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We formulate and prove a log‐algebraicity theorem for arbitrary rank Drinfeld modules defined over the polynomial ringF  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.

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