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Texas A&M University
Mathematics

Number Theory Seminar

Date: April 19, 2017

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Nathan Green, Texas A&M University

  

Title: Tensor powers of rank 1 Drinfeld modules on elliptic curves

Abstract: We study tensor powers of rank 1 sign-normalized Drinfeld A-modules, where A is the affine coordinate ring of an elliptic curve. Using the theory of A-motives, we find explicit formulas for the A action of these modules. Then, by developing the theory of vector valued Anderson generating functions, we give formulas for the coefficients of the logarithm and exponential functions associated to these A-modules, as well as formulas for the fundamental period.

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