Hisashi Kobayashi

activity

20052021

most citedPerformance Evaluation of Impulse Radio UWB Systems with Pulse-Based Polarity Randomization

113 citations · 241 across the 14 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.NT2016

Some results on the $ξ (s)$ and $Ξ (t)$ functions associated with Riemann's $ζ (s)$ function

Hisashi Kobayashi

We report on some properties of the $ξ (s)$ function and its value on the critical line, $Ξ (t) = ξ (\frac{1}{2} + i t)$ . First, we present some identities that hold for the lo…

math.NT2016

Local Extrema of the $Ξ (t)$ Function and The Riemann Hypothesis

Hisashi Kobayashi

In the present paper we obtain a necessary and sufficient condition to prove the Riemann hypothesis in terms of certain properties of local extrema of the function $Ξ(t)=ξ(\tfrac{1…

Some results on the ξ(s) and Ξ(t) functions associated with Riemann's ζ(s) function

Local Extrema of the Ξ(t) Function and The Riemann Hypothesis

Some results on the $ξ (s)$ and $Ξ (t)$ functions associated with Riemann's $ζ (s)$ function

Local Extrema of the $Ξ (t)$ Function and The Riemann Hypothesis