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比利时vs摩洛哥足彩 ,
university of california san diego

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math 209 - number theory

david krumm

claremont mckenna college

squarefree parts of polynomial values

abstract:

let c be a hyperelliptic curve defined over the rational numbers, and consider the set s of all squarefree integers d such that the quadratic twist of c by d has a rational point. in this talk we will discuss the question of whether, given a prime number p, the set s contains representatives from all congruence classes modulo p. when c has genus 0 this question can be answered using elementary number theory, but for higher genera it seems to require the use of big conjectures in arithmetic geometry.

march 6, 2014

12:00 pm

ap&m 7321

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