Vector Partitions, Visible Points and Ramanujan Functions
portes grátis
Vector Partitions, Visible Points and Ramanujan Functions
Campbell, Geoffrey B.
Taylor & Francis Ltd
05/2024
526
Dura
9781032003665
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Section I. Background and History. 1. History timeline partitions. Section II. Integer Partition Theory. 3. Integer partition generating functions. 4. Continued fraction partition identities. 5. Partition congruences. 6. Ferrers diagrams. 7.Durfee Squares. 8. Gaussian polynomials. 9. Plane Partitions from MacMahon to Andrews. 10. Asymptotics for Partition Functions. 11. Rogers-Ramanujan identities in Statistical Mechanics. Section III. Vector Partition Theory. 12. Vector partitions and their generating function identities. 13. Integer Partitions generalized to Vector Partitions. 14. Weighted Vector Partitions as hybrid n-space variations. 15. Functional Equations for n-space Vector Partitions. 16. Binary Partitions and their Vector Generalizations. 17. n-ary Partitions and their Vector Generalizations. 18. Some Binary and n-ary Partition Analytic Formulas. Section IV. 19. Features of the Visible Lattice Points. 20. Visible Point Vector Identities in the first Hyperquadrant. 21. Visible Point Vector Identities in Hyperpyramid lattices. 22. Polylogarithms, and Parametric Euler Sum identities. 23. Visible Point Vector identities from particular Euler sum values. 24. Visible Point Vector Identities in Skewed Hyperpyramid lattices. 25. Harmonic Sums applied to VPV Identities. 26. The Ramanujan trigonometric function and visible point identities. 27. Other non-weighted n-space Vector Partition Theorems. 28. VPV Identity cases related to some exponential relations. Section V. Models, Interpretations and some Useful Tools. 29. 2D and 3D Stepping Stones, Forests, Orchards and Light Diffusions. 30. Euler Products over Primes and new VPV Formulas. 31. Determinants, Bell Polynomial Expansions for Vector Partitions. 32. Glossary.
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Vector Partitions;Ramanujan Functions;Integer Partitions;number theory;multipartite partition theory;surrounding partitions;Visible Point Vector identities
Section I. Background and History. 1. History timeline partitions. Section II. Integer Partition Theory. 3. Integer partition generating functions. 4. Continued fraction partition identities. 5. Partition congruences. 6. Ferrers diagrams. 7.Durfee Squares. 8. Gaussian polynomials. 9. Plane Partitions from MacMahon to Andrews. 10. Asymptotics for Partition Functions. 11. Rogers-Ramanujan identities in Statistical Mechanics. Section III. Vector Partition Theory. 12. Vector partitions and their generating function identities. 13. Integer Partitions generalized to Vector Partitions. 14. Weighted Vector Partitions as hybrid n-space variations. 15. Functional Equations for n-space Vector Partitions. 16. Binary Partitions and their Vector Generalizations. 17. n-ary Partitions and their Vector Generalizations. 18. Some Binary and n-ary Partition Analytic Formulas. Section IV. 19. Features of the Visible Lattice Points. 20. Visible Point Vector Identities in the first Hyperquadrant. 21. Visible Point Vector Identities in Hyperpyramid lattices. 22. Polylogarithms, and Parametric Euler Sum identities. 23. Visible Point Vector identities from particular Euler sum values. 24. Visible Point Vector Identities in Skewed Hyperpyramid lattices. 25. Harmonic Sums applied to VPV Identities. 26. The Ramanujan trigonometric function and visible point identities. 27. Other non-weighted n-space Vector Partition Theorems. 28. VPV Identity cases related to some exponential relations. Section V. Models, Interpretations and some Useful Tools. 29. 2D and 3D Stepping Stones, Forests, Orchards and Light Diffusions. 30. Euler Products over Primes and new VPV Formulas. 31. Determinants, Bell Polynomial Expansions for Vector Partitions. 32. Glossary.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
