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E-BookPDFDRM AdobeE-Book
166 Seiten
Englisch
De Gruytererschienen am29.08.20131. Auflage

These proceedings consist of several articles based on talks given at the 'Integers Conference 2011' in the area of combinatorial number theory. They present a range of important and modern research topics in the areas of number, partition, combinatorial game, Ramsey, additive number, and multiplicative number theory.



BruceM. Landman, University of West Georgia, Carrollton, USA; Melvyn B. Nathanson, The City University of New York, Bronx, USA; Jaroslav Ne?etril, Charles University, Prague, Czech Republic; Richard J. Nowakowski, Dalhousie University, Halifax, Canada; Carl Pomerance, Dartmouth College, Hanover,;Aaron Robertson, Colgate University, Hamilton, USA.mehr
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Produkt

Klappentext
These proceedings consist of several articles based on talks given at the 'Integers Conference 2011' in the area of combinatorial number theory. They present a range of important and modern research topics in the areas of number, partition, combinatorial game, Ramsey, additive number, and multiplicative number theory.



BruceM. Landman, University of West Georgia, Carrollton, USA; Melvyn B. Nathanson, The City University of New York, Bronx, USA; Jaroslav Ne?etril, Charles University, Prague, Czech Republic; Richard J. Nowakowski, Dalhousie University, Halifax, Canada; Carl Pomerance, Dartmouth College, Hanover,;Aaron Robertson, Colgate University, Hamilton, USA.
Details
Weitere ISBN/GTIN9783110280616
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format HinweisDRM Adobe
FormatE107
Erscheinungsjahr2013
Erscheinungsdatum29.08.2013
Auflage1. Auflage
ReiheDe Gruyter Proceedings in Mathematics
Seiten166 Seiten
SpracheEnglisch
Illustrationen18 b/w ill.
Artikel-Nr.1264052
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
1;Preface;5
2;1 The Misère Monoid of One-Handed Alternating Games;11
2.1;1.1 Introduction;11
2.1.1;1.1.1 Background;12
2.2;1.2 Equivalences;14
2.3;1.3 Outcomes;20
2.4;1.4 The Misère Monoid;22
3;2 Images of C-Sets and Related Large Sets under Nonhomogeneous Spectra;25
3.1;2.1 Introduction;25
3.2;2.2 The Various Notions of Size;29
3.3;2.3 The Functions fa and ha;35
3.4;2.4 Preservation of J -Sets, C-Sets, and C*-Sets;37
3.5;2.5 Preservation of Ideals;43
4;3 On the Differences Between Consecutive Prime Numbers, I;47
4.1;3.1 Introduction and Statement of Results;47
4.2;3.2 The Hardy-Littlewood Prime k-Tuple Conjectures;48
4.3;3.3 Inclusion-Exclusion for Consecutive Prime Numbers;49
4.4;3.4 Proof of the Theorem;52
5;4 On Sets of Integers Which Are Both Sum-Free and Product-Free;55
5.1;4.1 Introduction;55
5.2;4.2 The Upper Density;57
5.3;4.3 An Upper Bound for the Density in Z/nZ;60
5.4;4.4 Examples With Large Density;61
6;5 Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems;65
6.1;5.1 Introduction;65
6.2;5.2 Counting Fields in General;66
6.2.1;5.2.1 Counting Torsion Elements in Class Groups;69
6.3;5.3 Davenport-Heilbronn, Delone-Faddeev, and the Main Terms;70
6.3.1;5.3.1 TheWork of Belabas, Bhargava, and Pomerance;71
6.4;5.4 The Four Approaches;72
6.5;5.5 The Shintani Zeta-Function Approach;73
6.5.1;5.5.1 Nonequidistribution in Arithmetic Progressions;76
6.6;5.6 A Refined Geometric Approach;77
6.6.1;5.6.1 Origin of the Secondary Term;78
6.6.2;5.6.2 A Correspondence for Cubic Forms;79
6.7;5.7 Equidistribution of Heegner Points;80
6.7.1;5.7.1 Heegner Points and Equidistribution;81
6.8;5.8 Hirzebruch Surfaces and the Maroni Invariant;83
6.9;5.9 Conclusion;84
7;6 Spotted Tilings and n-Color Compositions;89
7.1;6.1 Background;89
7.2;6.2 n-Color Composition Enumerations;91
7.3;6.3 Conjugable n-Color Compositions;96
8;7 A Class ofWythoff-Like Games;101
8.1;7.1 Introduction;101
8.2;7.2 Constant Function;103
8.2.1;7.2.1 A Numeration System;104
8.2.2;7.2.2 Strategy Tractability and Structure of the P-Positions;108
8.3;7.3 Superadditive Functions;109
8.4;7.4 Polynomial;113
8.5;7.5 Further Work;116
9;8 On the Multiplicative Order of FnC1=Fn Modulo Fm;119
9.1;8.1 Introduction;119
9.2;8.2 Preliminary Results;120
9.3;8.3 Proof of Theorem 8.1;124
9.4;8.4 Comments and Numerical Results;130
10;9 Outcomes of Partizan Euclid;133
10.1;9.1 Introduction;133
10.2;9.2 Game Tree Structure;135
10.3;9.3 Reducing the Signature;138
10.3.1;9.3.1 Algorithm;142
10.4;9.4 Outcome Observations;143
10.5;9.5 Open Questions;144
11;10 Lecture Hall Partitions and theWreath Products Ck . Sn;147
11.1;10.1 Introduction;147
11.2;10.2 Lecture Hall Partitions;148
11.3;10.3 Statistics on Ck . Sn;149
11.4;10.4 Statistics on s-Inversion Sequences;150
11.5;10.5 From Statistics on Ck o Sn to Statistics on In,k;151
11.6;10.6 Lecture Hall Polytopes and s-Inversion Sequences;153
11.7;10.7 Lecture Hall Partitions and the Inversion Sequences In,k;155
11.8;10.8 A Lecture Hall Statistic on Ck . Sn;158
11.9;10.9 Inflated Eulerian Polynomials for Ck . Sn;160
11.10;10.10 Concluding Remarks;163mehr

Autor


Bruce M. Landman, University of West Georgia, Carrollton, USA; Melvyn B. Nathanson, The City University of New York, Bronx, USA; Jaroslav NeSetril, Charles University, Prague, Czech Republic; Richard J. Nowakowski, Dalhousie University, Halifax, Canada; Carl Pomerance, Dartmouth College, Hanover, ; Aaron Robertson, Colgate University, Hamilton, USA.
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