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On the general Rogers-Ramanujan theorem / / [by] George E. Andrews
| On the general Rogers-Ramanujan theorem / / [by] George E. Andrews |
| Autore | Andrews George E. <1938-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (89 p.) |
| Disciplina | 512/.73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Number theory
Partitions (Mathematics) Hypergeometric functions Rogers-Ramanujan theorem |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9953-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Abstract""; ""1. Introduction""; ""2. General comments""; ""3. Outline of proof of Theorem 6.3""; ""4. The q-difference equations""; ""5. The auxiliary partition functions""; ""6. The general theorem for a â? λ""; ""7. Further auxiliary partition functions""; ""8. The general theorem""; ""9. Conclusion""; ""References"" |
| Record Nr. | UNINA-9910480756403321 |
Andrews George E. <1938->
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| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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On the general Rogers-Ramanujan theorem / / [by] George E. Andrews
| On the general Rogers-Ramanujan theorem / / [by] George E. Andrews |
| Autore | Andrews George E. <1938-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (89 p.) |
| Disciplina | 512/.73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Number theory
Partitions (Mathematics) Hypergeometric functions Rogers-Ramanujan theorem |
| ISBN | 0-8218-9953-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Abstract""; ""1. Introduction""; ""2. General comments""; ""3. Outline of proof of Theorem 6.3""; ""4. The q-difference equations""; ""5. The auxiliary partition functions""; ""6. The general theorem for a â? λ""; ""7. Further auxiliary partition functions""; ""8. The general theorem""; ""9. Conclusion""; ""References"" |
| Record Nr. | UNINA-9910788616403321 |
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Andrews George E. <1938->
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| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On the general Rogers-Ramanujan theorem / / [by] George E. Andrews
| On the general Rogers-Ramanujan theorem / / [by] George E. Andrews |
| Autore | Andrews George E. <1938-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (89 p.) |
| Disciplina | 512/.73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Number theory
Partitions (Mathematics) Hypergeometric functions Rogers-Ramanujan theorem |
| ISBN | 0-8218-9953-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Abstract""; ""1. Introduction""; ""2. General comments""; ""3. Outline of proof of Theorem 6.3""; ""4. The q-difference equations""; ""5. The auxiliary partition functions""; ""6. The general theorem for a â? λ""; ""7. Further auxiliary partition functions""; ""8. The general theorem""; ""9. Conclusion""; ""References"" |
| Record Nr. | UNINA-9910818809003321 |
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Andrews George E. <1938->
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| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Optimal transport : a semi-discrete approach / / Gershon Wolansky
| Optimal transport : a semi-discrete approach / / Gershon Wolansky |
| Autore | Wolansky Gershon <1952-> |
| Pubbl/distr/stampa | Berlin, Germany : , : De Gruyter, , [2021] |
| Descrizione fisica | 1 online resource (224 pages) : illustrations |
| Disciplina | 519.6 |
| Soggetto topico |
Partitions (Mathematics)
Game theory Mathematical optimization |
| ISBN | 3-11-063548-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910554284003321 |
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Wolansky Gershon <1952->
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| Berlin, Germany : , : De Gruyter, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ordered structures and partitions / / by Richard P. Stanley
| Ordered structures and partitions / / by Richard P. Stanley |
| Autore | Stanley Richard P. <1944-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1972 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 511/.6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Combinatorial analysis
Partitions (Mathematics) Euler's numbers |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9916-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""TABLE OF CONTENTS""; ""CHAPTER I. (P,Ï?m)-PARTITIONS""; ""1. Introduction""; ""2. Basic definitions""; ""3. Generating functions for (P,Ï?m)-partitions""; ""4. Distributive lattices""; ""5. The form of the generating functions""; ""6. The theory of w-separators""; ""7. Generating functions in terms of ^-separators .""; ""8. The polynomials W[sub(s)] (P,Ï?)""; ""9. The numbers α(P,Ï?S) and B(P,Ï?S)""; ""10. The reciprocity theorem""; ""11. An application to r-dimensional partitions""; ""12. Operations on ordered sets""; ""13. The order polynomial and (P ,Ï?)-Eulerian numbers"" |
| Record Nr. | UNINA-9910480763903321 |
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Stanley Richard P. <1944->
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| Providence : , : American Mathematical Society, , 1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ordered structures and partitions / / by Richard P. Stanley
| Ordered structures and partitions / / by Richard P. Stanley |
| Autore | Stanley Richard P. <1944-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1972 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 511/.6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Combinatorial analysis
Partitions (Mathematics) Euler's numbers |
| ISBN | 0-8218-9916-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""TABLE OF CONTENTS""; ""CHAPTER I. (P,Ï?m)-PARTITIONS""; ""1. Introduction""; ""2. Basic definitions""; ""3. Generating functions for (P,Ï?m)-partitions""; ""4. Distributive lattices""; ""5. The form of the generating functions""; ""6. The theory of w-separators""; ""7. Generating functions in terms of ^-separators .""; ""8. The polynomials W[sub(s)] (P,Ï?)""; ""9. The numbers α(P,Ï?S) and B(P,Ï?S)""; ""10. The reciprocity theorem""; ""11. An application to r-dimensional partitions""; ""12. Operations on ordered sets""; ""13. The order polynomial and (P ,Ï?)-Eulerian numbers"" |
| Record Nr. | UNINA-9910788613503321 |
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Stanley Richard P. <1944->
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| Providence : , : American Mathematical Society, , 1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ordered structures and partitions / / by Richard P. Stanley
| Ordered structures and partitions / / by Richard P. Stanley |
| Autore | Stanley Richard P. <1944-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1972 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 511/.6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Combinatorial analysis
Partitions (Mathematics) Euler's numbers |
| ISBN | 0-8218-9916-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""TABLE OF CONTENTS""; ""CHAPTER I. (P,Ï?m)-PARTITIONS""; ""1. Introduction""; ""2. Basic definitions""; ""3. Generating functions for (P,Ï?m)-partitions""; ""4. Distributive lattices""; ""5. The form of the generating functions""; ""6. The theory of w-separators""; ""7. Generating functions in terms of ^-separators .""; ""8. The polynomials W[sub(s)] (P,Ï?)""; ""9. The numbers α(P,Ï?S) and B(P,Ï?S)""; ""10. The reciprocity theorem""; ""11. An application to r-dimensional partitions""; ""12. Operations on ordered sets""; ""13. The order polynomial and (P ,Ï?)-Eulerian numbers"" |
| Record Nr. | UNINA-9910827786603321 |
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Stanley Richard P. <1944->
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| Providence : , : American Mathematical Society, , 1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The partition method for a power series expansion : theory and applications / / Victor Kowalenko
| The partition method for a power series expansion : theory and applications / / Victor Kowalenko |
| Autore | Kowalenko Victor |
| Pubbl/distr/stampa | Amsterdam, [Netherlands] : , : Elsevier, , 2017 |
| Descrizione fisica | 1 online resource (314 pages) : illustrations, tables |
| Disciplina | 512.73 |
| Soggetto topico | Partitions (Mathematics) |
| ISBN |
0-12-804511-6
0-12-804466-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | More advanced applications -- Generating partitions -- General theory -- Programming the partition method for a power series expansion -- Operator approach -- Classes of partitions -- The partition-number generating function and its inverted form -- Generalization of the partition-number generating function -- Conclusion -- A. Regularization -- B. Computer programs. |
| Record Nr. | UNINA-9910583027503321 |
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Kowalenko Victor
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| Amsterdam, [Netherlands] : , : Elsevier, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Partitions : optimality and clustering. Vol. II, Multi-parameter / / Frank K. Hwang, National Chiao-Tung University, Taiwan, Uriel G. Rothblum, Technion, Israel, Hong-Bin Chen, Academia Sinica, Taiwan
| Partitions : optimality and clustering. Vol. II, Multi-parameter / / Frank K. Hwang, National Chiao-Tung University, Taiwan, Uriel G. Rothblum, Technion, Israel, Hong-Bin Chen, Academia Sinica, Taiwan |
| Autore | Hwang Frank |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (x, 291 pages) : illustrations (some color) |
| Disciplina | 512.73 |
| Collana |
Partitions : optimality and clustering
Series on applied mathematics |
| Soggetto topico | Partitions (Mathematics) |
| ISBN | 981-4412-35-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Bounded-Shape Sum-Partition Problems: Polyhedral Approach; 1.1 Linear Objective: Solution by LP; Testing If a Vector (say A ) is a Vertex of a given Bounded- Shape Partition Polytope; Solution of Bounded-Shape Partition Problems with Linear Objective Function; 1.2 Enumerating Vertices of the Partition Polytopes and Corresponding Partitions Using Edge-Directions; Enumerating Vertices of Bounded-Shape Partition Polytopes along with Corresponding Partitions Using Edge-Directions; Single-Size Problems
Enumerating the Facets of a Constrained-Shape Partition Polytope Using Generic Partitions (along with Supporting Hyperplanes)1.3 Representation, Characterization and Enumeration of Vertices of Partition Polytopes: Distinct Partitioned Vectors; Testing if a Vector A is a Vertex of the Bounded-Shape Partition Polytope When the Columns of A are Nonzero and Distinct; Testing if a Vector A is a Vertex of the Bounded-Shape Partition Polytope When the Columns of A are Distinct, but Contain the Zero Vector; Mean-Partition Problems 1.4 Representation, Characterization and Enumeration of Vertices of Partition Polytopes: General CaseTesting if a Vector A is a Vertex of the Bounded-Shape Partition Polytope; Appendix A; 2. Constrained-Shape and Single-Size Sum-Partition Problems: Polynomial Approach; 2.1 Constrained-Shape Partition Polytopes and (Almost-) Separable Partitions; Testing for a Point of a Finite Set to be a Vertex of the Convex Hull of that Set; Testing for (Almost) Separability of Partitions; Enumerating the Vertices of Constrained-Shape and Bounded-Shape Partition Polytopes with Underlying Matrix A Generating the Vertices of Bounded-Shape and Constrained- Shape Partition Polytopes2.2 Enumerating Separable and Limit-Separable Partitions of Constrained-Shape; Enumerating all Separable 2-Partitions when A is Generic; Enumerating all Separable p-Partitions when A is Generic; Computing Generic Signs; Enumerating all A-Limit-Separable Partitions; Enumerating all A-Separable Partitions; Solving Constrained-Shape Partition Problems with f(·) (Edge-)Quasi-Convex by Enumerating Limit-Separable Partitions Enumerating the Vertices of Constrained-Shape Partition Polytopes Using Limit-Separable PartitionsEnumerating all Almost-Separable 2-Partitions; Enumerating all Almost-Separable p-Partitions; 2.3 Single-Size Partition Polytopes and Cone-Separable Partitions; Testing for Cone-Separability of Finite Sets; Testing for Cone-Separability of Partitions; 2.4 Enumerating (Limit-)Cone-Separable Partitions; Enumerating All Cone-Separable Partitions when [0,A] is Generic; Enumerating All Cone-Separable Partitions when d 2 and A has no Zero Vectors Enumerating All A-Limit-Cone-Separable Partitions when d > 2 |
| Record Nr. | UNINA-9910786873803321 |
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Hwang Frank
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| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Partitions : optimality and clustering. Vol. II, Multi-parameter / / Frank K. Hwang, National Chiao-Tung University, Taiwan, Uriel G. Rothblum, Technion, Israel, Hong-Bin Chen, Academia Sinica, Taiwan
| Partitions : optimality and clustering. Vol. II, Multi-parameter / / Frank K. Hwang, National Chiao-Tung University, Taiwan, Uriel G. Rothblum, Technion, Israel, Hong-Bin Chen, Academia Sinica, Taiwan |
| Autore | Hwang Frank |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (x, 291 pages) : illustrations (some color) |
| Disciplina | 512.73 |
| Collana |
Partitions : optimality and clustering
Series on applied mathematics |
| Soggetto topico | Partitions (Mathematics) |
| ISBN | 981-4412-35-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Bounded-Shape Sum-Partition Problems: Polyhedral Approach; 1.1 Linear Objective: Solution by LP; Testing If a Vector (say A ) is a Vertex of a given Bounded- Shape Partition Polytope; Solution of Bounded-Shape Partition Problems with Linear Objective Function; 1.2 Enumerating Vertices of the Partition Polytopes and Corresponding Partitions Using Edge-Directions; Enumerating Vertices of Bounded-Shape Partition Polytopes along with Corresponding Partitions Using Edge-Directions; Single-Size Problems
Enumerating the Facets of a Constrained-Shape Partition Polytope Using Generic Partitions (along with Supporting Hyperplanes)1.3 Representation, Characterization and Enumeration of Vertices of Partition Polytopes: Distinct Partitioned Vectors; Testing if a Vector A is a Vertex of the Bounded-Shape Partition Polytope When the Columns of A are Nonzero and Distinct; Testing if a Vector A is a Vertex of the Bounded-Shape Partition Polytope When the Columns of A are Distinct, but Contain the Zero Vector; Mean-Partition Problems 1.4 Representation, Characterization and Enumeration of Vertices of Partition Polytopes: General CaseTesting if a Vector A is a Vertex of the Bounded-Shape Partition Polytope; Appendix A; 2. Constrained-Shape and Single-Size Sum-Partition Problems: Polynomial Approach; 2.1 Constrained-Shape Partition Polytopes and (Almost-) Separable Partitions; Testing for a Point of a Finite Set to be a Vertex of the Convex Hull of that Set; Testing for (Almost) Separability of Partitions; Enumerating the Vertices of Constrained-Shape and Bounded-Shape Partition Polytopes with Underlying Matrix A Generating the Vertices of Bounded-Shape and Constrained- Shape Partition Polytopes2.2 Enumerating Separable and Limit-Separable Partitions of Constrained-Shape; Enumerating all Separable 2-Partitions when A is Generic; Enumerating all Separable p-Partitions when A is Generic; Computing Generic Signs; Enumerating all A-Limit-Separable Partitions; Enumerating all A-Separable Partitions; Solving Constrained-Shape Partition Problems with f(·) (Edge-)Quasi-Convex by Enumerating Limit-Separable Partitions Enumerating the Vertices of Constrained-Shape Partition Polytopes Using Limit-Separable PartitionsEnumerating all Almost-Separable 2-Partitions; Enumerating all Almost-Separable p-Partitions; 2.3 Single-Size Partition Polytopes and Cone-Separable Partitions; Testing for Cone-Separability of Finite Sets; Testing for Cone-Separability of Partitions; 2.4 Enumerating (Limit-)Cone-Separable Partitions; Enumerating All Cone-Separable Partitions when [0,A] is Generic; Enumerating All Cone-Separable Partitions when d 2 and A has no Zero Vectors Enumerating All A-Limit-Cone-Separable Partitions when d > 2 |
| Record Nr. | UNINA-9910814172003321 |
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Hwang Frank
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| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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