Sums of squares in function fields of elliptic curves

In this dissertation we examine the problem of determining restricted representation numbers. Let k be the function field of a curve over a finite field and let w be a place of k of degree 1. Then r₂ᵢ(ξ,n) denotes the number of representations of ξ as a sum of 2Ι squares where the summands are integ...

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Bibliographic Details
Main Author: Cunningham, Geoffrey William
Other Authors: Ulmer, Douglas
Language:en_US
Published: The University of Arizona. 2000
Subjects:
Online Access:http://hdl.handle.net/10150/289166