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