On Two Questions of Entin, Keating, and Rudnick on Primitive Dirichlet Characters
نویسنده
چکیده
This is Part II of the paper “A question of Keating and Rudnick about primitive Dirichlet characters with squarefree conductor” [Ka-QKRPD]. Here we prove two independence results for tuples of character sums, either formed with a variable character and its powers, or formed with two characters and their product.
منابع مشابه
On a Question of Keating and Rudnick about Primitive Dirichlet Characters with Squarefree Conductor
We prove equidistribution results, in the function field setting, for the L-functions attached to primitive, odd Dirichlet characters with a fixed squarefree conductor.
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This is Part II of the paper “Witt vectors and a question of Keating and Rudnick” [Ka-WVQKR]. Here we prove an independence result for tuples of character sums, formed with a variable character and its powers. In the Appendix, we prove an independence result for tuples of character sums formed with variable pairs of characters and products of the two.
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We study the 2k th power moment of Dirichlet L-functions L(s, χ) at the centre of the critical strip (s = 1/2), where the average is over all primitive characters χ (mod q). We extend to this case the hybrid Euler-Hadamard product results of Gonek, Hughes & Keating for the Riemann zeta function. This allows us to recover conjectures for the moments based on random matrix models, incorporating t...
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