Yochay Jerby

collaborators

4 papers

math.NT2025

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…

math.GM2025

The $A$ -philosophy for the Hardy $Z$ -Function

Yochay Jerby

In recent works we have introduced the parameter space $Z_{N}$ of $A$ -variations of the Hardy $Z$ -function, $Z (t)$ , whose elements are functions of the form \begin{equation…

math.GM2025

On Edwards' Speculation and a New Variational Method for the Zeros of the $Z$ -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…

math.GM2025

On the approximation of the Hardy $Z$ -function via high-order sections

Yochay Jerby

Sections of the Hardy $Z$ -function are given by $Z_{N} (t) := \sum_{k = 1}^{N} \frac{cos ( I ^ ¸ ( t ) - l n ( k ) t )}{k}$ for any $N \in N$ . Sections approximate the Hardy $Z$ -funct…

Variations of the Hardy Z-Function and the Montgomery Pair Correlation Conjecture

The A-philosophy for the Hardy Z-Function

On Edwards' Speculation and a New Variational Method for the Zeros of the Z-Function

On the approximation of the Hardy Z-function via high-order sections

The $A$ -philosophy for the Hardy $Z$ -Function

On Edwards' Speculation and a New Variational Method for the Zeros of the $Z$ -Function

On the approximation of the Hardy $Z$ -function via high-order sections