A non-hypergeometric E-function
Event details
| Date | 27.02.2020 |
| Hour | 15:15 › 16:30 |
| Speaker | Peter Jossen (ETHZ) |
| Location | |
| Category | Conferences - Seminars |
With the objective of generalising the transcendence theorems for values of the exponential function by Hermite, Lindemann, and Weierstrass, Siegel introduced in 1929 a class of entire functions which he calls E-functions. These E-functions form a C[z]-algebra, which contains all confluent hypergeometric functions. Siegel asked whether hypergeometric functions generate the whole algebra of E-functions. We show that the answer to Siegel's question is negative, by means of an explicit example of an E-function which is not a polynomial expression of hypergeometric functions. [Joint work in progress with J. Fresan]
Practical information
- Informed public
- Free
Organizer
- Philippe Michel
Contact
- Monique Kiener