Strange timing … I just concluded a short course with this function (and hadn’t realized it has a history and is called “lacunary”): http://uuuuuu.lassp.cornell.edu/courses/physics_7654_asymptotic_analysis We stayed on the real axis, but the plot on the website, that covers the interior of the unit disk, suggests the boundary behavior at e^(\pm i2pi/3) is special. Is anything known about that? -Veit
On Mar 26, 2019, at 10:05 PM, Bill Gosper <billgosper@gmail.com> wrote:
https://www.wolframcloud.com/objects/d0cafba7-0635-40d3-83af-c71cd08ca033 and possibly seminal paper <http://gosper.org/total_term_computations_case2.pdf> . "While this work stands alone as a very interesting identity, it suggests more deeply that the lacunary series above CAN be extended to a function on the entire complex plane, through some advanced generalization of analytic continuation." —rwg