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Forum: Math 2011-02-23, 20:10
Replies: 1
Views: 653
Posted By intrigued
Post Elementary Question on Dirichlet L-functions

Given \epsilon > 0, K(\epsilon) \ge 2, and c > 0, such that if q > K and for every d \mid q with \chi a primitive character \pmod d we have if L(s, \chi) \ne 0, for Re(s) > 1 - \frac{1}{(\log...
Forum: Math 2011-02-19, 06:33
Replies: 1
Views: 831
Posted By intrigued
Post Deligne's work on the Weil conjectures

For the Frobenius automorphism F, Grothendieck proved that the zeta function \zeta(s) is equivalent to
\zeta(s) = \frac{P_1(T)\ldots P_{2n-1}(T)}{P_0(T)\ldots P_{2n}(T)},
where the polynomial...
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