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On the computation of modules of long quadrilaterals
Authors:Dieter Gaier  Walter Hayman
Institution:1. Mathematisches Institut, Universitat Giessen, Arndtstrasse 2, W-63, Giessen, FRG
2. Department of Mathematics, University of York, YO1 5DD, Heslington, York, England
Abstract:We study quadrilateralsQ which are given by two intervals on {zeta:Im zeta = 0} and {zeta:Im zeta = 1}, and two Jordan arcsgamma 1,gamma 2, in {zeta:0 les Im zeta les 1} connecting these two intervals. Many practical problems require the determination of the modulem(Q) ofQ, but ifQ is ldquolong,rdquo i.e., if

$$h: = \min \{ \operatorname{Re} \zeta :\zeta \in \gamma _2 \} - \max \{ \operatorname{Re} \zeta :\zeta \in \gamma _1 \}$$
Keywords:AMS classification" target="_blank">AMS classification  30C30  30E10  30C35
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