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arxiv: 1004.4304 · v4 · pith:BFIYRWJ7new · submitted 2010-04-24 · 🧮 math.NT

Special L-values of Drinfeld modules

classification 🧮 math.NT
keywords formuladrinfeldanaloguesbirchcertaincharacteristic-p-valuedclassconjecture
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We state and prove a formula for a certain value of the Goss L-function of a Drinfeld module. This gives characteristic-p-valued function field analogues of the class number formula and of the Birch and Swinnerton-Dyer conjecture. The formula and its proof are presented in an entirely self-contained fashion.

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