<i>K</i> <sub>1</sub> of products of Drinfeld modular curves and special values of <i>L</i> -functions
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Bibliographic record
Abstract
Abstract Beilinson [ Higher regulators and values of L -functions , Itogi Nauki i Tekhniki Seriya Sovremennye Problemy Matematiki Noveishie Dostizheniya (Current problems in mathematics), vol. 24 (Vserossiisky Institut Nauchnoi i Tekhnicheskoi Informatsii, Moscow, 1984), 181–238] obtained a formula relating the special value of the L -function of H 2 of a product of modular curves to the regulator of an element of a motivic cohomology group, thus providing evidence for his general conjectures on special values of L -functions. In this paper we prove a similar formula for the L -function of the product of two Drinfeld modular curves, providing evidence for an analogous conjecture in the case of function fields.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
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