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 |