• Corpus ID: 248721980

A Motivic Pairing and the Mellin Transform in Function Fields

  title={A Motivic Pairing and the Mellin Transform in Function Fields},
  author={Nathan Green},
. We define two pairings relating the A -motive with the dual A -motive of an abelian Anderson A -module. We show that specializations of these pairings give the exponential and logarithm functions of this Anderson A -module, and we use these specializations to give precise formulas for the coefficients of the exponential and logarithm functions. We then use this pairing to express the exponential and logarithm functions as evaluations of certain infinite products. As an application of these ideas… 



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