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Log-algebraic identities on Drinfeld modules and special L-values
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Log-algebraic identities on Drinfeld modules and special L-values

Chieh-Yu Chang, Ahmad El-GuindyMatthew A. Papanikolas
Journal of the London Mathematical Society, 卷.97(2), 頁碼.125-144
04/2018

摘要

11G09 (primary) 11J93 (secondary) 11M38 Mathematics (all)
We formulate and prove a log-algebraicity theorem for arbitrary rank Drinfeld modules defined over the polynomial ring F q [θ]. This generalizes results of Anderson for the rank 1 case. As an application we show that certain special values of Goss L-functions are linear forms in Drinfeld logarithms and are transcendental.

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