Chapter
RAMSEY TYPE RESULTS ON THE SOLVABILITY OF CERTAIN EQUATIONS IN ZM
A COMBINATORIAL PROOF OF S-ADICITY FOR SEQUENCES WITH LINEAR COMPLEXITY
ON INTERPOLATING POWER SERIES
CAPTURED-REVERSIBLE MOVES AND STAR DECOMPOSITION DOMINATION IN HEX
ON BOUNDS FOR TWO DAVENPORT-TYPE CONSTANTS
ON THE DIOPHANTINE EQUATION x² - kxy + y² + lx = 0
ON A SEQUENCE OF POLYNOMIALS WITH HYPOTHETICALLY INTEGER COEFFICIENTS
ON DIVISIBILITY PROPERTIES OF SOME DIFFERENCES OF THE CENTRAL BINOMIAL COEFFICIENTS AND CATALAN NUMBERS
GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS
THE DISTRIBUTION OF SOLUTIONS TO xy = n (mod a) WITH AN APPLICATION TO FACTORING INTEGERS
DISTRIBUTION LAWS OF PAIRS OF DIVISORS
SHARP THRESHOLD ASYMPTOTICS FOR THE EMERGENCE OF ADDITIVE BASES
ON AN ANALOGUE TO THE LUCAS-LEHMER-RIESEL TEST USING ELLIPTIC CURVES
RESTRICTED INTEGER PARTITION FUNCTIONS
THICK SUBSETS THAT DO NOT CONTAIN ARITHMETIC PROGRESSIONS
COFINITE INDUCED SUBGRAPHS OF IMPARTIAL COMBINATORIAL GAMES: AN ANALYSIS OF CIS-NIM
TAKING THE CONVOLUTED OUT OF BERNOULLI CONVOLUTIONS: A DISCRETE APPROACH
SOME RESULTS ON BALANCING, COBALANCING, (a, b)-TYPE BALANCING, AND (a, b)-TYPE COBALANCING NUMBERS
VALUATIONS AND COMBINATORICS OF TRUNCATED EXPONENTIAL SUMS
ON q-ANALOG OF WOLSTENHOLME TYPE CONGRUENCES FOR MULTIPLE HARMONIC SUMS
ON THE FOURIER TRANSFORM OF THE GREATEST COMMON DIVISOR
WEIGHTED LONESUM MATRICES AND THEIR GENERATING FUNCTION
ON MULTIPLICATIVE SIDON SETS
SOME WEIGHTED SUMS OF PRODUCTS OF LUCAS SEQUENCES
ADDITIVE ENERGY AND THE FALCONER DISTANCE PROBLEM IN FINITE FIELDS
A COMBINATORIAL INTERPRETATION OF THE CATALAN AND BELL NUMBER DIFFERENCE TABLES
PISOT NUMBERS AND CHROMATIC ZEROS
COORDINATE SUM AND DIFFERENCE SETS OF d-DIMENSIONAL MODULAR HYPERBOLAS
AN INFINITE FAMILY OF RECURSIVE FORMULAS GENERATING POWER MOMENTS OF KLOOSTERMAN SUMS WITH TRACE ONE ARGUMENTS: O(2n + 1, 2r) CASE
THE DIOPHANTINE EQUATION Fyn + Fxn+1 = Fxm
A NOTE ON THE MULTIPLICATIVE STRUCTURE OF AN ADDITIVELY SHIFTED PRODUCT SET AA + 1
REPRESENTATIONS OF SQUARES BY CERTAIN SEPTENARY QUADRATIC FORMS
CATALAN NUMBERS MODULO A PRIME POWER
GONI: PRIMES REPRESENTED BY BINARY QUADRATIC FORMS
A COMBINATORIAL PROOF OF TWO EQUIVALENT IDENTITIES BY FREE 2-MOTZKIN PATHS
IMPROVING THE CHEN AND CHEN RESULT FOR ODD PERFECT NUMBERS
FINITE SUMS THAT INVOLVE RECIPROCALS OF PRODUCTS OF GENERALIZED FIBONACCI NUMBERS
COMPOSITIONS CONSTRAINED BY GRAPH LAPLACIAN MINORS
EDGE GROWTH IN GRAPH SQUARES
NEW BOUNDS AND COMPUTATIONS ON PRIME-INDEXED PRIMES
GAP DISTRIBUTION OF FAREY FRACTIONS UNDER SOME DIVISIBILITY CONSTRAINTS
ONE FINITE SUMS AND INTEGRAL REPRESENTATIONS
FINE-WILF GRAPHS AND THE GENERALIZED FINE-WILF THEOREM
ON THE LEAST SIGNIFICANT 2-ADIC AND TERNARY DIGITS OF CERTAIN STIRLING NUMBERS
ON THE DENSITY OF HAPPY NUMBERS
A REMARK ON RELATIVELY PRIME SETS
INTERSECTING RATIONAL BEATTY SEQUENCES
NEW PROOFS FOR THE p, q-ANALOGUE OF CHU-VANDERMONDE’S IDENTITY
REMARKS ON TINY ZERO-SUM SEQUENCES
A NOTE ON IRREGULARITIES OF DISTRIBUTION
GENERALIZING DELANNOY NUMBERS VIA COUNTING WEIGHTED LATTICE PATHS
ON THE LEAST PRIMITIVE ROOT EXPRESSIBLE AS A SUM OF TWO SQUARES
STABILIZATION OF COEFFICIENTS FOR PARTITION POLYNOMIALS
ON SETS WITH MORE RESTRICTED SUMS THAN DIFFERENCES
ON AN INCOMPLETE ARGUMENT OF ERDŐ
S ON THE IRRATIONALITY OF LAMBERT SERIES
GENERALIZATION OF UNIVERSAL PARTITION AND BIPARTITION THEOREMS
SOME WEIGHTED SUMS OF POWERS OF FIBONACCI POLYNOMIALS
CONGRUENCES OF CONCAVE COMPOSITION FUNCTIONS
DISJUNCTIVE RADO NUMBERS FOR ax1 + x2 = x3 AND bx1 + x2 = x3
HOW TO WRITE A PERMUTATION AS A PRODUCT OF INVOLUTIONS (AND WHY YOU MIGHT CARE)
ON THE HIGHER-DIMENSIONAL GENERALIZATION OF A PROBLEM OF ROTH
INDEPENDENT DIVISIBILITY PAIRS ON THE SET OF INTEGERS FROM 1 TO N
CYCLES IN REPEATED EXPONENTIATION MODULO pn
COMPUTATION OF AN IMPROVED LOWER BOUND TO GIUGA’S PRIMALITY CONJECTURE
CONVOLUTION SUMS INVOLVING LEGENDRE-JACOBI SYMBOL AND DIVISOR FUNCTIONS
OPTIMAL PRIMITIVE SETS WITH RESTRICTED PRIMES
A ZERO-SUM THEOREM OVER Z
ON THE DIVISIBILITY OF an ± bn
BY POWERS OF n
LOWER BOUNDS FOR SUMSETS OF MULTISETS IN Z2p
ON SEQUENCES WITHOUT GEOMETRIC PROGRESSIONS
INCLUSION-EXCLUSION POLYNOMIALS WITH LARGE COEFFICIENTS
AN EXPLICIT FORMULA FOR HIGHER ORDER BERNOULLI POLYNOMIALS OF THE SECOND KIND
A NOTE ON A CONJECTURE OF ERDŐ
S, GRAHAM, AND SPENCER
SQUARES AND DIFFERENCE SETS IN FINITE FIELDS
A FAMILY OF FIBONACCI-LIKE CONDITIONAL SEQUENCES
ON THE RESIDUE CLASSES OF π
(n) MODULO t
S-DIOPHANTINE QUADRUPLES WITH TWO PRIMES CONGRUENT TO 3 MODULO 4
THE AVERAGE LARGEST PRIME FACTOR
Integers
：Annual Volume 2013
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