Displaying similar documents to “Hurwitz analysis: basic concepts and connection with Clifford analysis”

Analytic and combinatoric aspects of Hurwitz polyzêtas

Jean-Yves Enjalbert, Hoang Ngoc Minh (2007)

Journal de Théorie des Nombres de Bordeaux

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In this work, a symbolic encoding of generalized Di-richlet generating series is found thanks to combinatorial techniques of noncommutative rational power series. This enables to explicit periodic generalized Dirichlet generating series – particularly the coloured polyzêtas – as linear combinations of Hurwitz polyzêtas. Moreover, the noncommutative version of the convolution theorem gives easily rise to an integral representation of Hurwitz polyzêtas. This representation enables us to...