# A note on some positivity conditions related to zeta- and L-functions

@article{Conrey1998ANO, title={A note on some positivity conditions related to zeta- and L-functions}, author={J. Brian Conrey and Xian-jin Li}, journal={arXiv: Number Theory}, year={1998} }

L. de Branges proposed an approach to the Riemann hypothesis using certain positivity conditions. In this paper, the authors examine this approach and indicate its difficulty.

## 16 Citations

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The paper studies the local zero spacings of deformations of the Riemann ξ-function under certain averaging and differencing operations. For real h we consider the entire functions Ah(s) := 1 (ξ(s +…

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