8 citations · 10 across the 13 of their papers we have counts for
17 papers
On the Sampling of Certain Dirichlet and Prime Sums at Gram Points and their Viscosity
Yochay Jerby
Consider the Dirichlet polynomial and its prime-indexed sub-sum \[ \begin{array}{ccc} E(t) := \sum_{k\le \left[ \sqrt{ \frac{t}{2π} } \right]} \frac{e^{it\log k}}{\sqrt{k}}, & ; &…
Variations of the Hardy Z-Function and the Montgomery Pair Correlation Conjecture
Yochay Jerby
In 1973 Montgomery formulated the pair correlation conjecture, predicting that the local spacing statistics of the nontrivial zeros of the Riemann zeta function coincide with those…
The -philosophy for the Hardy -Function
Yochay Jerby
In recent works we have introduced the parameter space of -variations of the Hardy -function, , whose elements are functions of the form \begin{equation…
On Edwards' Speculation and a New Variational Method for the Zeros of the -Function
Yochay Jerby
In his foundational book, Edwards introduced a unique "speculation" regarding the possible theoretical origins of the Riemann Hypothesis, based on the properties of the Riemann-Sie…
On the approximation of the Hardy -function via high-order sections
Yochay Jerby
Sections of the Hardy -function are given by for any . Sections approximate the Hardy -functi…
A New Discriminant for the Hardy Z-Function and the Corrected Gram's law
Yochay Jerby
In this paper, we introduce a novel variational framework rooted in algebraic geometry for the analysis of the Hardy -function. Our primary contribution lies in the definition a…
The mirror Lagrangian cobordism for the Euler exact sequence
Yochay Jerby
For the Euler sequence is given by $$ 0 \rightarrow Ω^1_{\mathbb{P}^n} \rightarrow \mathcal{O}_{\mathbb{P}^n}^{n+1}(-1) \rightarrow \mathcal{O}_{\mathbb{P}^n} \r…
A dynamic approach for the zeros of the Riemann zeta function - collision and repulsion
Yochay Jerby
For consider the -th section of the approximate functional equation where $$ B_n(s)= \frac{1}{2} \left [ n^{-s} + χ(s) \cd…
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 , by where $$ \widetilde…
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 was conjectured by R. Spira. The -monotonicity property can be written as f…
On Fermat curves modulo a finite number
Yochay Jerby
We show that the existence of a non-trivial solution of , with a prime number, is equivalent to the existence of a solution of a certain (over-determined) system o…
On Landau-Ginzburg systems and of various toric Fano manifolds with small picard group
Yochay Jerby
For a toric Fano manifold denote by the solution scheme of the Landau-Ginzburg system of equations of . Examples of toric Fano manifo…
On exceptional collections of line bundles and mirror symmetry for toric Del-Pezzo surfaces
Yochay Jerby
Let be a toric Del-Pezzo surface and let be the solution scheme of the Landau-Ginzburg system of equations. Denote by the po…
On Landau-Ginzburg Systems and of projective bundles
Yochay Jerby
Let be a Fano projective bundle over and denote by $Crit(X) \subs…
On Landau-Ginzburg systems, Quivers and Monodromy
Yochay Jerby
Let be a toric Fano manifold and denote by the solution scheme of the corresponding Landau-Ginzburg system of equations. For toric Del…
The symplectic topology of projective manifolds with small dual
Paul Biran, Yochay Jerby
We study smooth projective varieties with small dual variety using methods from symplectic topology. We prove the affine parts of such varieties are subcritical, and that the hyper…
A Note On Lagrangian Vanishing Sphere Bundles
Yochay Jerby
A classical way to construct a Lagrangian in a symplectic manifold is to let appear as a smooth fiber in a Lefschetz fibration. If this is possible the singularities of the…