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math.NT2011
Conditionally bounding analytic ranks of elliptic curves
Jonathan W. Bober
We describe a method for bounding the rank of an elliptic curve under the assumptions of the Birch and Swinnerton-Dyer conjecture and the generalized Riemann hypothesis. As an exam…
math.NT2011★ 8 cited
The distribution of the maximum of character sums
Jonathan Bober, Leo Goldmakher
We obtain explicit bounds on the moments of character sums, refining estimates of Montgomery and Vaughan. As an application we obtain results on the distribution of the maximal mag…