The Julia line of a Riemann-type functional equation
Ade Irma Suriajaya (Kyushu University at Fukuoka, Japan)
Abstract: The notion of a Julia line is a concept introduced by Gaston Julia about one hundred years ago in his improvement upon Picard's Great Theorem. In this talk we apply this idea to Dirichlet series satisfying a Riemann-type functional equation (more precisely, Dirichlet series with periodic coefficients and, if there is enough time, elements of theextended Selberg class) and discuss aspects of their value-distribution. This is joint work in progress with Jörn Steuding (University of Würzburg) and Thanasis Sourmelidis (Graz University of Technology), and it extends previous joint work of Jörn Steuding with Justas Kalpokas and Maxim Korolev (Steklov Mathematical Institute of Russian Academy of Sciences).
number theory
Audience: researchers in the topic
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| Organizers: | Stephan Baier*, Satadal Ganguly*, Saurabh Kumar Singh |
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