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Lectures Year : 2015

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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Dates and versions

cel-01215340 , version 1 (14-10-2015)

Identifiers

  • HAL Id : cel-01215340 , version 1

Cite

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