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Infinitely Many Off-Critical-Line Zeros of the Tempered Xi Function: A Disproof of Yang's Conjecture

Kazin, Aiken et al.
arXiv (All) · Papers
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complex-variablesnumber-theory
Yang introduced a tempered xi function $\widehatξ(s)$ by replacing the hyperbolic cosine in a classical integral representation of the Riemann xi function by a hyperbolic sine, and conjectured that every zero of $\widehatξ$ lies on the critical line $\Re s=1/2$. We disprove this conjecture. After th
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