TL;DR
This paper establishes a formula for special L-values of Drinfeld modules, providing characteristic-p analogues of classical number theory conjectures like class number and BSD, with a self-contained proof.
Contribution
It presents a new formula for Goss L-values of Drinfeld modules, extending classical conjectures into the function field setting with a complete proof.
Findings
Derived a formula for Goss L-values of Drinfeld modules
Established analogues of class number and BSD conjectures in characteristic p
Provided a self-contained proof of the main formula
Abstract
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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