Group Properties of the Riemann Function

2021 ◽  
pp. 269-279
Author(s):  
A. V. Aksenov
Keyword(s):  
Riemann Function

Riemann Function

2015 ◽  
pp. 257-264
Author(s):  
Marek Jarnicki ◽  
Peter Pflug
Keyword(s):  
Riemann Function

scholarly journals Riemann Function Approach to Unbiased Filtering and Prediction

1995 ◽  
Vol 192 (1) ◽  
pp. 96-116 ◽  
Author(s):  
V.V. Anh ◽  
N.M. Spencer
Keyword(s):  
Riemann Function ◽  
Function Approach

The Semidiscrete Riemann Function

1967 ◽  
Vol 4 (4) ◽  
pp. 489-498
Author(s):  
G. J. Kurowski
Keyword(s):  
Riemann Function

scholarly journals Polymeric quantum mechanics and the zeros of the Riemann zeta function

2018 ◽  
Vol 15 (06) ◽  
pp. 1850095
Author(s):  
Jasel Berra-Montiel ◽  
Alberto Molgado
Keyword(s):  
Scale Parameter ◽  
Stationary Wave ◽  
Hamiltonian Operator ◽  
Riemann Function ◽  
Point Of View ◽  
Smooth Part ◽  
Quantization Formalism ◽  
Semiclassical States ◽  
Quantum Point ◽  
Riemann Zeta

We analyze the Berry–Keating model and the Sierra and Rodríguez-Laguna Hamiltonian within the polymeric quantization formalism. By using the polymer representation, we obtain for both models, the associated polymeric quantum Hamiltonians and the corresponding stationary wave functions. The self-adjointness condition provides a proper domain for the Hamiltonian operator and the energy spectrum, which turned out to be dependent on an introduced scale parameter. By performing a counting of semiclassical states, we prove that the polymer representation reproduces the smooth part of the Riemann–von Mangoldt formula, and also introduces a correction depending on the energy and the scale parameter. This may shed some light on the understanding of the fluctuation behavior of the zeros of the Riemann function from a purely quantum point of view.

A universal Cauchy–Riemann function on subsets ofℂn × ℝm

Analysis ◽  
2011 ◽  
Vol 31 (3) ◽  
pp. 259-271
Author(s):  
Louis-Philippe Thibault
Keyword(s):  
Riemann Function ◽  
Cauchy Riemann

Determination of the Riemann Function

1973 ◽  
Vol 80 (8) ◽  
pp. 906
Author(s):  
E. J. Scott
Keyword(s):  
Riemann Function
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