The Keiper-Li Criterion for the Riemann Hypothesis and Generalized Lambert Functions

Keiper [1] and Li [2] published independent investigations of the connection between the Riemann hypothesis and the properties of sums over powers of zeros of the Riemann zeta function. Here we consider a reframing of the criterion, to work with higher-order derivatives ξr of the symmetrized functio...

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Veröffentlicht in:	ACM communications in computer algebra 2023-12, Vol.57 (3), p.85-110
Hauptverfasser:	McPhedran, Ross, Scott, Tony C., Maignan, Aude
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics of computing Mathematics of computing / Discrete mathematics Mathematics of computing / Discrete mathematics / Combinatorics Mathematics of computing / Discrete mathematics / Combinatorics / Generating functions Mathematics of computing / Mathematical analysis Mathematics of computing / Mathematical analysis / Numerical analysis Theory of computation Theory of computation / Design and analysis of algorithms Theory of computation / Design and analysis of algorithms / Approximation algorithms analysis
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