Felix Cristiano Paim Kessler

Eventual Sign-Regularity of Nuttall Cumulants: Finiteness in Conjecture 1

John Nuttall introduced a sequence of cumulants Ψ𝑚 associated with the Riemann 𝜉-kernel Φ andconjectured that, for every fixed order 𝑟 > 1, there is a finite least index 𝑚(𝑟) for which the additiveHankel kernel 𝐾𝑚(𝑢, 𝑣) = Ψ𝑚(𝑢 + 𝑣) is sign-reverse regular of order 𝑟. We prove the...