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math.NT2009★ 1 cited
Algebraic independence of arithmetic gamma values and Carlitz zeta values
Chieh-Yu Chang, Matthew A. Papanikolas, Dinesh S. Thakur +1
We consider the values at proper fractions of the arithmetic gamma function and the values at positive integers of the zeta function for F_q[theta] and provide complete algebraic i…
math.NT2003★ 3 cited
Canonical Heights, Transfinite Diameters, and Polynomial Dynamics
Matthew Baker, Liang-Chung Hsia
Let phi(z) be a polynomial of degree at least 2 with coefficients in a number field K. Iterating phi gives rise to a dynamical system and a corresponding canonical height function,…