1 citations · 1 across the 1 of their papers we have counts for
3 papers
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.NT2005
Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
Matthew A. Papanikolas
We develop a theory of Tannakian Galois groups for t-motives and relate this to the theory of Frobenius semilinear difference equations. We show that the transcendence degree of th…
math.NT1999
Canonical heights on elliptic curves in characteristic p
Matthew A. Papanikolas
We define a new canonical height pairing on the rational points of elliptic curves over global function fields which takes values in the multiplicative group of a completion of the…