Showing papers by "Henryk Iwaniec published in 2005"
TL;DR: In this paper, a generalization of an elegant divisor sum bound due to F. V. Atkinson is presented for Dirichlet series coefficients satisfying a suitable functional equation.
Abstract: With applications in mind we establish a summation formula for the coefficients of a general Dirichlet series satisfying a suitable functional equation. Among a number of consequences we derive a generalization of an elegant divisor sum bound due to F. V. Atkinson.
65 citations
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TL;DR: In this article, the authors study some of the extremely strong statements that can be made about the distribution of primes assuming the (unlikely) existence of exceptional Dirichlet characters.
Abstract: We study some of the extremely strong statements that can be made about the distribution of primes assuming the (unlikely) existence of exceptional Dirichlet characters. We treat this in general and then apply the results to the particular cases of primes of the form a2 + b6 and of elliptic curves having prime discriminant.
21 citations