An Integral Equation for Riemann’s Zeta Function and Its Approximate Solution

Figure 18

The nature of the functions to using . The extremum values are shown to demonstrate the accuracy of the estimates (C.1), (C.5), (C.6), (C.8), and (C.9). The location points (C.4), (C.7), and (C.10) are also shown (dashdot). The arrows correspond to (C.11) and the vertical dotted lines show the location ((C.2) and (C.12)) of the half-height line.

(a)

(b)