Publications of the Research Institute for Mathematical Sciences


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Volume 46, Issue 2, 2010, pp. 289–334
DOI: 10.2977/PRIMS/10

Published online: 2010-06-07

The Rigid Analytical Regulator and K2 of Drinfeld Modular Curves

Ambrus Pál[1]

(1) Imperial College, London, UK

We evaluate a rigid analytical analogue of the Beilinson–Bloch–Deligne regulator on certain explicit elements in the K2 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.

Keywords: Regulator, special values of L-functions, Drinfeld modular curves

Pál Ambrus: The Rigid Analytical Regulator and K2 of Drinfeld Modular Curves. Publ. Res. Inst. Math. Sci. 46 (2010), 289-334. doi: 10.2977/PRIMS/10