Modulo p3. A52 - Jim Brown, Robert Cass, Kevin James, Rodney Keaton, Salvatore Parenti, Daniel Shankman:
Counting Tamely Ramified Extensions of Local Fields up to Isomorphism. A53 - John Y. Kim:
Integer Addition and Hamming Weight. A54 - Ayse Alaca, Jamilah Alanazi:
Representations by Quaternary Quadratic Forms with Coefficients 1, 2, 7 or 14. A55 - Krzysztof Górnisiewicz:
New Examples of Divisibility Sequences. A56 - Nikolai A. Krylov, Zhangyuan Li:
A Congruence Property of Irreducible Laguerre Polynomials in Two Variables. A57 - John Engbers, Christopher J. Stocker:
Two Combinatorial Proofs of Identities Involving Sums of Powers of Binomial Coefficients. A58 - William Linz, Edna Jones:
r-Completeness of Sequences of Positive Integers. A59 - Tomasz Schoen, Ilya D. Shkredov:
A Remark on A+B and A-A for Compact Sets in Rn. A60 - Baris Kendirli:
Fourier Coefficients of a Class of Eta Quotients. A61 - Gabriel Durham:
Representation of Integers by Ternary Quadratic Forms: A Geometric Approach. A62 - Tom Edgar, Hailey Olafson, James Van Alstine:
Approximating the Fibonacci Sequence. A63 - Kevin G. Hare, Ghislain McKay:
Some Properties of Even Moments of Uniform Random Walks. A64 - Randell Heyman:
Evaluationally Coprime Linear Polynomials. A65 - James Mc Laughlin:
Refinements of Some Partition Inequalities. A66 - Pallab Kanti Dey, Balesh Kumar:
An Analogue of Artin's Primitive Root Conjecture. A67 - Nathan Fox:
Quasipolynomial Solutions to the Hofstadter Q-Recurrence. A68 - Hugo Jenkins:
Repeated Binomial Coefficients and High-Degree Curves. A69 - Foad Khoshnam, Dustin Moody:
High Rank Elliptic Curves with Torsion Z/4Z Induced by Kihara's Elliptic Curves. A70 - Daniel Birmajer, Juan B. Gil, Michael D. Weiner:
Linear Recurrence Sequences With Indices in Arithmetic Progression and Their Sums. A71 - Vladimir Shevelev, Peter J. C. Moses:
Alice and Bob Go to Dinner: A Variation on Ménage. A72 - Takashi Agoh:
On Miki's Identity for Bernoulli Numbers. A73 - James M. Hammer, Joshua Harrington, Lenny Jones:
On the Congruence xx ≡ x (mod n). A74 - Ilya D. Shkredov:
On Tripling Constant of Multiplicative Subgroups. A75 - Sajed Haque, Jeffrey O. Shallit:
Discriminators and k-Regular Sequences. A76 - Ajai Choudhry:
Equal Sums of Like Powers with Minimum Number of Terms. A77 - Cormac O'Sullivan:
Asymptotics for the Partial Fractions of the Restricted Partition Generating Function II. A78 - Stan Wagon:
Round Formulas for Exponential Polynomials and the Incomplete Gamma Function. A79 - Max Lewis, Victor Scharaschkin:
k-Lehmer and k-Carmichael Numbers. A80 - Patrick Solé, Yuyang Zhu:
An Asymptotic Robin Inequality. A81 - Khadija Mbarki:
On a Cubic Moment for Sums of Hecke Eigenvalues. A82 - Craig Timmons:
Upper Bounds for Bh[g]-sets With Small h. A83 - Norichika Matsuki:
On the Number of Solutions of a Diophantine Equation Over a Finite Field. A84 - Mauro Di Nasso:
Intersections of Sets of Distance. A85 - Melissa A. Huggan, Brett Stevens:
Polynomial Time Graph Families for Arc Kayles. A86 - Sai Teja Somu, Ram Krishna Pandey:
On Unavoidable Obstructions in Gaussian Walks. A87 - Carsten Elsner:
On Reciprocal Sums Formed by Solutions of Pell's Equation. A88 - Marcos J. González, Florian Luca, V. Janitzio Mejía Huguet:
On Sierpinski Numbers of the Form φ(N)/2n. A89 - Steven Chaplick, Piotr Micek, Torsten Ueckerdt, Veit Wiechert:
A Note on Concurrent Graph Sharing Games. G1 - Erik Järleberg, Jonas Sjöstrand:
Pomax Games -- A Family of Integer-valued Partizan Games Played on Posets. G2 - Mark Spindler:
Equality Classes of Nim Positions under Misère Play. G3 - Madeleine Weinstein:
Invariance of the Sprague-Grundy Function for Variants of Wythoff's Game. G4 - Ryohei Miyadera, Maakito Inoue, Masanori Fukui:
Impartial Chocolate Bar Games with a Pass. G5
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