smoothing_behaviour_of_the_reimann_zeta_function_off_the_critical_line.pdf (1.87 MB)
Identifying the Riemann Zeta function as a smoothed version of the Riemann Siegel function off the critical line
Version 3 2016-07-29, 21:34
Version 2 2016-07-27, 20:03
Version 1 2016-07-26, 18:56
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posted on 2016-07-29, 21:34 authored by John MartinJohn MartinThe Riemann Zeta function off the critical line can be understood as a smoothed version of the Riemann Siegel function scaled by the average growth, for Re(s) < 0.5, of the Riemann Zeta function. The smoothing behaviour off the critical line avoids the zeroes present in the rescaled Riemann Siegel function explaining the Riemann Hypothesis.