Integers: Annual Volume 2013, Volum 2013

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Bruce Landman
Walter de Gruyter GmbH & Co KG, 18 de juny 2014 - 1091 pàgines
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"Integers" is a refereedonline journal devoted to research in the area of combinatorial number theory. It publishes original research articles in combinatorics and number theory. Topics covered by the journal include additive number theory, multiplicative number theory, sequences and sets, extremal combinatorics, Ramsey theory, elementary number theory, classical combinatorial problems, hypergraphs, and probabilistic number theory. Integers also houses a combinatorial games section.

This work presents all papers of the 2013 volume in book form.

 

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Continguts

COMPOSITIONS CONSTRAINED BY GRAPH LAPLACIAN MINORS
571
EDGE GROWTH IN GRAPH SQUARES
593
NEW BOUNDS AND COMPUTATIONS ON PRIMEINDEXED PRIMES
613
GAP DISTRIBUTION OF FAREY FRACTIONS UNDER SOME DIVISIBILITY CONSTRAINTS
634
ONE FINITE SUMS AND INTEGRAL REPRESENTATIONS
649
FINEWILF GRAPHS AND THE GENERALIZED FINEWILF THEOREM
661
ON THE LEAST SIGNIFICANT 2ADIC AND TERNARY DIGITS OF CERTAIN STIRLING NUMBERS ...
679
ON THE DENSITY OF HAPPY NUMBERS
689

ON THE DIOPHANTINE EQUATION x² kxy + y² + lx 0
92
ON A SEQUENCE OF POLYNOMIALS WITH HYPOTHETICALLY INTEGER COEFFICIENTS
100
ON DIVISIBILITY PROPERTIES OF SOME DIFFERENCES OF THE CENTRAL BINOMIAL COEFFICIENTS AND CATALAN NUMBERS ...
129
GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS
149
THE DISTRIBUTION OF SOLUTIONS TO xy n mod a WITH AN APPLICATION TO FACTORING INTEGERS ...
162
DISTRIBUTION LAWS OF PAIRS OF DIVISORS
182
SHARP THRESHOLD ASYMPTOTICS FOR THE EMERGENCE OF ADDITIVE BASES
195
ON AN ANALOGUE TO THE LUCASLEHMERRIESEL TEST USING ELLIPTIC CURVES
212
RESTRICTED INTEGER PARTITION FUNCTIONS
228
BRUN MEETS SELMER
237
THICK SUBSETS THAT DO NOT CONTAIN ARITHMETIC PROGRESSIONS
249
AN ANALYSIS OF CISNIM
259
PIRATES AND TREASURE
286
A DISCRETE APPROACH
304
SOME RESULTS ON BALANCING COBALANCING a bTYPE BALANCING AND a bTYPE COBALANCING NUMBERS ...
316
VALUATIONS AND COMBINATORICS OF TRUNCATED EXPONENTIAL SUMS
330
STRICT SCHUR NUMBERS
346
ON qANALOG OF WOLSTENHOLME TYPE CONGRUENCES FOR MULTIPLE HARMONIC SUMS ...
358
ON THE FOURIER TRANSFORM OF THE GREATEST COMMON DIVISOR
369
WEIGHTED LONESUM MATRICES AND THEIR GENERATING FUNCTION
385
ON MULTIPLICATIVE SIDON SETS
392
SOME WEIGHTED SUMS OF PRODUCTS OF LUCAS SEQUENCES
402
ADDITIVE ENERGY AND THE FALCONER DISTANCE PROBLEM IN FINITE FIELDS
411
A COMBINATORIAL INTERPRETATION OF THE CATALAN AND BELL NUMBER DIFFERENCE TABLES ...
421
PISOT NUMBERS AND CHROMATIC ZEROS
440
COORDINATE SUM AND DIFFERENCE SETS OF dDIMENSIONAL MODULAR HYPERBOLAS
447
O2n + 1 2r CASE
463
THE DIOPHANTINE EQUATION Fyn + Fxn+1 Fxm
479
A NOTE ON THE MULTIPLICATIVE STRUCTURE OF AN ADDITIVELY SHIFTED PRODUCT SET AA + 1 ...
496
REPRESENTATIONS OF SQUARES BY CERTAIN SEPTENARY QUADRATIC FORMS
504
CATALAN NUMBERS MODULO A PRIME POWER
522
PRIMES REPRESENTED BY BINARY QUADRATIC FORMS
526
A COMBINATORIAL PROOF OF TWO EQUIVALENT IDENTITIES BY FREE 2MOTZKIN PATHS ...
544
IMPROVING THE CHEN AND CHEN RESULT FOR ODD PERFECT NUMBERS
552
FINITE SUMS THAT INVOLVE RECIPROCALS OF PRODUCTS OF GENERALIZED FIBONACCI NUMBERS ...
560
A REMARK ON RELATIVELY PRIME SETS
714
INTERSECTING RATIONAL BEATTY SEQUENCES
728
NEW PROOFS FOR THE p qANALOGUE OF CHUVANDERMONDES IDENTITY
741
REMARKS ON TINY ZEROSUM SEQUENCES
752
A NOTE ON IRREGULARITIES OF DISTRIBUTION
760
GENERALIZING DELANNOY NUMBERS VIA COUNTING WEIGHTED LATTICE PATHS
764
ON THE LEAST PRIMITIVE ROOT EXPRESSIBLE AS A SUM OF TWO SQUARES
797
STABILIZATION OF COEFFICIENTS FOR PARTITION POLYNOMIALS
804
ON SETS WITH MORE RESTRICTED SUMS THAN DIFFERENCES
819
ON AN INCOMPLETE ARGUMENT OF ERDŐ S ON THE IRRATIONALITY OF LAMBERT SERIES
843
GENERALIZATION OF UNIVERSAL PARTITION AND BIPARTITION THEOREMS
849
SOME WEIGHTED SUMS OF POWERS OF FIBONACCI POLYNOMIALS
860
CONGRUENCES OF CONCAVE COMPOSITION FUNCTIONS
879
DISJUNCTIVE RADO NUMBERS FOR ax1 + x2 x3 AND bx1 + x2 x3
886
HOW TO WRITE A PERMUTATION AS A PRODUCT OF INVOLUTIONS AND WHY YOU MIGHT CARE ...
897
ON THE HIGHERDIMENSIONAL GENERALIZATION OF A PROBLEM OF ROTH
917
INDEPENDENT DIVISIBILITY PAIRS ON THE SET OF INTEGERS FROM 1 TO N
924
CYCLES IN REPEATED EXPONENTIATION MODULO pn
937
COMPUTATION OF AN IMPROVED LOWER BOUND TO GIUGAS PRIMALITY CONJECTURE
944
CONVOLUTION SUMS INVOLVING LEGENDREJACOBI SYMBOL AND DIVISOR FUNCTIONS ...
958
OPTIMAL PRIMITIVE SETS WITH RESTRICTED PRIMES
972
A ZEROSUM THEOREM OVER Z
982
ON THE DIVISIBILITY OF an bn BY POWERS OF n
993
LOWER BOUNDS FOR SUMSETS OF MULTISETS IN Z2p
999
ON SEQUENCES WITHOUT GEOMETRIC PROGRESSIONS
1016
INCLUSIONEXCLUSION POLYNOMIALS WITH LARGE COEFFICIENTS
1021
AN EXPLICIT FORMULA FOR HIGHER ORDER BERNOULLI POLYNOMIALS OF THE SECOND KIND ...
1024
A NOTE ON A CONJECTURE OF ERDŐ S GRAHAM AND SPENCER
1031
SQUARES AND DIFFERENCE SETS IN FINITE FIELDS
1037
A FAMILY OF FIBONACCILIKE CONDITIONAL SEQUENCES
1042
ON THE RESIDUE CLASSES OF π n MODULO t
1056
SDIOPHANTINE QUADRUPLES WITH TWO PRIMES CONGRUENT TO 3 MODULO 4
1066
THE AVERAGE LARGEST PRIME FACTOR
1075
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Sobre l'autor (2014)

Melvyn B. Nathanson, CUNY, New York, USA
Jaroslav Nešetril, Charles University, Prague, Czech Republic
Carl Pomerance, Dartmouth College, Hanover, NH, USA.
Richard J. Nowakowski, Dalhousie University, Halifax, Canada
Bruce Landman, University of West Georgia, Georgia, USA
Aaron Robertson, Colgate University, New York, USA

Informació bibliogràfica