Oops! I left a factor of pi out of the reflection theta-ands. Should be 2 3 (z - 1/2) (q; q) sqrt(q) (1 - q) inf qfac(- z, q) qfac(z - 1, q) = -------------------------------------, 2 2 %pi ------ 2 %pi log(q) sqrt(- ------) theta (%pi z, %e ) log(q) 1 2 2 3 2 -3/4 (q ; q ) (1 - q ) q inf qfaq(- z, q) qfaq(z - 1, q) = --------------------------------------. 2 %pi ------ %pi log(q) sqrt(- ------) theta (%pi z, %e ) log(q) 1 Well, that didn't arouse any q-slingers (why isn't PATHETIC the opposite of APATHETIC?), but maybe this will: How would you like your computer algebra system to say -1/24 log(q) q eta(------) instead of qpoch(q,q,oo) ? 2 i pi Rationale: the latter is less simple because it is a special function of three arguments instead of one. And speaking of logs (and 7), I invoke the coffeehouse clause of the math-fun charter to mention one-log fires. A storm on 1 Jan felled a lot of nearby trees (one fatal to a bicyclist), including a 6" thick mystery hardwood that splintered down to broomstraws. I sawed off an adjoining segment, stood it in a fireplace on the frayed end, lit it with no paper or kindling, and it burnt slowly and completely. Is this a hint to commercial firewood cutters? (Forget chainsaws--all you need is a big drill and quarter sticks of dynamite.) Another idea: drill a tight cluster of seven, say, holes down the center of a fat log; stand on end; and light the thin walls between the holes. --rwg Save Hangar One