A Li–type Criterion for Zero–free Half–planes of Riemann’s Zeta Function
نویسنده
چکیده
In fact, and as remarked in [BL], the idea behind Li’s criterion is that the RH holds if and only if the coefficients λn satisfy a growth condition, namely, that lim sup |λn+1| ≤ 1, and that this may in fact be replaced by the (one–sided) condition on their positivity. From this it follows that the positivity of Li’s coefficients is related to the derivatives of the functions ξ and φ. At this point it should be mentioned that a set of coefficients which differ from Li’s only by a (positive) multiplicative constant was introduced earlier by Keiper
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تاریخ انتشار 2008