Riemann sequences are defined to mimic the zeta-zero asymptotic; the zeta zeros form one, infinitely many others are constructed via crystalline measures, and the paper asks whether the zeta sequence is the unique real one.
Bateman, Tables of Integral transforms, Vol 1, MacGraw-Hill, New York, 1954
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Asymptotic properties of zeros of Riemann zeta function
Riemann sequences are defined to mimic the zeta-zero asymptotic; the zeta zeros form one, infinitely many others are constructed via crystalline measures, and the paper asks whether the zeta sequence is the unique real one.