# A New Proof of Newman's Conjecture and a Generalization

@article{Dobner2020ANP, title={A New Proof of Newman's Conjecture and a Generalization}, author={Alexander Dobner}, journal={arXiv: Number Theory}, year={2020} }

Newman's conjecture (proved by Rodgers and Tao in 2018) concerns a certain family of deformations $\{\xi_t(s)\}_{t \in \mathbb{R}}$ of the Riemann xi function for which there exists an associated constant $\Lambda \in \mathbb{R}$ (called the de Bruijn-Newman constant) such that all the zeros of $\xi_t$ lie on the critical line if and only if $t \geq \Lambda$. The Riemann hypothesis is equivalent to the statement that $\Lambda \leq 0$, and Newman's conjecture states that $\Lambda \geq 0$.
In…

## 2 Citations

Jensen polynomials are not a viable route to proving the Riemann Hypothesis

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