ec 2 00 7 Character sums to smooth moduli are small

نویسنده

  • Leo Goldmakher
چکیده

(where χ (mod q) is a Dirichlet character) arise naturally in many classical problems of analytic number theory, from estimating the least quadratic nonresidue (mod p) to bounding L-functions. Recall that for any character χ (mod q) , |Sχ(x)| is trivially bounded above by φ(q). A folklore conjecture (which is a consequence of the Generalized Riemann Hypothesis) predicts that for nonprincipal characters the true bound should look like1 |Sχ(x)| ≪ǫ √ x · q.

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تاریخ انتشار 2008