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Conference Integers Conference (2011 : Carrollton, Ga.)
Title Combinatorial number theory : Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011 / edited by Bruce Landman, Melvyn B. Nathanson, Jaroslav Nesetril, Richard J. Nowakowski, Carl Pomerance, Aaron Robertson.
Imprint Berlin ; Boston : De Gruyter, [2013]

Conference Integers Conference (2011 : Carrollton, Ga.)
Series De Gruyter proceedings
De Gruyter proceedings.
Subject Combinatorial number theory -- Congresses.
Alt Name Landman, Bruce M., 1951-
Description 1 online resource (ix, 157 pages) : illustrations.
Bibliography Note Includes bibliographical references and index.
Contents 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 ofWythoff-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 theWreath 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.
Summary 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.
Note In English.
Print version record.
ISBN 3110280612 (electronic bk.)
9783110280616 (electronic bk.)
ISBN/ISSN 10.1515/9783110280616
OCLC # 902321051
Additional Format 9783110280623
Print version: Integers Conference (2011 : Carrollton, Ga.). Combinatorial number theory. 9783110280487 3110280485 (DLC) 2013022169

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