Article ID Journal Published Year Pages File Type
4595215 Journal of Number Theory 2007 20 Pages PDF
Abstract

We calculate basic values of the double sine function. The algebraicity for some special values is proved. Its behavior in the fundamental domain is also studied. Especially we show that it has just two extremes: one relative maximum and one relative minimum. Asymptotic formulas for these extremal values are proved.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory