Torsion points on Jacobians of quotients of Fermat curves and p-adic soliton theory.
Local factorization of determinants of twisted DR cohomology groups
Cyclotomy and an extension of the Taniyama group
A Short Proof of Selberg's Generalized Beta Formula.
The hyperadelic gamma function.
Logarithmic derivatives of Dirichlet -functions and the periods of abelian varieties
Interpolation of hypergeometric ratios in a global field of positive characteristic
For each global field of positive characteristic we exhibit many examples of two-variable algebraic functions possessing properties consistent with a conjectural refinement of the Stark conjecture in the function field case recently proposed by the author. All the examples are Coleman units. We obtain our results by studying rank one shtukas in which both zero and pole are generic, i. e., shtukas not associated to any Drinfeld module.
Page 1