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Place: Seminarraum Schloss Hagenberg
| 06.10. | George E. Andrews | Partitions with Short Sequences and Ramanujan's Mock Theta Functions
Abstract: In a recent paper "Integrals, Partitions and Cellular Automata" in the Transactions of the American Mathematical Society, Holroyd, Liggett and Romik evaluated an intriguing definite integral and applied it to a variety of probability models. The application to integer partitions concerned partitions in which no sequence of consecutive integers of length k appears (k=2,3,...). The authors note that in one instance a proof of their result can also be based on a little known partition theorem of P.A. MacMahon. Our object in this talk will be to introduce these ideas and to develop the study of such partitions from a purely combinatorial, q-series point of view. Surprisingly one of Ramanujan's mysterious mock theta functions arises quite naturally. |
| 13.10. | Peter Paule | Organizational items |
| Axel Riese | The new Web pages of the combinatorics group | |
| Axel Riese | Unforeseen problems in the computer proof of a strange hypergeometric identity | |
| 20.10. | Peter Paule et al. | Group pictures |
| Peter Paule et al. | Meeting with the Schöberl group | |
| 27.10. | Stefan Gerhold | Positivity of C-finite sequences (Part I) |
| 03.11. | Stefan Gerhold | Positivity of C-finite sequences (Part II) |
| 10.11. | Viktor Levandovskyy | Recent Developments in Algorithmic Questions of Noncommutative Computational Algebra |
| Viktor Levandovskyy | Gröbner Basics in a Noncommutative Setting: Algorithms and Applications | |
| 17.11. | Peter Paule | Contiguous relations (Part I) |
| 24.11. | Peter Paule | Contiguous relations (Part II) |
| 01.12. | Peter Paule | Contiguous relations (Part III) |
| Burki Zimmermann | On guessing sequences | |
| 15.12. | Peter Paule | Canceled |
| 12.01. | Peter Paule | Canceled |
| 19.01. | Stefan Gerhold | The sequence of primes is not holonomic |
| Stefan Gerhold and Manuel Kauers | On proving special functions inequalities | |
| 26.01. | Peter Paule | Evaluation of Maths Institutes |