Apache web server tutorial - 3.3.3 THEORETICAL TESTS 85 correlation when a is
3.3.3 THEORETICAL TESTS 85 correlation when a is a good multiplier; the choice c/m = 3 f $,a reduces C substantially only in cases like Example 2 above. And we are fooling ourselves in such cases, since the bad multiplier will reveal its deficiencies in other ways. Clearly we need a better estimate than (39); and such an estimate is now available thanks to Theorem D, which stems principally from the work of U. Dieter [Math. Comp. 25 (1971), 855-8831. Theorem D implies that o(a,m,c) will be small if the partial quotients of a/m are small. Indeed, by analyzing generalized Dedekind sums still more closely, it is possible to obtain quite a sharp estimate: Theorem K. Under the assumptions of Theorem D, we always have 1 aj-c uj+; 5 cr(h,k,c) 2 c uj+; c uj-;. (40) –2 c l