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: http://www.mccme.ru/poncelet/2012zeta/talks/bhowmik.html
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Conference "Zeta Functions"November 19 - 23, 2012Moscow, Russia |
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Organisers: Marc Hindry (Institut de Mathématiques de Jussieu) Philippe Lebacque (Laboratoire de Mathématiques de Besançon), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics)
Tuesday, November 20, 15:00 - 16:00
Video: [mp4]
Particular examples and generic studies of Dirichlet series suggest that they can either be continued to the whole complex plane or to a half plane. Du Sautoy and Woodward ask if this should always be the case. However we prove the existence of classes of Dirichlet series whose domain of maximal continuation can be a wide variety of subsets of the complex plane.