K1 of products of Drinfeld modular curves and special values of L-functions
2010 ◽
Vol 146
(4)
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pp. 886-918
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Keyword(s):
AbstractBeilinson [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 H2 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.
2015 ◽
Vol 18
(1)
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pp. 699-712
Keyword(s):
2017 ◽
Vol 153
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pp. 889-946
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Vol 48
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pp. 535-546
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2012 ◽
Vol 18
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pp. 1-18
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Vol 2019
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pp. 1-138
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Vol 08
(03)
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pp. 697-714
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Vol 2005
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pp. 115-144
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pp. 189-198
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pp. 27-94
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