J. Stopple

activity

20012025

most citedThe quadratic character experiment

3 citations · 3 across the 11 of their papers we have counts for

collaborators

13 papers

math.NT2025

Level curves for Zhang's Eta Function

Jeffrey Stopple

Study of the level curve for the real part of $η (s) = 0$ with $η (s) = π^{- s /2} Γ (s /2) ζ^{'} (s)$ gives a new classification of the zeros of $ζ (s)$ and of $ζ^{'} (s)$ . We conjecture t…

math.NT2020

X-Ray of Zhang's eta function

Jeffrey Stopple

Study of the level curves the real part of $η (s) = 0$ and imaginary part of $η (s) = 0$ , for $η (s) = π^{- s /2} Γ (s /2) ζ^{'} (s)$ gives a new classification of the zeros of $ζ (s)$ and of $ζ…

math.NT2020

Notes on the Phase Statistics of the Riemann Zeros

Jeffrey Stopple

We numerically investigate, for zeros $ρ = 1/2 + iγ$ , the statistics of the imaginary part of $lo g (ζ^{'} (1/2 + iγ))$ , computed by continuous variation along a vertical line from $σ=4…

math.NT2015

Lehmer pairs revisited

Jeffrey Stopple

We seek to understand how the technical definition of Lehmer pair can be related to more analytic properties of the Riemann zeta function, particularly the location of the zeros of…

math.NT2013

Notes on $lo g (ζ (s))^{''}$

Jeffrey Stopple

Motivated by the connection to the pair correlation of the Riemann zeros, we investigate the second derivative of the logarithm of the Riemann zeta function, in particular the zero…

math.NT2013

On the theorem of Conrey and Iwaniec

Jeffrey Stopple

An exposition on "Spacing of zeros of Hecke L-functions and the class number problem" by Conrey and Iwaniec; any errors are my own.

Level curves for Zhang's Eta Function

X-Ray of Zhang's eta function

Notes on the Phase Statistics of the Riemann Zeros

Lehmer pairs revisited

Notes on log(ζ(s))′′

On the theorem of Conrey and Iwaniec

Notes on $lo g (ζ (s))^{''}$