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The Jensen-P\'{o}lya program for various L-functions
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The Jensen-P\'{o}lya program for various L-functions
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P\'{o}lya proved in 1927 that the Riemann hypothesis is equivalent to the hyperbolicity of all of the Jensen polynomials of degree $d$ and shift $n$ for the Riemann Xi-function. Recently, Griffin, Ono, Rolen, and Zagier proved that for each degree $d \geq 1$ all of the Jensen polynomials for the Riemann Xi-function are hyperbolic except for possibly finitely many $n$. Here we extend their work by showing the same statement is true for suitable $L$-functions. This offers evidence for the generalized Riemann hypothesis.
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