Integers

1 - PREFACE TO VOLUME 13 OF INTEGERS [Seite 5]
2 - CONTENTS [Seite 7]
3 - SIMPLE ARITHMETICAL CRITERIA FOR IRREDUCIBILITY OF POLYNOMIALS WITH INTEGER COEFFICIENTS [Seite 13]
4 - A SHORT PROOF OF A RESULT OF GICA AND LUCA [Seite 34]
5 - COUNTING HERON TRIANGLES WITH CONSTRAINTS [Seite 36]
6 - RAMSEY TYPE RESULTS ON THE SOLVABILITY OF CERTAIN EQUATIONS IN ZM [Seite 53]
7 - A COMBINATORIAL PROOF OF S-ADICITY FOR SEQUENCES WITH LINEAR COMPLEXITY [Seite 62]
8 - ON INTERPOLATING POWER SERIES [Seite 81]
9 - CAPTURED-REVERSIBLE MOVES AND STAR DECOMPOSITION DOMINATION IN HEX [Seite 87]
10 - ON BOUNDS FOR TWO DAVENPORT-TYPE CONSTANTS [Seite 101]
11 - ON THE DIOPHANTINE EQUATION x² - kxy + y² + lx = 0 [Seite 104]
12 - ON A SEQUENCE OF POLYNOMIALS WITH HYPOTHETICALLY INTEGER COEFFICIENTS [Seite 112]
13 - ON DIVISIBILITY PROPERTIES OF SOME DIFFERENCES OF THE CENTRAL BINOMIAL COEFFICIENTS AND CATALAN NUMBERS [Seite 141]
14 - GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS [Seite 161]
15 - THE DISTRIBUTION OF SOLUTIONS TO xy = n (mod a) WITH AN APPLICATION TO FACTORING INTEGERS [Seite 174]
16 - DISTRIBUTION LAWS OF PAIRS OF DIVISORS [Seite 194]
17 - SHARP THRESHOLD ASYMPTOTICS FOR THE EMERGENCE OF ADDITIVE BASES [Seite 207]
18 - ON AN ANALOGUE TO THE LUCAS-LEHMER-RIESEL TEST USING ELLIPTIC CURVES [Seite 224]
19 - RESTRICTED INTEGER PARTITION FUNCTIONS [Seite 240]
20 - BRUN MEETS SELMER [Seite 249]
21 - THICK SUBSETS THAT DO NOT CONTAIN ARITHMETIC PROGRESSIONS [Seite 261]
22 - COFINITE INDUCED SUBGRAPHS OF IMPARTIAL COMBINATORIAL GAMES: AN ANALYSIS OF CIS-NIM [Seite 271]
23 - PIRATES AND TREASURE [Seite 298]
24 - TAKING THE CONVOLUTED OUT OF BERNOULLI CONVOLUTIONS: A DISCRETE APPROACH [Seite 316]
25 - SOME RESULTS ON BALANCING, COBALANCING, (a, b)-TYPE BALANCING, AND (a, b)-TYPE COBALANCING NUMBERS [Seite 328]
26 - VALUATIONS AND COMBINATORICS OF TRUNCATED EXPONENTIAL SUMS [Seite 342]
27 - STRICT SCHUR NUMBERS [Seite 358]
28 - ON q-ANALOG OF WOLSTENHOLME TYPE CONGRUENCES FOR MULTIPLE HARMONIC SUMS [Seite 370]
29 - ON THE FOURIER TRANSFORM OF THE GREATEST COMMON DIVISOR [Seite 381]
30 - WEIGHTED LONESUM MATRICES AND THEIR GENERATING FUNCTION [Seite 397]
31 - ON MULTIPLICATIVE SIDON SETS [Seite 404]
32 - SOME WEIGHTED SUMS OF PRODUCTS OF LUCAS SEQUENCES [Seite 414]
33 - ADDITIVE ENERGY AND THE FALCONER DISTANCE PROBLEM IN FINITE FIELDS [Seite 423]
34 - A COMBINATORIAL INTERPRETATION OF THE CATALAN AND BELL NUMBER DIFFERENCE TABLES [Seite 433]
35 - PISOT NUMBERS AND CHROMATIC ZEROS [Seite 452]
36 - COORDINATE SUM AND DIFFERENCE SETS OF d-DIMENSIONAL MODULAR HYPERBOLAS [Seite 459]
37 - AN INFINITE FAMILY OF RECURSIVE FORMULAS GENERATING POWER MOMENTS OF KLOOSTERMAN SUMS WITH TRACE ONE ARGUMENTS: O(2n + 1, 2r) CASE [Seite 475]
38 - THE DIOPHANTINE EQUATION Fyn + Fxn+1 = Fxm [Seite 491]
39 - A NOTE ON THE MULTIPLICATIVE STRUCTURE OF AN ADDITIVELY SHIFTED PRODUCT SET AA + 1 [Seite 508]
40 - REPRESENTATIONS OF SQUARES BY CERTAIN SEPTENARY QUADRATIC FORMS [Seite 516]
41 - CATALAN NUMBERS MODULO A PRIME POWER [Seite 534]
42 - GONI: PRIMES REPRESENTED BY BINARY QUADRATIC FORMS [Seite 538]
43 - A COMBINATORIAL PROOF OF TWO EQUIVALENT IDENTITIES BY FREE 2-MOTZKIN PATHS [Seite 556]
44 - IMPROVING THE CHEN AND CHEN RESULT FOR ODD PERFECT NUMBERS [Seite 564]
45 - FINITE SUMS THAT INVOLVE RECIPROCALS OF PRODUCTS OF GENERALIZED FIBONACCI NUMBERS [Seite 572]
46 - COMPOSITIONS CONSTRAINED BY GRAPH LAPLACIAN MINORS [Seite 583]
47 - EDGE GROWTH IN GRAPH SQUARES [Seite 605]
48 - NEW BOUNDS AND COMPUTATIONS ON PRIME-INDEXED PRIMES [Seite 625]
49 - GAP DISTRIBUTION OF FAREY FRACTIONS UNDER SOME DIVISIBILITY CONSTRAINTS [Seite 646]
50 - ONE FINITE SUMS AND INTEGRAL REPRESENTATIONS [Seite 661]
51 - FINE-WILF GRAPHS AND THE GENERALIZED FINE-WILF THEOREM [Seite 673]
52 - ON THE LEAST SIGNIFICANT 2-ADIC AND TERNARY DIGITS OF CERTAIN STIRLING NUMBERS [Seite 691]
53 - ON THE DENSITY OF HAPPY NUMBERS [Seite 701]
54 - A REMARK ON RELATIVELY PRIME SETS [Seite 726]
55 - INTERSECTING RATIONAL BEATTY SEQUENCES [Seite 740]
56 - NEW PROOFS FOR THE p, q-ANALOGUE OF CHU-VANDERMONDE'S IDENTITY [Seite 753]
57 - REMARKS ON TINY ZERO-SUM SEQUENCES [Seite 764]
58 - A NOTE ON IRREGULARITIES OF DISTRIBUTION [Seite 772]
59 - GENERALIZING DELANNOY NUMBERS VIA COUNTING WEIGHTED LATTICE PATHS [Seite 776]
60 - ON THE LEAST PRIMITIVE ROOT EXPRESSIBLE AS A SUM OF TWO SQUARES [Seite 809]
61 - STABILIZATION OF COEFFICIENTS FOR PARTITION POLYNOMIALS [Seite 816]
62 - ON SETS WITH MORE RESTRICTED SUMS THAN DIFFERENCES [Seite 831]
63 - ON AN INCOMPLETE ARGUMENT OF ERDO [Seite ON AN INCOMPLETE ARGUMENT OF ERDO]
S ON THE IRRATIONALITY OF LAMBERT SERIES - 855 [Seite 855]
64 - GENERALIZATION OF UNIVERSAL PARTITION AND BIPARTITION THEOREMS [Seite 861]
65 - SOME WEIGHTED SUMS OF POWERS OF FIBONACCI POLYNOMIALS [Seite 872]
66 - CONGRUENCES OF CONCAVE COMPOSITION FUNCTIONS [Seite 891]
67 - DISJUNCTIVE RADO NUMBERS FOR ax1 + x2 = x3 AND bx1 + x2 = x3 [Seite DISJUNCTIVE RADO NUMBERS FOR ax1 + x2 = x3 AND bx1 + x2 = x3]
- 898 [Seite 898]
68 - HOW TO WRITE A PERMUTATION AS A PRODUCT OF INVOLUTIONS (AND WHY YOU MIGHT CARE) [Seite 909]
69 - ON THE HIGHER-DIMENSIONAL GENERALIZATION OF A PROBLEM OF ROTH [Seite 929]
70 - INDEPENDENT DIVISIBILITY PAIRS ON THE SET OF INTEGERS FROM 1 TO N [Seite 936]
71 - CYCLES IN REPEATED EXPONENTIATION MODULO pn [Seite 949]
72 - COMPUTATION OF AN IMPROVED LOWER BOUND TO GIUGA'S PRIMALITY CONJECTURE [Seite 956]
73 - CONVOLUTION SUMS INVOLVING LEGENDRE-JACOBI SYMBOL AND DIVISOR FUNCTIONS [Seite 970]
74 - OPTIMAL PRIMITIVE SETS WITH RESTRICTED PRIMES [Seite 984]
75 - A ZERO-SUM THEOREM OVER Z [Seite 994]
76 - ON THE DIVISIBILITY OF an ± bn [Seite ON THE DIVISIBILITY OF an ± bn]
BY POWERS OF n - 1005 [Seite 1005]
77 - LOWER BOUNDS FOR SUMSETS OF MULTISETS IN Z2p [Seite LOWER BOUNDS FOR SUMSETS OF MULTISETS IN Z2p]
- 1011 [Seite 1011]
78 - ON SEQUENCES WITHOUT GEOMETRIC PROGRESSIONS [Seite 1028]
79 - INCLUSION-EXCLUSION POLYNOMIALS WITH LARGE COEFFICIENTS [Seite 1033]
80 - AN EXPLICIT FORMULA FOR HIGHER ORDER BERNOULLI POLYNOMIALS OF THE SECOND KIND [Seite 1036]
81 - A NOTE ON A CONJECTURE OF ERDO [Seite A NOTE ON A CONJECTURE OF ERDO]
S, GRAHAM, AND SPENCER - 1043 [Seite 1043]
82 - SQUARES AND DIFFERENCE SETS IN FINITE FIELDS [Seite 1049]
83 - A FAMILY OF FIBONACCI-LIKE CONDITIONAL SEQUENCES [Seite 1054]
84 - ON THE RESIDUE CLASSES OF p [Seite ON THE RESIDUE CLASSES OF p]
(n) MODULO t - 1068 [Seite 1068]
85 - S-DIOPHANTINE QUADRUPLES WITH TWO PRIMES CONGRUENT TO 3 MODULO 4 [Seite 1078]
86 - THE AVERAGE LARGEST PRIME FACTOR [Seite 1087]