The rigid analytical regulator and K_2 of Drinfeld modular curves
arXiv:0912.3123
Abstract
We evaluate a rigid analytical analogue of the Beilinson-Bloch-Deligne regulator on certain explicit elements in the K_2 of Drinfeld modular curves, constructed from analogues of modular units, and relate its value to special values of L-series using the Rankin-Selberg method.
38 pages, to appear in Publ. Res. Inst. Math. Sci