Hyperelliptic Curves, L-Polynomials, and Random Matrices

We analyze the distribution of unitarized L-polynomials Lp(T) (as p varies) obtained from a hyperelliptic curve of genus g [less than or equal to] 3 defined over Q. In the generic case, we find experimental agreement with a predicted correspondence (based on the Katz-Sarnak random matrix model) be...

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Bibliographic Details
Main Authors: Kedlaya, Kiran S., Sutherland, Andrew Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society 2011
Online Access:http://hdl.handle.net/1721.1/64701