Dynamic behavior of the roots of the Taylor polynomials of the Riemann xi function with growing degree

We establish a uniform approximation result for the Taylor polynomials of the xi function of Riemann which is valid in the entire complex plane as the degree grows. In particular, we identify a domain growing with the degree of the polynomials on which they converge to Riemann's xi function. Us...

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Bibliographische Detailangaben

Hauptverfasser:	Jenkins, Robert, McLaughlin, Ken D. T. -R
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Classical Analysis and ODEs Mathematics - Number Theory
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