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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Irreducibility of q-Painlev equation of type $A_6^{(1)}$ in the sense of order

## Irreducibility of q-Painlev equation of type $A_6^{(1)}$ in the sense of orderAdd to your list(s) Download to your calendar using vCal - Nishioka, S (Tokyo)
- Wednesday 13 May 2009, 17:00-17:30
- Satellite.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Integrable Systems I introduce a result on the irreducibility of q-Painlev equation of type $A_6 The decomposable difference field extension is a difference analogue of K. Nishioka’s which was defined to prove the irreducibility of the first Painlev equation in the sense of Nishioka-Umemura. The strongly normal extension of difference fields defined by Bialynicki-Birula is decomposable. I proved that transcendental solutions of the equation in a decomposable extension may exist only for special parameters, and that all of them satisfies the identical well-known Riccati equation if we apply the Bcklund transformations to it appropriate times. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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