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On Summable Positive Sequences

Abstract : In this talk we first derive necessary conditions for a class of entire functions having only positive zeros. They are stated in terms of positive semidefinite matrices that have logarithmic derivatives of the function as elements. By applying this necessary condition to the Riemann Xi function we prove that the Riemann hypothesis is false.
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https://hal.inria.fr/cel-01215340
Contributor : Ruiming Zhang <>
Submitted on : Wednesday, October 14, 2015 - 5:22:07 AM
Last modification on : Wednesday, June 30, 2021 - 8:58:03 AM
Long-term archiving on: : Thursday, April 27, 2017 - 4:26:04 AM

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Ruiming Zhang. On Summable Positive Sequences. Doctoral. China. 2015. ⟨cel-01215340⟩

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