Cargando…
Combinatorial number theory : Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011 /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
[2013]
|
| Colección: | De Gruyter proceedings.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; 1 The Misère Monoid of One-Handed Alternating Games; 1.1 Introduction; 1.1.1 Background; 1.2 Equivalences; 1.3 Outcomes; 1.4 The Misère Monoid; 2 Images of C-Sets and Related Large Sets under Nonhomogeneous Spectra; 2.1 Introduction; 2.2 The Various Notions of Size; 2.3 The Functions fa and ha; 2.4 Preservation of J -Sets, C-Sets, and C*-Sets; 2.5 Preservation of Ideals; 3 On the Differences Between Consecutive Prime Numbers, I; 3.1 Introduction and Statement of Results; 3.2 The Hardy-Littlewood Prime k-Tuple Conjectures; 3.3 Inclusion-Exclusion for Consecutive Prime Numbers.
- 3.4 Proof of the Theorem4 On Sets of Integers Which Are Both Sum-Free and Product-Free; 4.1 Introduction; 4.2 The Upper Density; 4.3 An Upper Bound for the Density in Z/nZ; 4.4 Examples With Large Density; 5 Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems; 5.1 Introduction; 5.2 Counting Fields in General; 5.2.1 Counting Torsion Elements in Class Groups; 5.3 Davenport-Heilbronn, Delone-Faddeev, and the Main Terms; 5.3.1 TheWork of Belabas, Bhargava, and Pomerance; 5.4 The Four Approaches; 5.5 The Shintani Zeta-Function Approach.
- 5.5.1 Nonequidistribution in Arithmetic Progressions5.6 A Refined Geometric Approach; 5.6.1 Origin of the Secondary Term; 5.6.2 A Correspondence for Cubic Forms; 5.7 Equidistribution of Heegner Points; 5.7.1 Heegner Points and Equidistribution; 5.8 Hirzebruch Surfaces and the Maroni Invariant; 5.9 Conclusion; 6 Spotted Tilings and n-Color Compositions; 6.1 Background; 6.2 n-Color Composition Enumerations; 6.3 Conjugable n-Color Compositions; 7 A Class of Wythoff-Like Games; 7.1 Introduction; 7.2 Constant Function; 7.2.1 A Numeration System.
- 7.2.2 Strategy Tractability and Structure of the P-Positions7.3 Superadditive Functions; 7.4 Polynomial; 7.5 Further Work; 8 On the Multiplicative Order of FnC1=Fn Modulo Fm; 8.1 Introduction; 8.2 Preliminary Results; 8.3 Proof of Theorem 8.1; 8.4 Comments and Numerical Results; 9 Outcomes of Partizan Euclid; 9.1 Introduction; 9.2 Game Tree Structure; 9.3 Reducing the Signature; 9.3.1 Algorithm; 9.4 Outcome Observations; 9.5 Open Questions; 10 Lecture Hall Partitions and the Wreath Products Ck @"Sn; 10.1 Introduction; 10.2 Lecture Hall Partitions; 10.3 Statistics on Ck @"Sn.
- 10.4 Statistics on s-Inversion Sequences10.5 From Statistics on Ck o Sn to Statistics on In, k; 10.6 Lecture Hall Polytopes and s-Inversion Sequences; 10.7 Lecture Hall Partitions and the Inversion Sequences In, k; 10.8 A Lecture Hall Statistic on Ck @"Sn; 10.9 Inflated Eulerian Polynomials for Ck @"Sn; 10.10 Concluding Remarks.