Yochay Jerby

activity

20172021

collaborators

4 papers

math.NT2021

A dynamic approach for the zeros of the Riemann zeta function - collision and repulsion

Yochay Jerby

For $N \in N$ consider the $N$ -th section of the approximate functional equation $ζ_{N} (s) = n = 1 \sum N B_{n} (s),$ where $$ B_n(s)= \frac{1}{2} \left [ n^{-s} + χ(s) \cd…

math.NT2019

An approximate functional equation for the Riemann zeta function with exponentially decaying error

Yochay Jerby

It is known by a formula of Hasse-Sondow that the Riemann zeta function is given, for any $s = σ + i t \in C$ , by $\sum_{n = 0}^{\infty} A (n, s)$ where $$ \widetilde…

math.GM2017

An experimental study of the monotonicity property of the Riemann zeta function

Yochay Jerby

In 1970, based on newly available empiric evidence, a remarkable monotonicity property for $∣ ζ (z) ∣$ was conjectured by R. Spira. The $ζ$ -monotonicity property can be written as f…

math.GM2017

On Fermat curves modulo a finite number

Yochay Jerby

We show that the existence of a non-trivial solution of $x^{n} + y^{n} = p^{n}$ , with $p$ a prime number, is equivalent to the existence of a solution of a certain (over-determined) system o…