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math.NT2011★ 19 cited
Explicit formulas for Drinfeld modules and their periods
Ahmad El-Guindy, Matthew A. Papanikolas
We provide explicit series expansions for the exponential and logarithm functions attached to a rank r Drinfeld module that generalize well known formulas for the Carlitz exponenti…
math.NT2011★ 2 cited
Algebraic independence of values of Goss L-functions at s=1
Brad A. Lutes, Matthew A. Papanikolas
We investigate special values of Goss L-functions for Dirichlet characters at s=1 over rings of class number one and prove results on their transcendence and algebraic independence…