145 citations · 451 across the 29 of their papers we have counts for
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math.NT2005★ 10 cited
On the torsion of Jacobians of principal modular curves of level 3^n
Matthew Papanikolas, Christopher Rasmussen
We demonstrate that the 3-power torsion points of the Jacobians of the principal modular curves X(3^n) are fixed by the kernel of the canonical outer Galois representation of the p…
math.NT2005★ 145 cited
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…