Combinatorial number theory: Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011
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| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter
[2013]
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| Series: | De Gruyter proceedings
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| Subjects: | |
| Online Access: | FAW01 FAW02 |
| Item Description: | Print version record |
| Physical Description: | 1 online resource (ix, 157 pages) illustrations |
| ISBN: | 3110280612 9783110280616 9783110280487 3110280485 9783110280623 3110280620 |
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| 245 | 1 | 0 | |a Combinatorial number theory |b Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011 |c edited by Bruce Landman, Melvyn B. Nathanson, Jaroslav Nesetril, Richard J. Nowakowski, Carl Pomerance, Aaron Robertson |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2013] | |
| 264 | 4 | |c © 2013 | |
| 300 | |a 1 online resource (ix, 157 pages) |b illustrations | ||
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| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 650 | 4 | |a Additive combinatorics | |
| 650 | 4 | |a Combinatorial number theory / Congresses | |
| 650 | 4 | |a Number theory / Congresses | |
| 650 | 7 | |a MATHEMATICS / Algebra / Intermediate |2 bisacsh | |
| 650 | 7 | |a Combinatorial number theory |2 fast | |
| 650 | 7 | |a Kombinatorische Zahlentheorie |2 gnd | |
| 650 | 4 | |a Combinatorial number theory |v Congresses | |
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| 700 | 1 | |a Landman, Bruce M. |d 1951- |4 edt | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Integers Conference (2011 : Carrollton, Ga |t ). Combinatorial number theory |
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Record in the Search Index
| _version_ | 1804176621417005056 |
|---|---|
| any_adam_object | |
| author2 | Landman, Bruce M. 1951- |
| author2_role | edt |
| author2_variant | b m l bm bml |
| author_corporate | Integers Conference <2011, Carrollton, Ga.> |
| author_corporate_role | aut |
| author_facet | Landman, Bruce M. 1951- Integers Conference <2011, Carrollton, Ga.> |
| author_sort | Integers Conference <2011, Carrollton, Ga.> |
| building | Verbundindex |
| bvnumber | BV043785964 |
| collection | ZDB-4-EBA |
| 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 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 |
| ctrlnum | (ZDB-4-EBA)ocn902321051 (OCoLC)902321051 (DE-599)BVBBV043785964 |
| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 |
| dewey-search | 511/.6 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:35:05Z |
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| record_format | marc |
| series2 | De Gruyter proceedings |
| spelling | Integers Conference <2011, Carrollton, Ga.> Verfasser aut 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 Berlin ; Boston De Gruyter [2013] © 2013 1 online resource (ix, 157 pages) illustrations txt rdacontent c rdamedia cr rdacarrier De Gruyter proceedings Print version record 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 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 Additive combinatorics Combinatorial number theory / Congresses Number theory / Congresses MATHEMATICS / Algebra / Intermediate bisacsh Combinatorial number theory fast Kombinatorische Zahlentheorie gnd Combinatorial number theory Congresses Kombinatorische Zahlentheorie (DE-588)4164751-8 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Kombinatorische Zahlentheorie (DE-588)4164751-8 s 1\p DE-604 Landman, Bruce M. 1951- edt Erscheint auch als Druck-Ausgabe Integers Conference (2011 : Carrollton, Ga ). Combinatorial number theory 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Combinatorial number theory Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011 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 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 Additive combinatorics Combinatorial number theory / Congresses Number theory / Congresses MATHEMATICS / Algebra / Intermediate bisacsh Combinatorial number theory fast Kombinatorische Zahlentheorie gnd Combinatorial number theory Congresses Kombinatorische Zahlentheorie (DE-588)4164751-8 gnd |
| subject_GND | (DE-588)4164751-8 (DE-588)1071861417 |
| title | Combinatorial number theory Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011 |
| title_auth | Combinatorial number theory Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011 |
| title_exact_search | Combinatorial number theory Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011 |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_short | Combinatorial number theory |
| title_sort | combinatorial number theory proceedings of the integers conference 2011 carrollton georgia october 26 29 2011 |
| title_sub | Proceedings of the "Integers Conference 2011" Carrollton, Georgia, October 26-29, 2011 |
| topic | Additive combinatorics Combinatorial number theory / Congresses Number theory / Congresses MATHEMATICS / Algebra / Intermediate bisacsh Combinatorial number theory fast Kombinatorische Zahlentheorie gnd Combinatorial number theory Congresses Kombinatorische Zahlentheorie (DE-588)4164751-8 gnd |
| topic_facet | Additive combinatorics Combinatorial number theory / Congresses Number theory / Congresses MATHEMATICS / Algebra / Intermediate Combinatorial number theory Kombinatorische Zahlentheorie Combinatorial number theory Congresses Konferenzschrift |
| work_keys_str_mv | AT integersconference2011carrolltonga combinatorialnumbertheoryproceedingsoftheintegersconference2011carrolltongeorgiaoctober26292011 AT landmanbrucem combinatorialnumbertheoryproceedingsoftheintegersconference2011carrolltongeorgiaoctober26292011 |