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

Autor:	Chang, Chieh-Yu, El-Guindy, Ahmad, Papanikolas, Matthew A.
Rok vydání:	2017
Předmět:	Mathematics - Number Theory 11G09 (Primary) 11M38 11J93 (Secondary)
Zdroj:	J. Lond. Math. Soc. (2) 97 (2018), no. 2, 125-144
Druh dokumentu:	Working Paper
DOI:	10.1112/jlms.12098
Popis:	We formulate and prove a log-algebraicity theorem for arbitrary rank Drinfeld modules defined over the polynomial ring F_q[theta]. This generalizes results of Anderson for the rank one case. As an application we show that certain special values of Goss L-functions are linear forms in Drinfeld logarithms and are transcendental. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.03368 Zobrazit plný text záznamu View this record from Arxiv