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Nathan Ng - Prime number races
| NATHAN NG, University of British Columbia |
| Prime number races |
In 1853, Chebyshev observed that there seemed to be more prime numbers
congruent to 
than to 
. In 1994, Micheal
Rubinstein and Peter Sarnak were able to explain this phenomenon under
certain natural hypotheses concerning Dirichlet L-functions. I will
describe generalizations of their results to Chebotarev's Density
Theorem. Chebotarev's density theorem is a theorem from algebraic
number theory that describes certain interesting sets of prime
numbers. Numerical results presented will depend on having large lists
of zeros of Artin L-functions.
