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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.NT2021
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 $$ B_n(s)= \frac{1}{2} \left [ n^{-s} + χ(s) \cd…
math.NT2019
An approximate functional equation for the Riemann zeta function with exponentially decaying error
Yochay Jerby
It is known by a formula of Hasse-Sondow that the Riemann zeta function is given, for any , by where $$ \widetilde…