Log‐algebraic identities on Drinfeld modules and special L‐values Academic Article uri icon

abstract

  • © 2018 London Mathematical Society We formulate and prove a log-algebraicity theorem for arbitrary rank Drinfeld modules defined over the polynomial ring Fq[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.

altmetric score

  • 0.5

author list (cited authors)

  • Chang, C., El‐Guindy, A., & Papanikolas, M. A.

citation count

  • 3

publication date

  • January 2018

publisher